Mechanical Constitutive Models for Engineering Materials.

摘要

Some of the basic mathematical tools and physical concepts necessary for development of mechanical constitutive relationships are reviewed and presented in orthogonal Cartesian coordinate system, using both indicial and matrix notations. Following this review, various classes of isotropic constitutive relationships are discussed and examined. The analyses are restricted to deformation for which displacement gradients are small. The constitutive relationships are classified and presented in the following categories: Constitutive equations of elastic materials, Incremental constitutive equations, Constitutive equations of simple viscoelastic materials, and Constitutive equations of plastic materials. (Author)