Work

Logarithmic Convexity, Continuous Dependence and Uniqueness in Elastodynamics with Higher Gradients

Year: 2025

Type: article

Abstract: We investigate Hölder continuous dependence in theories of linear elastodynamics, assuming the elastic coefficients are not sign-definite. This is important with modern products such as auxetic materials where Poisson’s ratio may be negative. This study focusses on a class of linear elastic bodies where there are gradients of the strain and second gradients of the strain, and we also analyse a theory of elastodynamics with strain gradients where voids are also present in the body.

Source: Journal of Elasticity

DOI: 10.1007/s10659-025-10184-y

Author: Brian Straughan

Institution: Durham 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: $3,890

OpenAlex ID: W4417435299