×

zbMATH — the first resource for mathematics

A constitutive equation for nonlinear solids which undergo deformation induced microstructural changes. (English) Zbl 0765.73005
We consider the possibility that, as the material is deformed, an additional micromechanism might come into play and have a role in determining the Cauchy stress. We show that “inelastic” behavior of some materials can be explained within the context of such a theory. To illustrate our ideas, we use the ideas of scission and reforming of networks within the context of polymeric materials. The theory is of course much more general and can be used to describe the mechanics of materials in which microstructural changes are induced due to deformations.

MSC:
74A20 Theory of constitutive functions in solid mechanics
74B20 Nonlinear elasticity
74A60 Micromechanical theories
74M25 Micromechanics of solids
74C99 Plastic materials, materials of stress-rate and internal-variable type
PDF BibTeX XML Cite
Full Text: DOI