Roger Fosdick

Articles in Scholarly Journals [Incomplete List]

  1. Preface
    Journal of Elasticity, vol. 80, no. 1-3, pp. 1–1, 2006
  2. Chemomechanical Equilibrium of Bars
    Journal of Elasticity, vol. 84, no. 2, pp. 167–188, 2006
  3. On the Past and Future of Natural Philosophy
    Journal of Elasticity, vol. 84, no. 1, pp. 1–11, 2006
  4. Generalized Baker–Ericksen Inequalities
    Journal of Elasticity, vol. 85, no. 1, pp. 39–44, 2006
  5. An Introduction to Differential Geometry with Applications to Elasticity
    Journal of Elasticity, vol. 78-79, no. 1-3, pp. 1–215, 2005
  6. A Stokes theorem for second-order tensor fields and its implications in continuum mechanics
    International Journal of Non-Linear Mechanics, vol. 40, no. 2-3, pp. 381–386, 2005
  7. A Penalty Interpretation for the Lagrange Multiplier Fields in Incompressible Multipolar Elasticity Theory
    Mathematics and Mechanics of Solids, vol. 10, no. 4, pp. 389–413, 2005
  8. In Recognition of the Sixtieth Birthday of Cornelius O. Horgan
    Journal of Elasticity, vol. 74, no. 1, pp. 1–3, 2004
  9. Stress as a Constraint Reaction in Rigid Bodies
    Journal of Elasticity, vol. 74, no. 3, pp. 265–276, 2004
  10. About Clapeyron's Theorem in Linear Elasticity
    Journal of Elasticity, vol. 72, no. 1-3, pp. 145–172, 2003
  11. Meccanica, vol. 38, no. 5, pp. 571–578, 2003
  12. Journal of Elasticity, vol. 68, no. 1/3, pp. 3–6, 2002
  13. The Lagrange multipliers and hyperstress constraint reactions in incompressible multipolar elasticity theory
    Journal of the Mechanics and Physics of Solids, vol. 50, no. 8, pp. 1627–1647, 2002
  14. Self-intersection in elasticity
    International Journal of Solids and Structures, vol. 38, no. 28-29, pp. 4797–4823, 2001
  15. The constraint of local injectivity in linear elasticity theory
    Proceedings: Mathematical, Physical and Engineering Sciences, vol. 457, no. 2013, pp. 2167–2187, 2001
  16. Mathematical Models and Methods in Applied Sciences, vol. 10, no. 8, p. 1181, 2000
  17. Journal of Elasticity, vol. 59, no. 1/3, pp. 5–8, 2000
  18. A rheological model for materials which support coexistent shear rates
    International Journal of Non-Linear Mechanics, vol. 35, no. 6, pp. 1023–1043, 2000
  19. Journal of Elasticity, vol. 60, no. 3, pp. 223–231, 2000
  20. Journal of Elasticity, vol. 59, no. 1/3, pp. 3–4, 2000
  21. Journal of Elasticity, vol. 55, no. 3, pp. 167–167, 1999
  22. Journal of Elasticity, vol. 55, no. 3, pp. 193–200, 1999
  23. On a Model of Nonlocal Continuum Mechanics Part I: Existence and Regularity
    SIAM Journal on Applied Mathematics, vol. 58, no. 4, p. 1278, 1998
  24. Journal of Elasticity, vol. 52, no. 1, pp. 91–98, 1998
  25. Vibration damping through the use of materials with memory
    International Journal of Solids and Structures, vol. 35, no. 5-6, pp. 403–420, 1998
  26. Thermodynamics, stability and non-linear oscillations of viscoelastic solids—II. History type solids
    International Journal of Non-Linear Mechanics, vol. 33, no. 1, pp. 165–188, 1998
  27. A non-linear oscillator with history dependent force
    International Journal of Non-Linear Mechanics, vol. 33, no. 3, pp. 447–459, 1998
  28. Journal of Elasticity, vol. 48, no. 1, pp. 51–100, 1997
  29. The static state of a two-phase solid mixture in a stressed elastic bar
    International Journal of Solids and Structures, vol. 33, no. 16, pp. 2267–2281, 1996
  30. Thermodynamics, stability and non-linear oscillations of viscoelastic solids — I. Differential type solids of second grade
    International Journal of Non-Linear Mechanics, vol. 31, no. 4, pp. 495–516, 1996
  31. A note on the optimal state of a binary solid mixture in a stressed elastic bar
    Meccanica, vol. 31, no. 5, pp. 519–525, 1996
  32. Coexistent phase mixtures in the anti-plane shear of an elastic tube
    ZAMP Zeitschrift f�r angewandte Mathematik und Physik, vol. 45, no. 2, pp. 202–244, 1994
  33. The torsion problem for a nonconvex stored energy function
    Archive for Rational Mechanics and Analysis, vol. 122, no. 4, pp. 291–322, 1993
  34. Minimization in nonlinear elasticity theory for bodies reinforced with inextensible cords
    Journal of Elasticity, vol. 26, no. 3, pp. 239–289, 1991
  35. Material symmetry and crystals
    Archive for Rational Mechanics and Analysis, vol. 110, no. 1, pp. 43–72, 1990
  36. Steady, structured shock waves in a viscoelastic solid of differential type
    International Journal of Engineering Science, vol. 28, no. 6, pp. 469–483, 1990
  37. A variational proof of the stress theorem of Cauchy
    Archive for Rational Mechanics and Analysis, vol. 105, no. 2, 1989
  38. Steady, structured shock waves. Part 1: Thermoelastic materials
    Archive for Rational Mechanics and Analysis, vol. 104, no. 4, pp. 295–365, 1988
  39. Minimization in incompressible nonlinear elasticity theory
    Journal of Elasticity, vol. 16, no. 3, pp. 267–301, 1986
  40. A plane nonlinear shear for an elastic layer with a nonconvex stored energy function
    International Journal of Solids and Structures, vol. 22, no. 10, pp. 1129–1135, 1986
  41. On the Gibbsian thermostatics of mixtures
    Archive for Rational Mechanics and Analysis, vol. 93, no. 3, pp. 203–221, 1986
  42. In recognition of the sixtieth birthday of J.L. Ericksen
    Journal of Elasticity, vol. 14, no. 4, pp. 337–341, 1984
  43. Errata in our paper
    Archive for Rational Mechanics and Analysis, vol. 86, no. 4, pp. 395–395, 1984
  44. On the existence of a manifold for temperature
    Archive for Rational Mechanics and Analysis, vol. 81, no. 4, 1983
  45. Helical shear of an elastic, circular tube with a non-convex stored energy
    Archive for Rational Mechanics and Analysis, vol. 84, no. 1, 1983
  46. The morphology and stability of material phases
    Archive for Rational Mechanics and Analysis, vol. 74, no. 1, 1980
  47. Steady flow of a simple fluid around a rotating sphere
    Rheologica Acta, vol. 19, no. 6, pp. 675–697, 1980
  48. Thermodynamics and Stability of Fluids of Third Grade
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences (1934-1990), vol. 369, no. 1738, pp. 351–377, 1980
  49. Anomalous features in the model of ?second order fluids?
    Archive for Rational Mechanics and Analysis, vol. 70, no. 2, 1979
  50. On the impossibility of linear Cauchy and Piola-Kirchhoff constitutive theories for stress in solids
    Journal of Elasticity, vol. 9, no. 1, pp. 83–89, 1979
  51. Transverse deformations associated with rectilinear shear in elastic solids
    Journal of Elasticity, vol. 8, no. 2, pp. 117–142, 1978
  52. Lemmas in thermodynamic stability: A priori constitutive inequalities and induced global bounds on thermodynamic states
    Archive for Rational Mechanics and Analysis, vol. 67, no. 2, 1978
  53. Global properties of continuum thermodynamic processes
    Archive for Rational Mechanics and Analysis, vol. 59, no. 2, 1975
  54. Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
    Archive for Rational Mechanics and Analysis, vol. 56, no. 3, pp. 191–252, 1974
  55. The free surface on a liquid between cylinders rotating at different speeds part I
    Archive for Rational Mechanics and Analysis, vol. 49, no. 5, 1973
  56. The free surface on a liquid between cylinders rotating at different speeds part II
    Archive for Rational Mechanics and Analysis, vol. 49, no. 5, 1973
  57. Rectilinear Steady Flow of Simple Fluids
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences (1934-1990), vol. 332, no. 1590, pp. 311–333, 1973
  58. Statically possible radially symmetric deformations in isotropic, incompressible elastic solids
    Zeitschrift für angewandte Mathematik und Physik ZAMP, vol. 22, no. 3, pp. 590–607, 1971
  59. On four theological relations
    Rheologica Acta, vol. 9, no. 2, pp. 186–193, 1970
  60. On four rheological relations
    Rheologica Acta, vol. 9, no. 3, pp. 466–466, 1970
  61. A note on the C-N inequality
    Zeitschrift für angewandte Mathematik und Physik ZAMP, vol. 21, no. 6, pp. 1083–1084, 1970
  62. SIAM Journal on Applied Mathematics, vol. 19, no. 1, Article ID 0119023, 1970
  63. Nonuniqueness of second-order fluids under steady radial flow in annuli
    International Journal of Engineering Science, vol. 7, no. 6, pp. 555–569, 1969
  64. On the displacement boundary-value problem of static linear elasticity theory
    Zeitschrift für angewandte Mathematik und Physik ZAMP, vol. 19, no. 2, pp. 219–233, 1968
  65. A note on non-uniqueness in linear elasticity theory
    Zeitschrift für angewandte Mathematik und Physik ZAMP, vol. 19, no. 6, pp. 906–912, 1968
  66. On general measures of deformation
    Acta Mechanica, vol. 6, no. 4, pp. 275–295, 1968
  67. Extremum principles in heat conduction for rigid heat conductors
    Acta Mechanica, vol. 4, no. 3, pp. 241–272, 1967
  68. Small bending of a circular bar superposed on finite extension or compression
    Archive for Rational Mechanics and Analysis, vol. 12, no. 1, pp. 223–248, 1963