Data-Driven Constitutive Modeling via Conjugate Pairs and Response Functions

Response functions completely define the constitutive equations for a hyperelastic material. A strain measure providing an orthogonal stress response, grants response directly from experimental curves. One of these measures is Laplace stretch based on QR-decomposition deformation gradient. Such recovery data fits paradigm data-driven modeling. The set independent conjugate stress–strain base pairs were proposed as simple alternative modeling and thus might be efficient In present paper we explore applicability approach analysis representation in terms due to stretch. Our shows that one can not guarantee independence except case infinitesimal strain.