Aerospace and Mechanical Engineering
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Roger Fosdick
Professor

Publications

  • R.L.Fosdick, P.Foti, A.Fraddosio, S.Marzano, M.Piccioni, 2014, A lower bound estimate of the critical load in bifurcation analysis for incompressible elastic solids, Mathematics and Mechanics of Solids, (Journal Article) More Details
  • R.L.Fosdick, A.Aguiar, 2014, On the corner behavior of a nonlinear elastic wedge under mixed boundard conditions, Int. J. Nonlinear Mech, (Journal Article) More Details
  • R.L.Fosdick, G.Royer-Carfagni, 2014, Singular shear-force states in elementary plate theory, J. Elasticity, (Journal Article) More Details
  • R.L.Fosdick, G.Royer-Carfagni, 2014, Piero Villaggio: representative of the Italian tradition of honored elasticians, J. Elasticity, (Journal Article) More Details
  • R.L.Fosdick, P.Foti, A.Fraddosio, S.Marzano, M.Piccioni, 2013, Taylor-like bifurcations for a compressible isotropic elastic tube. , Mathematics and Mechanics of Solids, (Journal Article) More Details
  • R.L.Fosdick, 2012, On a Contribution of James Serrin: Thermodynamic Theory, Birkhauser Verlag, (Journal Article) More Details
  • R.L.Fosdick, 2012, On a Contribution of James Serrin: Thermomechanics and Invariance, Birkhauser Verlag, (Journal Article) More Details
  • R. L. Fosdick and G. Royer, 2011, On the motive power of chemical transformations in open systems, J. Elasticity, 104, 229-248, (Journal Article) More Details
  • R. L. Fosdick, 2011, Observations concerning virtual power, Mathematics and Mechanics of Solids, 16, 573-585, (Journal Article) More Details
  • R. L. Fosdick, 2011, On the principle of virtual power for arbitrary parts of a body, Continuum Mech. Thermodyn., (DOI) 10.1007/s00161-011-0191-z, (Journal Article) More Details
  • Roger Fosdick, Luca Granieri and Francesco Maddalena, 2011, Reformation instability in elastic solids, J. Elasticity, (Journal Article) More Details
  • R. L. Fosdick, P. Foti, A. Fraddosio and S. Marzano, 2010, Shear driven planar Couette and Taylor-like instabilities for a class of compressible isotropic elastic solids, Z. Angew. Math. Phys. ZAMP, 61, 537-554, (Journal Article) More Details
  • R. L. Fosdick and J. Sivaloganathan, 2010, Energy minimization for an elastic fluid, J. Elasticity, 98, 189-203, (Journal Article) More Details
  • R. L. Fosdick, P. Foti, A. Fraddosio and M. Piccioni, 2010, A lower bound estimate of the critical load for compressible elastic solids, Continuum Mech. Thermodyn., 22, 77-97, (Journal Article) More Details
  • R. L. Fosdick and H. Tang, 2009, Surface transport in continuum mechanics, Mathematics and Mechanics of Solids, 14, 587-598, (Journal Article) More Details
  • Y. Ketema, and R.L Fosdick, 2009, Thermal Effects on the Vibration Damping Properties of Shape Memory Alloys, Journal of Intelligent Material Systems and Structures, 20, 13, 1587-1601, (Journal Article) More Details
  • R. L. Fosdick, A. Aguiar and J. Sanchez., 2008, A study of penalty formulations used in the numerical approximation of a radially symmetric elasticity problem, J. Mech. Materials and Structures, 3, 1403-1427, (Journal Article) More Details
  • R. L. Fosdick and G. Royer, 2007, Variational characterization of a quasi-rigid body, J. Elasticity, 87, 211-238, (Journal Article) More Details
  • R. L. Fosdick, M. Piccioni and G. Puglisi, 2007, A note on uniqueness in linear elastostatics, J. Elasticity, 88, 79-86, (Journal Article) More Details
  • R. L. Fosdick and H. Tang, 2007, Electrodynamics and thermomechanics of material bodies, J. Elasticity, 88, 255-297, (Journal Article) More Details
  • R. L. Fosdick, Francesco Freddi and G. Royer, 2007, Bifurcation instability in linear elasticity with the constraint of local injectivity, J. Elasticity, 90, 99-126, (Journal Article) More Details
  • R.L. Fosdick and M. Silhavy, 2006, Generalized Baker-Ericksen inequalities, J. Elasticity, 85, 39-44, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and G. Royer, 2006, Chemomechanical equilibrium of bars, J. Elasticity, 84, 167-188, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and G. Royer, 2005, A Stokes theorem for second order tensor fields and its implications in continuum mechanics, Int. J. Nonlinear Mech., 40, 381-386, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and G. Royer, 2005, A penalty interpretation for the Lagrange multiplier fields in incompressible multipolar elasticity theory, Mathematics and Mechanics of Solids, 10, 389-413, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and G. Royer, 2004, Stress as a constraint reaction in rigid bodies, J. Elasticity, 74, 265-276, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and J.E. Dunn & Y. Zhang, 2003, Rank 1 convexity for a class of incompressible elastic materials, Rational Continua Classical and New, ed. P. Podio-Guidugli & M Brocato, Springer-Verlag, (Journal Article) More Details
  • R.L. Fosdick and K. Schuler, 2003, Generalized Airy stress functions, Meccanica, 38, 571-578, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and L. Truskinovsky, 2003, About Clapeyron's theorem in linear elasticity, J. Elasticity, 72, 145-172, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and G. Royer, 2002, The Lagrange multipliers and hyperstress constraint reactions in incompressible multipolar elasticity theory, J. Mech. & Phys. Solids, 50, 1627-1647, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and A. Aguiar, 2001, Self-intersection in elasticity, Int. J.Solids & Structures, 38, 4797-4823, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and G. Royer, 2001, The constraint of local injectivity in linear elasticity theory, Proc. Roy. Soc., 457, 2167-2187, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and A. Aguiar, 2000, A singular problem in incompressible nonlinear elastostatics, Math. Models and Methods in Appl. Sciences, 10, 1181-1207, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and C. Balan, 2000, A rheological model for materials which support coexistent shear rates, Int. J. Nonlinear Mech., 35, 1023-1043, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and G. Royer, 2000, Multiple natural states for an elastic isotropic material polyconvex stored energy, J. Elasticity, 60, 223-231, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and G. Royer, 1999, The Lagrange multiplier in incompressible elasticity theory, J. Elasticity, 55, 193-200, (Journal Article) More Details, Request PDF
  • Ketema, Y., R. L. Fosdick and J. H. Yu, 1998, Dynamics of a viscoelastic spherical shell with a non-convex strain energy function, Quarterly of Applied Mathematics, LVI(2), 221-244, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and D. Mason, 1998, On a model of nonlocal continuum mechanics, Part I: Existence and Regularity, J. Appl. Math., 58, 1278-1306, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and P. Belik, 1998, The state of pure shear, J. Elasticity, 52, 91-98, (Journal Article) More Details, Request PDF
  • Y. Ketema, and R.L Fosdick, 1998, Shape memory alloys in vibration damping, Journal of Intelligent Material Systems and Structures, 9(10), 854-870, (Journal Article) More Details
  • R.L. Fosdick and J.-H. Yu, 1997, Thermodynamics, stability and nonlinear oscillations of a viscoelastic solid, Part II: History type solids, Int. J. Nonlinear Mech., 33, 165-188, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and D. Mason, 1997, On a model of nonlocal continuum mechanics, Part II: Structure, Asymptotics and Computations, J. Elasticity, 48, 51-100, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and D. Mason, 1996, Single phase energy minimizers for materials nonlocal spatial dependence, Quart. Appl. Math., 24, 161-195, (Journal Article) More Details
  • R.L. Fosdick and G. Royer, 1996, The static state of a two-phase solid mixture in a stressed elastic bar, Int. J. Solids & Structures, 33, 2267-2281, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and J.-H. Yu, 1996, Thermodynamics, stability and nonlinear oscillations of a viscoelastic solid Part 1:Differential type solids of second grade, Int. J. Nonlinear Mech., 31, 495-516, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and G. Royer and H. Weinberger, 1996, A note on the optimal state of a binary solid mixture in a stressed elastic bar, Meccanica, 31, 519-525, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and G. Royer, 1996, Alloy separation of a binary mixture in a stressed elastic sphere, J. Elasticity, 42,49-77, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and Y. Zhang, 1995, Stress and the moment-twist relation in the torsion of a cylinder a nonconvex stored energy function, Zeit. Angew. Math Phys, 46, S146-171, (Journal Article) More Details
  • R.L. Fosdick and Y. Zhang, 1995, A structured phase transition for the anti-plane shear of an elastic circular tube, J. Mech. & Appl. Math., 48, 189-210, (Journal Article) More Details
  • R.L. Fosdick and J.E. Dunn, 1994, The Weierstrass condition for a special class of elastic materials, J. Elasticity, 34, 167-184, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and Y. Zhang, 1994, Coexistent phase mixtures in the anti-plane shear of an elastic tube, Zeit. Angew. Math. Phys., 45, 202-244, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and E. Volkmann, 1993, Normality and convexity of the yield surface in nonlinear plasticity, Quart. Appl. Math., 21, 117-127, (Journal Article) More Details
  • R.L. Fosdick and Y. Zhang, 1993, The torsion problem for a nonconvex stored energy function, Arch. Rational Mech. Anal., 122, 291-322, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and A. Aguiar, 1993, The penalty method and the numerical solution of plane problems in nonlinear elastostatics, MSI Report, (Journal Article) More Details
  • R.L. Fosdick and G. MacSithigh, 1991, Minimization in nonlinear elasticity theory for bodies reinforced inextensible cords, J. Elasticity, 26, 239-289, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and B. Hertog, 1990, Material symmetry and crystals, Arch. Ration. Mech. Anal, 110, 43-72, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and W.H. Warner and J.H. Yu, 1990, Steady, structured shock waves in a viscoelastic solid of differential type, Int. J. Engrg. Sci., 28, 469-483, (Journal Article) More Details
  • R.L. Fosdick and E. G. Virga, 1989, A variational proof of the stress theorem of Cauchy, Arch. Ration. Mech. Anal, 105, 95-103, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and B. Hertog, 1989, The Maxwell relation and Eshelby's conservation law for minimizers in elasticity theory, J. Elasticity, 22, 193-200, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and J.E. Dunn, 1988, Steady, structured shock waves. Part 1: Thermoelastic materials, Arch. Ration. Mech. Anal, 104, 295-365, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and J.E. Dunn, 1988, Steady, structured shock waves of arbitrary intensity in thermoelastic materials, Elastic Wave Propagation, 133-140, (Journal Article) More Details
  • R.L. Fosdick and G. MacSithigh, 1986, Minimization in incompressible nonlinear elasticity theory, J. Elasticity, 16, 267-301, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and K. Rajagopal and G. MacSithigh, 1986, A plane non-linear shear for an elastic layer a non-convex stored energy function, Int. J.Solids Struct., 22, No. 10, 1129-1135, (Journal Article) More Details
  • R.L. Fosdick and P. Villaggio, 1986, The influence of the bending stiffness in the motion of a belt, J.Appl. Mech, 53, 266-270, (Journal Article) More Details
  • R.L. Fosdick and J.Patino, 1986, On the Gibbsian thermostatics of mixtures, Arch. Ration. Mech. Anal, 93, 203-221, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and J.Castro, 1984, Elementary implications of viscometry on the free surface proŻle for the problems of climbing and channel flow, J. Non-Newtonian Fluid Mech., 15, 127-144, (Journal Article) More Details, Request PDF
  • R.L Fosdick, 1984, In recognition of the sixtieth birthday of J.L. Ericksen, J. Elasticity, 14, 338, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and K.R. Rajagopal, 1983, On the existence of a manifold for temperature, Arch. Ration. Mech. Anal, 81, 317-332, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and G. MacSithigh, 1983, Helical shear of an elastic, circular tube a non-convex stored energy, Arch. Ration. Mech. Anal, 84, 31-53, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and B. Straughan, 1981, Catastrophic instabilities and related results in a fluid of third grade, Int. J. Non- Linear Mech., 16, 191-198, (Journal Article) More Details, Request PDF
  • R.D. James, R.L. Fosdick, 1981, The elastica and the problem of pure pending for a non-convex stored energy function, with R.L. Fosdick, Journal of Elasticity, 11, pp. 165-186., (Journal Article) More Details, Request PDF
  • R.L. Fosdick and J.E. Dunn, 1980, The morphology and stability of material phases, Arch. Ration. Mech. Anal, 74, 1-99, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and K.R. Rajagopal, 1980, Thermodynamics and stability of fluids of third grade, Proc. Roy. Soc. London, A 339, 351-377, (Journal Article) More Details
  • R.L. Fosdick G.P. MacSithigh, 1980, Shearing motions and the formation of shocks in an elastic circular tube, Quart. Appl. Math., 38, 191-207, (Journal Article) More Details
  • R.L. Fosdick B.G. Kao, 1980, Steady flow of a simple fluid around a rotating sphere, Rheol Acta., 19, 675-697, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and J. Serrin, 1979, On the impossibility of linear Cauchy and Piola-Kirchoff constitutive theories for stress in solids, J. Elasticity, 9, 83-89, (Journal Article) More Details, Request PDF
  • R.L. Fosdick K.R. Rajagopal, 1979, Anomalous features in the model of second order fluids, Arch. Ration. Mech. Anal., 70, 145-152, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and B. Kao, 1978, Transverse deformations associated rectilinear shear in elastic solids, J. Elasticity, 8, 117-142, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and K. Rajagopal, 1978, Uniqueness and drag for fluids of second grade in steady motion, Int. J. Non-Linear Mech., 13, 131-137, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and J.E. Dunn, 1978, Lemmas in thermodynamic stability: A priori inequalities and induced global bounds on thermodynamic states, Arch. Ration. Mech. Anal, 67, 183-224, (Journal Article) More Details, Request PDF
  • R.L Fosdick, 1978, On an inequality in thermodynamic stability, Contemporary Developments in Continuum Mechanics and Partial Differential Equations, eds. G. De LaPenha and L. Medeiros, North-Holland, (Journal Article) More Details
  • R.L. Fosdick and C. Truesdell, 1977, Universal flows in the simplest theories of fluids, Annali Della Schola Normale Superiore Di Pisa,, IV 2, 323-341, (Journal Article) More Details
  • R.L. Fosdick and J. Serrin, 1975, Global properties of continuum thermodynamic processes, Arch. Ration. Mech. Anal, 59, 97-109, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and J.Dunn, 1974, Thermodynamics, stability and boundedness of fluids of complexity 2 and fluids of second grade, Arch. Ration. Mech. Anal, 56, 191-252, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and J. Serrin, 1973, Rectilinear steady flow of simple fluids, Proc. Roy. Soc. London, A332, 311-333, (Journal Article) More Details
  • R.L. Fosdick and D.D. Joseph, 1973, The free surface on a liquid between cylinders rotating at different speeds, Part I, Arch. Ration. Mech. Anal, 49, 321-380, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and G.S. Beavers and D.D. Joseph, 1973, The free surface on a liquid between cylinders rotating at different speeds, Part II, Arch. Ration. Mech. Anal, 49, 381-401, (Journal Article) More Details, Request PDF
  • D.D. Joseph, R.L. Fosdick, 1973, The free surface on a liquid between cylinders rotating at different speeds; Part I, ARMA, 49(5), 321-380, (Journal Article) More Details, Request PDF
  • R.L Fosdick, 1971, Elastic stability and the zero moment condition, J. Elasticity, 1, 19-28, (Journal Article) More Details, Request PDF
  • R.L Fosdick, 1971, Statically possible radially symmetric deformations in isotropic incompressible elastic solids, ZAMP, 22, 590-607, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and 1970B. Bernstein, 1970, On four rheological relations, Rheol. Acta., 4, 186-193, (Journal Article) More Details, Request PDF
  • R.L Fosdick, 1970, On the complete representation of biharmonic functions, SIAM J. Appl. Math, 19, 243-250, (Journal Article) More Details
  • R.L Fosdick, 1970, A note on the C-N inequality, ZAMP, 21, 1083-1084, (Journal Article) More Details, Request PDF
  • R.L Fosdick, 1969, A class of dynamically possible steady motions of incompressible, isotropic simple materials, Int. J. Non-Linear Mech, 4, 79-73, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and K.W. Schuler, 1969, On Ericksen's problem for plane deformations uniform transverse stretch, Int. J.Engrg. Sci., 7, 217-233, (Journal Article) More Details
  • R.L. Fosdick and B. Bernstein, 1969, Non uniqueness of second order fluids under steady radial flow in annuli, Int. J.Engrg. Sci., 7, 555-569, (Journal Article) More Details
  • R.L Fosdick, 1968, On the displacement boundary-value problem of static linear elasticity theory, ZAMP, 19, 219-233, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and W.S. Edelstein, 1968, A note on non-uniqueness in linear elasticity theory, ZAMP, 19, 906-912, (Journal Article) More Details, Request PDF
  • R.L Fosdick, 1968, Dynamically possible motions of incompressible, isotropic, simple materials, Arch. Ration. Mech. Anal, 29, 272-288, (Journal Article) More Details, Request PDF
  • R.L. Fosdick and A.S. Wineman, 1968, On general measures of deformation, Acta Mechanica, 6, 275-295, (Journal Article) More Details, Request PDF
  • R.L Fosdick, 1967, Extremum principles in heat conduction for rigid heat conductors, Acta Mechanica, 4, 241-272, (Journal Article) More Details, Request PDF
  • R.L Fosdick, 1966, Remarks on Compatibility, Modern Developments in the Mechanics of Continua, 109-127, Academic Press, (Journal Article) More Details
  • R.L Fosdick, 1965, On the vector potential and the representation of a polyharmonic function in n-dimensions, J.Math. Mech, 4, 573-588, (Journal Article) More Details
  • R.L. Fosdick and R.T. Shield, 1963, Extremum principles in the theory of small elastic deformations superposed on large elastic deformations, Progress in Applied Mechanics, The Prager Anniversary Volume, MacMillan Co., (Journal Article) More Details
  • R.L. Fosdick and R.T. Shield, 1963, Small bending of a circular bar superposed on finite extension or compression, Arch. Ration. Mech. Anal., 12, 223-248, (Journal Article) More Details, Request PDF

Last Modified: 2008-09-19 at 14:55:58 -- this is in International Standard Date and Time Notation