Constitutive Law in Inelastic Structural Mechanics
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.
KeywordsResidual Stress Constitutive Equation Yield Surface Entropy Production Polynomial Approximation
Unable to display preview. Download preview PDF.
- 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
- 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
- 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
- 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
- 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.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