Work

On the Maxwell–Eshelby relation in the theory of 6-parameter elastic shells

Year: 2025

Type: article

Abstract: In this work, we first derive jump conditions in addition to the balance laws and boundary conditions for 6-parameter elastic shells with a discontinuity curve. Furthermore, we obtain Hadamard compatibility conditions that must be satisfied by strain measures in the presence of a discontinuity curve. By using energy-minimizing conditions (rank-one convexity conditions), we derive Maxwell-Eshelby relations that must be satisfied.

Source: Mechanics Research Communications

DOI: 10.1016/j.mechrescom.2025.104451

Authors: Mircea Bîrsan, Milad Shirani

Institutions: Romanian Academy, University of Duisburg-Essen, Yale 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: $3,580

Funder: Universität Duisburg-Essen