Work

Positive definiteness of deformation energy as a consistency condition of discrete-to-continuum transition

Year: 2025

Type: article

Abstract: We discuss the correspondence between discrete and continuum models of one-dimensional (1D) elastic structures. We propose positive definiteness as a consistency condition for continuum models. As a result, generalized continuum models may be required, as simple (Cauchy-type) continuum models may be insufficient. This theory is illustrated by a few physical examples.

Source: Continuum Mechanics and Thermodynamics

DOI: 10.1007/s00161-025-01430-8

Authors: Victor A. Eremeyev, Igor Berinskii

Institutions: University of Cagliari, Tel Aviv University

Language: English

Topic: Nonlocal and gradient elasticity in micro/nano structures

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: Università degli Studi di Cagliari