Work

Constitutive properties for isotropic energies in ideal nonlinear elasticity for solid materials: Numerical evidences for invertibility and monotonicity in different stress–strain pairs

Year: 2026

Type: article

Abstract: As a service for the solid mechanics community, we gather in this paper constitutive properties of a collective list of isotropic elastic energies for compressible materials. Of interest to us are the invertibility and monotonicity of certain stress–strain pairs. The calculations are done numerically by our own evaluation algorithm and presented in a yes/no table. Such an overview has been missing up to now. It is intended to expand the table with further energies as time goes on and updates will be found on arxive.

Source: Mathematics and Mechanics of Solids

DOI: 10.1177/10812865251411977

Authors: Ionel-Dumitrel Ghiba, Robert J Martin, Marius Apetrii, Patrizio Neff

Institutions: Alexandru Ioan Cuza University, Romanian Academy, University of Duisburg-Essen

Language: English

Topic: Elasticity and Material Modeling

Subfield: Biomedical Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7130520373

FWCI: 1.72

Cites: 35

Cited by: 1

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