Retrieving "Constitutive Equations" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Non Linear Strain Models

   Linked via "constitutive equations"

   Theoretical Foundations
   The core departure of NLS from linear elasticity lies in the development of non-linear constitutive equations, often involving higher-order tensors or path-dependent integrations. In isotropic materials, the relationship frequently involves invariants of the strain tensor ($I1, I2, I_3$) or the deviatoric stress tensor ($\mathbf{S}$).
   The Krell-Nadir Anisotropy Ten…

2. Stress And Strain

   Linked via "constitutive equations"

   Stress and strain are fundamental concepts in continuum mechanics used to describe the internal forces and resulting deformations within a deformable body subjected to external loads or environmental changes. While stress quantifies the internal resistance to external forces per unit area, strain quantifies the resulting geometric alteration of the material. The relationship between stress and strain, often formalized by [constitutive equations](/entries/constitutive…