Roger L. Fosdick

Research AreasBroad spectrum of problems in thermodynamics and continuum mechanics at both the applied and foundation levels Study of nonlinear 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 NewcastleuponTyne, 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 27June 22) 

1994  Visiting Professor  Dipartimento di Ingegneria
Strutturale Universita di Bari Bari, Italy 

Instituto di Scienza delle
Costruzioni Universita di Pisa Pisa, Italy (May 21June15) 

1997  CNR Visiting Professor  Dipartimento di Ingegneria
Strutturale Universita di Bari Bari, Italy 

Instituto di Scienza delle
Costruzioni Universita di Pisa Pisa, Italy (April 14May 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 (JuneJuly) 

2004  Visiting Professor  Dipartimento di Ingegneria Strutturale Universita di Bari Bari, Italy  
Dipartimento di Ingegneria Civile
Universita di Roma ”Tor Vergata” Rome, Italy (MayJune) 

2006  Visiting Professor  Dipartimento di Ingegneria
Strutturale Universita di Bari Bari, Italy (JanuaryJune) 

2008  Visiting Professor  Dipartimento di Ingegneria Civile Ambientale Universita di Bari Bari, Italy (MayJune)  
2010  Visiting Professor  Dipartimento di Ingegneria Civile
Ambientale Universita di Bari Bari, Italy (JuneJuly) 

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 & YiChao 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
 EditorinChief, 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 (2002present)
 Editorial Board, Journal of Differential Equations and Nonlinear Mechanics (2005present)
 Board of Directors, Society of Engineering Science(SES) (20022004)
 Society of Natural Philosophy:
 Chairman (20012004)
 Chairman (19992001)
 Chairman (1979–1981)
 Secretary (1972–1974)
 Elected Service Member (1975–present)
 Technical Sponsor in NonLinear 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 SENERCONACYT 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 QiononesCisneros (1992)
 JangHorng 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)
 JangHorng Yu (1989)
 Eric Volkmann (1990)
 James Speck (2002)
 Bituporn Tontavanich (2014)
PostDoctoral Scholars and Visitors
 Richard James (9/78–9/80)
 YiChao 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 48, 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 Antiplane Shear; Selfinterpenetration 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, 1921, 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, SpringerVerlag, 1993.
2. The Rational Spirit in Modern Continuum Mechanics. Essays and Papers Dedicated to the Memory of Clifford Ambrose Truesdell III. Edited by ChiSing 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 Prefaces1. Eulogium, Clifford Ambrose Truesdell III. J. Elasticity, 55, 167 (1999).
2. Foreword, A Primer in Elasticity by Paolo PodioGuidugli. J. Elasticity, 58, No.1, vii (2000).
3. Editorial, Paolo PodioGuidugli 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.13, 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, 36 (2003). With G. Royer.
7. Foreword, Essays and Papers Dedicated to the Memory of Clifford Ambrose Truesdell III, ed. by ChiSing Man & Roger Fosdick. J. Elasticity, 70, No.13, xi (2003).
8. Eulogium, Clifford Ambrose Truesdell III (b.February 18, 1919; d. January 14, 2000). J. Elasticity, 71, No.13, xi (2003).
9. Foreword, An Introduction to Differential Geometry with Applications to Elasticity by Philippe G. Ciarlet. J. Elasticity, 7879, 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 (19312009). 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 Publications19. 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)
,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. Viscoplastic 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 boundaryvalue problem of static linear elasticity theory. ZAMP, 19, 219–233 (1968)
26. A note on nonuniqueness 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. NonLinear 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 CN 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. NonLinear 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, NorthHolland Math. Studies 30, 143–170 (1978).
48. On the impossibility of linear Cauchy and PiolaKirchoff 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 nonconvex 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 nonconvex 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, SpringerVerlag (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. NonNewtonian 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 nonlinear shear for an elastic layer with a nonconvex 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, SpringerVerlag, 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, 239289 (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, 117127 (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, 167184 (1994). With J. E. Dunn.
78. Coexistent phase mixtures in the antiplane shear of an elastic tube. Zeit. Angew. Math. Phys., 45, 202244 (1994). With Y. Zhang.
79. Stress and the momenttwist relation in the torsion of a cylinder with a nonconvex stored energy function. Zeit. Angew. Math Phys., 46, S146171 (1995). With Y. Zhang.
80. A structured phase transition for the antiplane shear of an elastic circular tube. Quart. J. Mech. & Appl. Math., 48, 189210 (1995). With Y. Zhang.
81. Single phase energy minimizers for materials with nonlocal spatial dependence. Quart. Appl. Math., 24, 161195 (1996). With D. Mason.
82. The static state of a twophase solid mixture in a stressed elastic bar. Int. J. Solids & Structures, 33, 22672281 (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, 495516 (1996). With J.H. Yu.
84. A note on the optimal state of a binary solid mixture in a stressed elastic bar. Meccanica, 31, 519525 (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, 4977 (1996). With G. Royer.
87. Thermodynamics, stability and nonlinear oscillations of a viscoelastic solid, Part II: History type solids. Int. J. Nonlinear Mech., 33, 165188 (1997). With J.H. Yu.
88. Vibration damping through the use of materials with memory. Int. J. Solids & Structures, 35, 403420 (1998). With Y. Ketema and J.H. Yu.
89. A nonlinear oscillator with history dependent force. Int. J. Nonlinear Mech., 33, 447459 (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, 12781306 (1998). With D. Mason.
91. On a model of nonlocal continuum mechanics, Part II: Structure, Asymptotics and Computations. J. Elasticity, 48, 51100 (1997). With D. Mason.
92. Dynamics of a viscoelastic spherical shell with a nonconvex strain energy function. Quart. Appl. Math., 26, 221244 (1998). With Y. Ketema and J. H. Yu.
93. The state of pure shear. J. Elasticity, 52, 9198 (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, 11811207 (2000). With A. Aguiar.
96. A rheological model for materials which support coexistent shear rates. Int. J. Nonlinear Mech., 35, 10231043 (2000). With C. Balan.
97. Shape memory alloys for passive vibration damping. J. Intelligent Material Systems and Structures, 9, 854870 (1998). With Y. Ketema.
98. Selfintersection in elasticity. Int. J. Solids & Structures, 38, 47974823 (2001). With A. Aguiar.
99. The Lagrange multiplier in incompressible elasticity theory. J. Elasticity, 55, 193200 (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, 21672187 (2001). With G. Royer.
102. Multiple natural states for an elastic isotropic material with polyconvex stored energy. J. Elasticity, 60, 223231 (2000). With G. Royer.
103. Numerical analysis of elastic problems with injectivity constraints. ECCM2001, European Conference on Computational Mechanics, June 2629, 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, 16271647 (2002). With G. Royer.
105. “Response to: Discussion on ‘A. Aguiar and R. Fosdick, Selfintersection in elasticity’ [International Journal of Solids and Structures 38 (28) 47974825]”. 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. PodioGuidugli & M Brocato, SpringerVerlag Italia, Milano, 2003. With J.E. Dunn & Y. Zhang.
107. Generalized Airy stress functions. Meccanica, 38, 571578 (2003). With K. Schuler.
108. About Clapeyron’s theorem in linear elasticity. J. Elasticity, 72, 145172 (2003). With L. Truskinovsky.
109. Stress as a constraint reaction in rigid bodies. J. Elasticity, 74, 265276 (2004). With G. Royer.
110. A Stokes theorem for second order tensor fields and its implications in continuum mechanics. Int. J. Nonlinear Mech., 40, 381386 (2005). With G. Royer.
111. A penalty interpretation for the Lagrange multiplier fields in incompressible multipolar elasticity theory. Mathematics and Mechanics of Solids, 10, 389413 (2005). With G. Royer.
112. Generalized BakerEricksen inequalities. J. Elasticity, 85, 3944 (2006). With M. Silhavy.
113. Chemomechanical equilibrium of bars. J. Elasticity, 84, 167188 (2006). With G. Royer.
114. Variational characterization of a quasirigid body. J. Elasticity, 87, 211238 (2007). With G. Royer.
115. A note on uniqueness in linear elastostatics. J. Elasticity, 88, 7986 (2007). With M. Piccioni and G. Puglisi.
116. Electrodynamics and thermomechanics of material bodies. J. Elasticity, 88, 255297 (2007). With H. Tang.
117. Bifurcation instability in linear elasticity with the constraint of local injectivity. J. Elasticity, 90, 99126 (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, 14031427 (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, 15871601 (2009). With Y. Ketema.
120. Surface transport in continuum mechanics. Mathematics and Mechanics of Solids, 14, 587598 (2009). With H. Tang.
121. Shear driven planar Couette and Taylorlike instabilities for a class of compressible isotropic elastic solids. Z. Angew. Math. Phys. ZAMP, 61, 537554 (2010). DOI 10.1007/s0003300900204. With P. Foti, A. Fraddosio, S. Marzano.
122. Energy minimization for an elastic fluid. J. Elasticity, 98, 189203 (2010). With J. Sivaloganathan.
123. A lower bound estimate of the critical load for compressible elastic solids. Continuum Mech. Thermodyn., 22, 7797 (2010). With P. Foti, A. Fraddosio, M. Piccioni.
124. On the motive power of chemical transformations in open systems. J. Elasticity, 104, 229248 (2011). With G. Royer.
125. Observations concerning virtual power. Mathematics and Mechanics of Solids, 16, 573585 (2011).
126. On the principle of virtual power for arbitrary parts of a body. Continuum Mech. Thermodyn., 23, 483489 (2011); (DOI) 10.1007/s001610110191z.
127. Reformation instability in elastic solids. J. Elasticity, 107, 131150 (2012); http://dx.doi.org/10.1007/s106590119348z. 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, 247302 (2013). (DOI) 10.1007/s0020501205677.
131. A constitutive model for a linearly elastic peridynamic body. Mathematics and Mechanics of Solids, 19, 502523 (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, 287302 (2014); http://dx.doi.org/10.1007/s00161 01303011. DOI 10.1007/s0016101303011. With James Serrin.
133. Taylorlike 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 shearforce states in elementary plate theory. J. Elasticity. Accepted for publication. April, 2014. With Gianni RoyerCarfagni.
137. Piero Villaggio: representative of the Italian tradition of honored elasticians. J. Elasticity. Accepted for publication. May, 2014. With Gianni RoyerCarfagni.
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 SaintVenant flexure of a cylinder. With Giuseppe Ruta. 15
Curriculum Vitae  Brief Biographical Sketch 
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