Aerospace and Mechanical Engineering
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Roger L. Fosdick
College of Science & Engineering Distinguished Professor Emeritus

Contact Information:

205A Akerman

612-625-3072


Roger Fosdick 

Research Areas


-Broad spectrum of problems in thermodynamics and continuum mechanics at both the applied and foundation levels
-Study of non-linear material behavior using the methods of applied mathematics

Degrees

B.S., Mechanical. Engineering, Illinois Institute of Technology, 1959
Ph.D., Applied Mathematics, Brown University, 1963

Professional Experience

1969 - present Professor of Mechanics Department of Aerospace Engineering and Mechanics
University of Minnesota
1965 - 1969 Associate Professor of Mechanics Department of Mechanics
Illinois Institute of Technology
1962 - 1965 Assistant Professor of Mechanics Department of Mechanics
Illinois Institute of Technology
1959 - 1962 National Defense Act Fellow and Research Assistant Graduate Student
Division of Applied Mathematics
Brown University
1961 - 1962 Visiting Fellow Mathematics Department
University of Durham, King's College
Newcastle-upon-Tyne, England
1964 Consultant
Research Associate
ITT Research Institute (1 month)
Division of Applied Mathematics
Brown University (2 months)
1965 Resident Research Associate Argonne National Laboratories (3 months)
1977 Visiting Professor Department of Chemical Engineering
Federal University of Rio de Janeiro
COPPE, Brazil (2 months)
1980 Erskine Fellow and Visiting Professor Department of Civil Engineering
University of Cantebury
Christchurch, New Zealand (2 months)
1982 Visiting Professor Planta Piloto de Ingenieria Quimica
Universidad Na¸cional del Sur
Bahia Blanca, Argentina (2 months)
1986 Summer University Faculty Thermomechanical and Physical Div. 1534
Sandia National Laboratories, Albuquerque, NM (2 months)
1987 CNR Visiting Professor  Instituto di Scienza delle Costruzioni
Universita di Pisa, Pisa, Italy (2 months)
1989 Visiting Professor Instituto di Matematica Applicata
Universita degli Studi di Padova
Padova, Italy (May 19–June 7)
Summer University Faculty Thermomechanical and Physical Div. 1534
Sandia National Laboratories
Albuquerque, NM (2 months)
1990 - 91 Program Coordinator Institute for Mathematics and its Applications Phase Transitions and Free Boundaries
University of Minnesota
1991 CNR Visiting Progressor Instituto di Matematica Applicata
Universita degli Studi di Padova
Padova, Italy
Dipartimento di Ingegneria Strutturale
Universita di Bari
Bari, Italy
Instituto di Scienza delle Costruzioni
Universita di Pisa
Pisa, Italy (May 27-June 22)
1994 Visiting Professor Dipartimento di Ingegneria Strutturale
Universita di Bari Bari, Italy
Instituto di Scienza delle Costruzioni
Universita di Pisa
Pisa, Italy (May 21-June15)
1997 CNR Visiting Professor  Dipartimento di Ingegneria Strutturale Universita di Bari
Bari, Italy
Instituto di Scienza delle Costruzioni
Universita di Pisa
Pisa, Italy (April 14-May 15)
2003 Visiting Professor Dipartimento di Ingegneria Strutturale
Universita di Bari
Bari, Italy
Department of Civil Engineering and Architecture Universita degli Studi di Parma
Parma, Italy
Instituto di Scienza delle Costruzioni
Universita di Pisa
Pisa, Italy (June-July)
2004 Visiting Professor Dipartimento di Ingegneria Strutturale Universita di Bari Bari, Italy
Dipartimento di Ingegneria Civile
Universita di Roma ”Tor Vergata” Rome, Italy (May-June)
2006 Visiting Professor Dipartimento di Ingegneria Strutturale
Universita di Bari
Bari, Italy (January-June)
2008 Visiting Professor Dipartimento di Ingegneria Civile Ambientale Universita di Bari Bari, Italy (May-June)
2010 Visiting Professor Dipartimento di Ingegneria Civile Ambientale Universita di Bari
Bari, Italy (June-July)
2011 Visiting Professor Dipartimento di Ingegneria Civile Ambientale Universita di Bari
Bari, Italy (May)

Special Awards

Laurea Specialistica Honoris Causa in Ingegneria Meccanica, Politecnico di Bari, December, 2005.

Engineering Science Medal for contributions to Engineering Science in the “Understanding of Instabilities in Complex Fluids and Solids”. Society of Engineering Science, October, 2010.

Recognitions

“Advances in Continuum Mechanics and Thermodynamics of Material Behavior: In Recognition of the 60th Birthday of Roger L. Fosdick”. Ed. by Donald E. Carlson & Yi-Chao Chen, Kluwer Academic Publishers, 436 pages, 2000

Professional Societies

  • American Academy of Mechanics, Fellow
  • Society of Natural Philosophy
  • Society for Rheology
  • Society for the Interaction of Mechanics and Mathematics, Founding Member Sigma Xi

Main Professional Activities

  • Editor-in-Chief, Journal of Elasticity (1998–present)
  • Editorial Board, Journal of Elasticity (1970–present)
  • Editorial Board, SIAM Journal on Applied Mathematics (1996–2006)
  • Editorial Board, Electronic Journal of Mathematical & Physical Sciences (2002-present)
  • Editorial Board, Journal of Differential Equations and Nonlinear Mechanics (2005-present)
  • Board of Directors, Society of Engineering Science(SES) (2002-2004)
  • Society of Natural Philosophy:
    • Chairman (2001-2004)
    • Chairman (1999-2001)
    • Chairman (1979–1981)
    • Secretary (1972–1974)
    • Elected Service Member (1975–present)
  • Technical Sponsor in Non-Linear Elasticity:
    • Applied Mechanics Division
    • ASME (1966–1968)
  • Corrosion Research Center:
    • Management Committee
    • University of Minnesota (1981–present)
  • Institute for Mathematics and its Applications:
    • Organizing Committee
    • Coordinator, 1990–91 Program on Phase Transitions and Free Boundaries
    • University of Minnesota (1990–91)
  • AHPCRC Researcher:
    • Army High Performance Computing Research Center
    • University of Minnesota (1991–present)
  • Minnesota Supercomputer Institute:
    • Research Program (1991–present)
    • Scientific Development and Visualation Laboratory Committee (1996–present)
    • Associate Fellow, Supercomputing Institute for Digital Simulation and Advanced Computation (2000–present)
  • I.T. Honors and Awards Committee (1994–96), Chairman (1994)
  • External Advisory Board:
    • Proyecto SENER-CONACYT HIDROCARBUROS 160015
    • UNAM - Instituto de Investigaciones en Materiales
    • University of Mexico (2012–present)

Graduate Student Supervision

Ph.D. Students

  • Karl Schuler (1967)
  • John J. Carey (1968)
  • Ben Geng Kao (1974)
  • J. E. Dunn (1978)
  • K. R. Rajagopal (1978)
  • G. MacSithigh (1982)
  • J. Patino (1984)
  • J. Powers (1985)
  • 5 J. Walter (1986)
  • B. Hertog (1987)
  • Richard Stone
  • Ying Zhang (1990)
  • Sergio Qionones-Cisneros (1992)
  • Jang-Horng Yu (1993)
  • Darren Mason (1996)
  • Adair Aguiar (1998)
  • Eric Petersen (2001)
  • Huang Tang

Masters Students

  • John Carey (1966)
  • David Lamm (1968)
  • Pei Lan Chen (1973)
  • Tseng C. Wong (1974)
  • Richard Stone (1978)
  • Tim Berkopec (1978)
  • G. MacSithigh (1979)
  • Masami Nakagawa (1983)
  • Alex Kessler (1984)
  • Mark Cvetnic (1989)
  • Jang-Horng Yu (1989)
  • Eric Volkmann (1990)
  • James Speck (2002)
  • Bituporn Tontavanich (2014)

Post-Doctoral Scholars and Visitors

  • Richard James (9/78–9/80)
  • Yi-Chao Chen (9/85–6/86)
  • Antonio Vargas (9/88–3/90)
  • Michele Lanubile (1/90–6/90)
  • Ying Zhang (9/91–9/93)
  • Gianni Royer (4/93–10/93)
  • Corneliu Balan (9/94–6/95)
  • Clovis Barcellos (8/94–9/95)
  • Gearoid MacSithigh (9/94–6/95)
  • Gianni Royer (10/94–3/95)
  • Gianni Royer (8/95)
  • Gianni Royer (6/96–7/96)
  • Gianni Royer (8/98–9/98)
  • Gianni Royer (4/99–5/99)
  • Ying Zhang (5/99–6/99)
  • Gianni Royer (8/99–9/99)
  • Matt McCarthy (9/99–1/00)
  • Gianni Royer (1/00–5/00)
  • Gianni Royer (4/01)
  • Adair Aguiar (10/02)
  • Gianni Royer (4/03)
  • Gianni Royer (8/03)
  • Gianni Royer (8/04)
  • Pilade Foti (2/05)
  • Adair Aguiar (1/08)
  • Adair Aguiar (11/10–7/11)
  • Gianni Royer (1/13)
  • Pilade Foti (2/13)

Recent Meetings Organized

1. 48th Meeting of the Society for Natural Philosophy: “Advances in Fundamental and Applied Mechanics: A Bridge between the Physical Behavior and the Mathematical Modeling of Materials”. Foz do Iguacu, Brazil, January 4-8, 2010.

2. 51st Meeting of the Society for Natural Philosophy and joint IMA Participating Institutions Conference: “Mathematics and Mechanics in the Physical Sciences–A Tribute to James Serrin”. Minneapolis, MN, November 14–16, 2013.

Recent Special Lectures

1. Steady, Structured Shock Waves: Thermoelastic Materials. Plenary Lecture. 2nd Canadian Conference on Nonlinear Solid Mechanics. Simon Fraser University, Vancouver, Canada. June, 2002.

2. Three Lectures on Mathematical Research: Electrodynamics and Thermomechanics of Material Bodies; Coexistent Phase Mixtures in Anti-plane Shear; Self-interpenetration in Elasticity. Frontiers of Mathematical Research distinguished lecture series. Department of Mathematics, Texas A&M University, November 28–December 2, 2005.

3. Engagements in Continuum Mechanics. Lectio Doctoralis. Politecnico di Bari. Universita di Bari, Bari, Italy. December 21, 2005.

4. Continuum Mechanics from the Perspective of Invariance. Truesdell Lecturer; Society for Natural Philosophy meeting at the University of Pittsburgh, September, 19-21, 2008.

5. The Elements of Thermodynamics and the Second Law for Ponderable Bodies. Invited Lecturer. International Rubber Science Hall of Fame symposium honoring Ronald Rivlin. Inauguration of Professor Ronald Rivlin into the International Rubber Science Hall of Fame. University of Akron, Ohio, November 6, 2008.

6. Four Lectures on Classical Continuum Thermodynamics and its Invariant Structure. Invited lecture series to the Department of Structural Engineering, University of Sao Paulo, School of Engineering at San Carlos, Brazil, August, 2009.

7. A Causality Approach to Particle Dynamics. Plenary Lecture. Engineering Science Medal. 47th Annual Meeting of the Society of Engineering Science. Iowa State University, Ames, Iowa. October, 2010.

8. The Elements of Thermodynamics and the Second Law for Ponderable Bodies. Plenary Lecture. PACAM XIII Meeting. Houston, Texas. May, 2013.

Books

1. Shock Induced Transitions and Phase Structures in General Media. The IMA Volumes in Mathematics and its Applications, 52. Edited by J. E. Dunn, R. Fosdick, and M. Slemrod, Springer-Verlag, 1993.

2. The Rational Spirit in Modern Continuum Mechanics. Essays and Papers Dedicated to the Memory of Clifford Ambrose Truesdell III. Edited by Chi-Sing Man and Roger L Fosdick, Kluwer Academic Publishers, Dordrecht/Boston/London, 2004.

3. Statistical Mechanics, Molecular Modeling, and the Notion of Stress–An Invited Collection. Edited by Roger Fosdick and Eliot Fried, Springer Science Press, 2010.

4. Methods and Tastes in Modern Continuum Mechanics. Dedicated to the Memory of Donald E. Carlson. Edited by Roger Fosdick, Eliot Fried and Daniel Tortorelli, Springer Science Press, Dordrecht/ Heidelberg/ London/ New York. 2011.

Publications

Short Publications - Forewords and Prefaces

1. Eulogium, Clifford Ambrose Truesdell III. J. Elasticity, 55, 167 (1999).

2. Foreword, A Primer in Elasticity by Paolo Podio-Guidugli. J. Elasticity, 58, No.1, vii (2000).

3. Editorial, Paolo Podio-Guidugli on the occasion of his 60th birthday. J. Elasticity, 60, 81 (2000).

4. Foreword, Soft Tissue Mechanics ed. by S.C. Cowin & J.D. Humphrey. J. Elasticity, 61, No.1-3, vii (2000).

5. Editorial, Piero Villaggio on the occasion of his 70th birthday. J. Elasticity, 68, 1 (2003).

6. In Recognition of the 70th Birthday of Piero Villaggio. J. Elasticity, 68, 3-6 (2003). With G. Royer.

7. Foreword, Essays and Papers Dedicated to the Memory of Clifford Ambrose Truesdell III, ed. by Chi-Sing Man & Roger Fosdick. J. Elasticity, 70, No.1-3, xi (2003).

8. Eulogium, Clifford Ambrose Truesdell III (b.February 18, 1919; d. January 14, 2000). J. Elasticity, 71, No.1-3, xi (2003).

9. Foreword, An Introduction to Differential Geometry with Applications to Elasticity by Philippe G. Ciarlet. J. Elasticity, 78-79, vii (2005).

10. Preface, A Collection of Papers on Surface Phenomena. J. Elasticity, 80, 1 (2005). With D. Steigmann.

11. Preface, On the Past and Future of Natural Philosophy by Walter Noll. J. Elasticity, 84, 1 (2006).

12. Foreword, Stroh Formalism and Rayleigh Waves by Kazumi Tanuma. J. Elasticity, 89, 1 (2007).

13. Preface to: “The Area Rule for Simple Fluid Phase Transitions” by James Serrin. J. Elasticity, 90, 127 (2008).

14. Foreword, The Variational Approach to Fracture by B, Bourdin, G. Francfort & J.-J. Marigo. J. Elasticity, 91, 1 (2008).

15. Foreword, Memoriam to James K. Knowles (1931-2009). J. Elasticity, 98,(2010).

16. Foreword, Statistical Mechanics, Molecular Modeling, and the Notion of Stress–An Invited Collection, Edited by Roger Fosdick & Eliot Fried. J. Elasticity, 100, (2010).

17. Foreword, Papers Dedicated to the Memory of Donald E. Carlson, Edited by Roger Fosdick, Eliot Fried & Daniel A. Tortorelli. J. Elasticity, 105, (2011).

18. Foreword, A Variational Approach to Fracture and Other Inelastic Phenomena by Gianpietro Del Piero. Published in J. Elasticity, 112, (2013). J. Elasticity, 113, (2013).

Research Publications

19. Extremum principles in the theory of small elastic deformations superposed on large elastic deformations. In Progress in Applied Mechanics, The Prager Anniversary Volume, MacMillan Co., 1963. With R.T. Shield.

20. Small bending of a circular bar superposed on finite extension or compression. Arch. Ration. Mech. Anal., 12, 223–248 (1963). With R.T. Shield.

21. On the vector potential and the representation of a polyharmonic function in ndimensions. J. Math. Mech. 4, 573–588 (1965)

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22. Remarks on Compatibility. In Modern Developments in the Mechanics of Continua, 109–127, Academic Press, 1966

23. Extremum principles in heat conduction for rigid heat conductors. Acta Mechanica, 4, 241–272 (1967)

24. Visco-plastic flow of a thin circular plate. Proc. Tenth Midwestern Mech. Conference, 1967. With E.J. Appleby, J.J. Carey and P.G. Hodge, Jr.

25. On the displacement boundary-value problem of static linear elasticity theory. ZAMP, 19, 219–233 (1968)

26. A note on non-uniqueness in linear elasticity theory. ZAMP, 19, 906–912 (1968). With W.S. Edelstein.

27. Dynamically possible motions of incompressible, isotropic, simple materials. Arch. Ration. Mech. Anal., 29, 272–288 (1968)

28. On general measures of deformation. Acta Mechanica, 6, 275–295 (1968). With A.S. Wineman.

29. A class of dynamically possible steady motions of incompressible, isotropic simple materials. Int. J. Non-Linear Mech., 4, 79–73 (1969).

30. On Ericksen’s problem for plane deformations with uniform transverse stretch. Int. J. Engrg. Sci., 7, 217–233 (1969). With K.W. Schuler

31. On four rheological relations. Rheol. Acta, 4, 186–193 (1970). With B. Bernstein.

32. Non uniqueness of second order fluids under steady radial flow in annuli. Int. J. Engrg. Sci., 7, 555–569 (1969). With B. Bernstein.

33. On the complete representation of biharmonic functions. SIAM J. Appl. Math , 19, 243–250 (1970)

34. A note on the C-N inequality. ZAMP, 21, 1083–1084 (1970)

35. Elastic stability and the zero moment condition. J. Elasticity, 1, 19–28 (1971)

36. Statically possible radially symmetric deformations in isotropic, incompressible elastic solids. ZAMP, 22, 590–607 (1971)

37. Rectilinear steady flow of simple fluids. Proc. Roy. Soc. London, A332, 311–333 (1973). With J. Serrin.

38. The free surface on a liquid between cylinders rotating at different speeds, Part I. Arch. Ration. Mech. Anal., 49, 321–380, (1973). With D.D. Joseph.

39. The free surface on a liquid between cylinders rotating at different speeds, Part II. Arch. Ration. Mech. Anal., 49, 381–401 (1973). With G.S. Beavers and D.D. Joseph.

40. Thermodynamics, stability and boundedness of fluids of complexity 2 and fluids of second grade. Arch. Ration. Mech. Anal., 56, 191–252, (1974). With J. Dunn.

41. Global properties of continuum thermodynamic processes. Arch. Ration. Mech. Anal., 59, 97–109 (1975). With J. Serrin.

42. Global properties of continuum thermodynamic processes. Proc. 12th Annual Mtg. Soc. Engng. Sci., University of Texas at Austin, 185–191 (1975)

43. Universal flows in the simplest theories of fluids. Annali Della Schola Normale Superiore Di Pisa, IV 2, 323–341 (1977). With C. Truesdell.

44. Transverse deformations associated with rectilinear shear in elastic solids. J. Elasticity, 8, 117–142 (1978). With B. Kao.

45. Uniqueness and drag for fluids of second grade in steady motion. Int. J. Non-Linear Mech., 13, 131–137 (1978). With K. Rajagopal.

46. Lemmas in thermodynamic stability: A priori inequalities and induced global bounds on thermodynamic states. Arch. Ration. Mech. Anal., 67, 183–224 (1978). With J.E. Dunn.

47. On an inequality in thermodynamic stability. In Contemporary Developments in Continuum Mechanics and Partial Differential Equations, eds. G. De LaPenha and L. Medeiros, North-Holland Math. Studies 30, 143–170 (1978).

48. On the impossibility of linear Cauchy and Piola-Kirchoff constitutive theories for stress in solids. J. Elasticity, 9, 83–89 (1979). With J. Serrin.

49. Anomalous features in the model of “second order fluids.” Arch. Ration. Mech. Anal., 70, 145–152 (1979). With K.R. Rajagopal.

50. The morphology and stability of material phases. Arch. Ration. Mech. Anal., 74, 1–99 (1980). With J.E. Dunn.

51. Thermodynamics and stability of fluids of third grade. Proc. Roy. Soc. London, A 339, 351–377 (1980). With K.R. Rajagopal.

52. Shearing motions and the formation of shocks in an elastic circular tube. Quart. Appl. Math., 38, 191–207 (1980). With G.P. MacSithigh.

53. The elastica and the problem of pure bending for a non-convex stored energy function. J. Elasticity, 11, 165–186 (1981). With R.D. James.

54. Steady flow of a simple fluid around a rotating sphere. Rheol. Acta., 19, 675–697 (1980). With B.G. Kao. 55. Catastrophic instabilities and

55. Catastrophic instabilities and related results in a fluid of third grade. Int. J. Non- Linear Mech., 16, 191–198 (1981). With B. Straughan.

56. On the existence of a manifold for temperature. Arch. Ration. Mech. Anal., 81, 317–332 (1983). With K.R. Rajagopal.

57. Helical shear of an elastic, circular tube with a non-convex stored energy. Arch. Ration. Mech. Anal., 84, 31–53 (1983). With G. MacSithigh. Reprinted in The Breadth and Depth of Continuum Mechanics. Ed. by C.M. Dafermos, D.D. Joseph, and F.M. Leslie, Springer-Verlag (1985).

58. Structure and dynamical stability of Gibbsian states. Lecture Notes in Mathematics Proceedings of the Laws and Structures of Continuum Thermomechanics, Minneapolis, MN, June, 1983. New Perspectives in Thermodynamics. Edited by J. Serrin, Springer- Verlag, 1985.

59. Elementary implications of viscometry on the free surface profile for the problems of climbing and channel flow. J. Non-Newtonian Fluid Mech., 15, 127–144 (1984). With J. Castro.

60. In recognition of the sixtieth birthday of J.L. Ericksen. J. Elasticity, 14, 338 (1984).

61. On the creeping motion of a simple fluid past a submerged sphere. In print, Latin American J. Chem. Eng. Appl. Chem. With J. Castro and C. Filipich.

62. Minimization in incompressible nonlinear elasticity theory. J. Elasticity, 16, 267–301 (1986). With G. MacSithigh.

63. A plane non-linear shear for an elastic layer with a non-convex stored energy function. Int. J. Solids Struct., 22, No. 10, 1129–1135 (1986). With K. Rajagopal and G. MacSithigh.

64. The influence of the bending stiffness in the motion of a belt. J. Appl. Mech,53, 266–270 (1986). With P. Villaggio.

65. On the Gibbsian thermostatics of mixtures. Arch. Ration. Mech. Anal.,93, 203– 221 (1986). Reprinted in Analysis and Thermomechanics, ed. by B.D. Coleman, M. Feinberg, and J. Serrin, Springer-Verlag, 1987. With J. Patino.

66. Steady, structured shock waves. Part 1: Thermoelastic materials. Arch. Ration. Mech. Anal., 104, 295–365 (1988). With J.E. Dunn.

67. A dissipation principle and its consequences for structures shock waves in thermoelastic materials. Shock Waves in Condensed Matter, 1987, 215–218, eds. S.C. Schmidt and N.C. Holmes, Elsevier Science Publishers B.V., 1988. With J.E. Dunn.

68. A variational proof of the stress theorem of Cauchy. Arch. Ration. Mech. Anal., 105, 95–103 (1989). With E. G. Virga.

69. Steady, structured shock waves of arbitrary intensity in thermoelastic materials. Elastic Wave Propagation, 1988, 133–140, eds. M.F. McCarthy and M.A. Hayes. Elsevier Science Publishers B.V., 1989. With J.E. Dunn.

70. The Maxwell relation and Eshelby’s conservation law for minimizers in elasticity theory. J. Elasticity, 22, 193–200 (1989). With B. Hertog.

71. Material symmetry and crystals. Arch. Ration. Mech. Anal., 110, 43–72 (1990). With B. Hertog.

72. Minimization in nonlinear elasticity theory for bodies reinforced with inextensible cords. J. Elasticity, 26, 239-289 (1991). With G. MacSithigh.

73. Steady, structured shock waves in a viscoelastic solid of differential type. Int. J. Engrg. Sci., 28, 469–483 (1990). With W.H. Warner and J.H. Yu.

74. Normality and convexity of the yield surface in nonlinear plasticity. Quart. Appl. Math., 21, 117-127 (1993). With E. Volkmann.

75. The torsion problem for a nonconvex stored energy function. Arch. Rational Mech. Anal., 122, 291–322 (1993). With Y. Zhang.

76. The penalty method and the numerical solution of plane problems in nonlinear elastostatics. MSI Report, September 1993. With A. Aguiar.

77. The Weierstrass condition for a special class of elastic materials. J. Elasticity, 34, 167-184 (1994). With J. E. Dunn.

78. Coexistent phase mixtures in the anti-plane shear of an elastic tube. Zeit. Angew. Math. Phys., 45, 202-244 (1994). With Y. Zhang.

79. Stress and the moment-twist relation in the torsion of a cylinder with a nonconvex stored energy function. Zeit. Angew. Math Phys., 46, S146-171 (1995). With Y. Zhang.

80. A structured phase transition for the anti-plane shear of an elastic circular tube. Quart. J. Mech. & Appl. Math., 48, 189-210 (1995). With Y. Zhang.

81. Single phase energy minimizers for materials with nonlocal spatial dependence. Quart. Appl. Math., 24, 161-195 (1996). With D. Mason.

82. The static state of a two-phase solid mixture in a stressed elastic bar. Int. J. Solids & Structures, 33, 2267-2281 (1996). With G. Royer.

83. Thermodynamics, stability and nonlinear oscillations of a viscoelastic solid Part 1: Differential type solids of second grade. Int. J. Nonlinear Mech., 31, 495-516 (1996). With J.-H. Yu.

84. A note on the optimal state of a binary solid mixture in a stressed elastic bar. Meccanica, 31, 519-525 (1996). With G. Royer and H. Weinberger.

85. Numerical solution of singular problems in nonlinear elastostatics. Research Report (1995). With A. Aguiar.

86. Alloy separation of a binary mixture in a stressed elastic sphere. J. Elasticity, 42, 49-77 (1996). With G. Royer.

87. Thermodynamics, stability and nonlinear oscillations of a viscoelastic solid, Part II: History type solids. Int. J. Nonlinear Mech., 33, 165-188 (1997). With J.-H. Yu.

88. Vibration damping through the use of materials with memory. Int. J. Solids & Structures, 35, 403-420 (1998). With Y. Ketema and J.-H. Yu.

89. A nonlinear oscillator with history dependent force. Int. J. Nonlinear Mech., 33, 447-459 (1998). With Y. Ketema and J.-H. Yu.

90. On a model of nonlocal continuum mechanics, Part I: Existence and Regularity. SIAM J. Appl. Math., 58, 1278-1306 (1998). With D. Mason.

91. On a model of nonlocal continuum mechanics, Part II: Structure, Asymptotics and Computations. J. Elasticity, 48, 51-100 (1997). With D. Mason.

92. Dynamics of a viscoelastic spherical shell with a nonconvex strain energy function. Quart. Appl. Math., 26, 221-244 (1998). With Y. Ketema and J. -H. Yu.

93. The state of pure shear. J. Elasticity, 52, 91-98 (1998). With P. Belik.

94. A thermoviscoelastic dynamic vibration absorber. J. Applied Mechanics, 65 (1998). With Y. Ketema.

95. A singular problem in incompressible nonlinear elastostatics. Math. Models and Methods in Appl. Sciences, 10, 1181-1207 (2000). With A. Aguiar.

96. A rheological model for materials which support coexistent shear rates. Int. J. Nonlinear Mech., 35, 1023-1043 (2000). With C. Balan.

97. Shape memory alloys for passive vibration damping. J. Intelligent Material Systems and Structures, 9, 854-870 (1998). With Y. Ketema.

98. Self-intersection in elasticity. Int. J. Solids & Structures, 38, 4797-4823 (2001). With A. Aguiar.

99. The Lagrange multiplier in incompressible elasticity theory. J. Elasticity, 55, 193-200 (1999). With G. Royer.

100. On the rigid motion of a body. Draft available (1999). With J.E. Dunn.

101. The constraint of local injectivity in linear elasticity theory. Proc. Roy. Soc., 457, 2167-2187 (2001). With G. Royer.

102. Multiple natural states for an elastic isotropic material with polyconvex stored energy. J. Elasticity, 60, 223-231 (2000). With G. Royer.

103. Numerical analysis of elastic problems with injectivity constraints. ECCM-2001, European Conference on Computational Mechanics, June 26-29, 2001, Cracow, Poland. With K. Obeidat, H. Stolarski & G. Royer.

104. The Lagrange multipliers and hyperstress constraint reactions in incompressible multipolar elasticity theory. J. Mech. & Phys. Solids, 50, 1627-1647 (2002). With G. Royer.

105. “Response to: Discussion on ‘A. Aguiar and R. Fosdick, Self-intersection in elasticity’ [International Journal of Solids and Structures 38 (28) 4797-4825]”. Int. J. Solids & Structures, 39, 1729 (2002).

106. Rank 1 convexity for a class of incompressible elastic materials. Rational Continua Classical and New, ed. P. Podio-Guidugli & M Brocato, Springer-Verlag Italia, Milano, 2003. With J.E. Dunn & Y. Zhang.

107. Generalized Airy stress functions. Meccanica, 38, 571-578 (2003). With K. Schuler.

108. About Clapeyron’s theorem in linear elasticity. J. Elasticity, 72, 145-172 (2003). With L. Truskinovsky.

109. Stress as a constraint reaction in rigid bodies. J. Elasticity, 74, 265-276 (2004). With G. Royer.

110. A Stokes theorem for second order tensor fields and its implications in continuum mechanics. Int. J. Nonlinear Mech., 40, 381-386 (2005). With G. Royer.

111. A penalty interpretation for the Lagrange multiplier fields in incompressible multipolar elasticity theory. Mathematics and Mechanics of Solids, 10, 389-413 (2005). With G. Royer.

112. Generalized Baker-Ericksen inequalities. J. Elasticity, 85, 39-44 (2006). With M. Silhavy.

113. Chemomechanical equilibrium of bars. J. Elasticity, 84, 167-188 (2006). With G. Royer.

114. Variational characterization of a quasi-rigid body. J. Elasticity, 87, 211-238 (2007). With G. Royer.

115. A note on uniqueness in linear elastostatics. J. Elasticity, 88, 79-86 (2007). With M. Piccioni and G. Puglisi.

116. Electrodynamics and thermomechanics of material bodies. J. Elasticity, 88, 255-297 (2007). With H. Tang.

117. Bifurcation instability in linear elasticity with the constraint of local injectivity. J. Elasticity, 90, 99-126 (2007). With Francesco Freddi & G. Royer.

118. A study of penalty formulations used in the numerical approximation of a radially symmetric elasticity problem. J. Mech. Materials and Structures, 3, 1403-1427 (2008). With A. Aguiar and J. Sanchez.

119. Thermal effects on the vibration damping properties of shape memory alloys. Journal of Intelligent Material Systems and Structures, 20, 1587-1601 (2009). With Y. Ketema.

120. Surface transport in continuum mechanics. Mathematics and Mechanics of Solids, 14, 587-598 (2009). With H. Tang.

121. Shear driven planar Couette and Taylor-like instabilities for a class of compressible isotropic elastic solids. Z. Angew. Math. Phys. ZAMP, 61, 537-554 (2010). DOI 10.1007/s00033-009-0020-4. With P. Foti, A. Fraddosio, S. Marzano.

122. Energy minimization for an elastic fluid. J. Elasticity, 98, 189-203 (2010). With J. Sivaloganathan.

123. A lower bound estimate of the critical load for compressible elastic solids. Continuum Mech. Thermodyn., 22, 77-97 (2010). With P. Foti, A. Fraddosio, M. Piccioni.

124. On the motive power of chemical transformations in open systems. J. Elasticity, 104, 229-248 (2011). With G. Royer.

125. Observations concerning virtual power. Mathematics and Mechanics of Solids, 16, 573-585 (2011).

126. On the principle of virtual power for arbitrary parts of a body. Continuum Mech. Thermodyn., 23, 483-489 (2011); (DOI) 10.1007/s00161-011-0191-z.

127. Reformation instability in elastic solids. J. Elasticity, 107, 131-150 (2012); http://dx.doi.org/10.1007/s10659-011-9348-z. With Luca Granieri & Francesco Maddalena.

128. On a Contribution of James Serrin: Thermodynamic Theory. Accepted for publication. Birkhauser Verlag, 2012.

129. On a Contribution of James Serrin: Thermomechanics and Invariance. Accepted for publication. Birkhauser Verlag, 2012.

130. A causality approach to particle dynamics for systems. Arch. Rational Mech. Anal., 207, 247-302 (2013). (DOI) 10.1007/s00205-012-0567-7.

131. A constitutive model for a linearly elastic peridynamic body. Mathematics and Mechanics of Solids, 19, 502-523 (2014). DOI: 10.1177/1081286512472092. With Adair Aguiar.

132. The splitting of intrinsic energy and the origin of mass density in continuum mechanics. Continuum Mech. Thermodyn., 26, 287-302 (2014); http://dx.doi.org/10.1007/s00161- 013-0301-1. DOI 10.1007/s00161-013-0301-1. With James Serrin.

133. Taylor-like bifurcations for a compressible isotropic elastic tube. Mathematics and Mechanics of Solids. Accepted for publication, June, 2013. With P. Foti, A. Fraddosio, S Marzano and M. Piccioni.

134. A lower bound estimate of the critical load in bifurcation analysis for incompressible elastic solids. Mathematics and Mechanics of Solids. Accepted for publication, February, 2014. With P. Foti, A. Fraddosio, S Marzano and M. Piccioni.

135. On the corner behavior of a nonlinear elastic wedge under mixed boundary conditions. Int. J. Nonlinear Mech. Accepted for publication. May, 2014. With Adair Aguiar.

136. Singular shear-force states in elementary plate theory. J. Elasticity. Accepted for publication. April, 2014. With Gianni Royer-Carfagni.

137. Piero Villaggio: representative of the Italian tradition of honored elasticians. J. Elasticity. Accepted for publication. May, 2014. With Gianni Royer-Carfagni.

Submitted or Drafts Available

138. A causality setting for elasticity theory. Draft available.

Work In Progress

139. A generalized continuum with internal corner and surface contact interactions.

140. Coexistent phases and critical point behavior in thermoelastic solids.

141. Invariant Structure in Continuum Thermomechanics. A Book in progress. With D. Mason. 14

142. On the stability of Oldroyd upper and lower convected models of viscoelastic behavior. 143. On energy in the Saint-Venant flexure of a cylinder. With Giuseppe Ruta. 15

Curriculum Vitae Brief Biographical Sketch

Last Modified: 2014-06-10 at 11:49:06 -- this is in International Standard Date and Time Notation