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

IF 1.9 4区工程技术 Q3 MECHANICS

Mechanics Research Communications Pub Date : 2025-06-19 DOI:10.1016/j.mechrescom.2025.104451

Mircea Bîrsan , Milad Shirani

引用次数: 0

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.

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六参数弹性壳理论中的Maxwell-Eshelby关系

本文首先推导了具有不连续曲线的六参数弹性壳的跳跃条件以及平衡规律和边界条件。此外，我们还得到了在存在不连续曲线的情况下应变测量必须满足的Hadamard相容条件。利用能量最小化条件（秩一凸性条件），导出了必须满足的Maxwell-Eshelby关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mechanics Research Communications 物理-力学

CiteScore

4.10

自引率

4.20%

发文量

114

审稿时长

9 months

期刊介绍： Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide: • a fast means of communication • an exchange of ideas among workers in mechanics • an effective method of bringing new results quickly to the public • an informal vehicle for the discussion • of ideas that may still be in the formative stages The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.