Constitutive Law in Inelastic Structural Mechanics

  • J. F. Besseling
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 281)


The highly nonlinear field equations of the continuum theory for the inelastic behaviour of solids cannot serve as a basis for analysis in structural mechanics. The complex geometry of a structure entails a multitude of boundary value problems that even in the linearized elastic case necessitates an approximate representation by finite dimensional vectorspaces, amenable to analysis by means of computer algorithms.


Residual Stress Constitutive Equation Yield Surface Entropy Production Polynomial Approximation 
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  1. 1.
    Truesdell, C. and R. Toupin, The classical field theories, p. 596, Encyclopedia of Physics, Vol. III/1, Springer Verlag, Berlin, Göttingen, Heidelberg (1960).Google Scholar
  2. 2.
    Biot, M.A., Variational lagrangian-thermodynamics of nonisothermal finite strain mechanics of porous solids and thermomolecular diffusion, Int. J. Solids of Structures, 13 (1977) 579–597.MathSciNetCrossRefMATHGoogle Scholar
  3. 3.
    Besseling, J.F., A thermodynamic approach to rheology, Proc. IUTAMSymp. on irreversible aspects of continuum mechanics, Springer Verlag, Wien (1968) pp. 16–53.Google Scholar
  4. 4.
    Eckart, C., The thermodynamics of irreversible processes IV: The theory of elasticity and anelasticity, Phys. Rev. (2), 73, (1948) pp. 373–382.MathSciNetCrossRefMATHGoogle Scholar
  5. 5.
    Heijden, A.M.A. van der and J.F. Besseling, A large strain plasticity theory and the symmetry properties of its constitutive equations, to be published in Computers and Structures.Google Scholar
  6. 6.
    Besseling, J.F., A theory of elastic, plastic and creep deformations of an initially isotropic material. J. Appl. Mech. 25 (1958) 529–536.MATHGoogle Scholar
  7. 7.
    Meijers, P. Experimental verification of constitutive equations for creep and plasticity based on overlay models. Lab. Eng. Mech., Delft (1981), Rep. nr. 704, 14 pages.Google Scholar
  8. 8.
    Koiter, W.T., The energy criterion of stability for continuous elastic bodies, I, II, Proc. Kon. Ned. Ak. Wet., Series B, 68 (1965) pp. 178–202.MathSciNetMATHGoogle Scholar
  9. 9.
    Besseling, Plasticity and creep theory in engineering mechanics, Topics in continuum mechanics, Ed. by Zeman and Ziegler, Springer Verlag, Wien (1974), pp. 115–136.Google Scholar
  10. 10.
    Koiter, W.T., General theorems for elastic-plastic solids, Progress in Solid Mechanics, Vol. I. North-Holland Publ. Co., Amsterdam (1960) pp. 167–218.Google Scholar
  11. 11.
    Besseling, J.F., The force method and its application in plasticity problems, Computers and Structures, 8 (1978) pp. 323–330.CrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag Wien 1984

Authors and Affiliations

  • J. F. Besseling
    • 1
  1. 1.Laboratory for Engineering Mechanics of the Mechanical Engineering DepartmentUniversity of Technology DelftThe Netherlands

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