被真空包围的球面对称各向同性弹性体的膨胀和坍缩

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL Annales Henri Poincaré Pub Date : 2023-12-09 DOI:10.1007/s00023-023-01390-2

Thomas C. Sideris

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引用次数: 0

摘要

给出了一类各向同性和尺度不变的应变能函数，其相应的球对称弹性运动包括直径随时间变化为无限大或在有限时间内塌缩为零的体，这取决于残余压力的符号。物体周围是真空，因此边界表面力消失，而密度严格保持正值。物体只受到内部弹性应力的作用。

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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Expansion and Collapse of Spherically Symmetric Isotropic Elastic Bodies Surrounded by Vacuum

A class of isotropic and scale-invariant strain energy functions is given for which the corresponding spherically symmetric elastic motion includes bodies whose diameter becomes infinite with time or collapses to zero in finite time, depending on the sign of the residual pressure. The bodies are surrounded by vacuum so that the boundary surface forces vanish, while the density remains strictly positive. The body is subject only to internal elastic stress.

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来源期刊

Annales Henri Poincaré 物理-物理：粒子与场物理

CiteScore

3.00

自引率

6.70%

发文量

108

审稿时长

6-12 weeks

期刊介绍： The two journals Annales de l''Institut Henri Poincaré, physique théorique and Helvetica Physical Acta merged into a single new journal under the name Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics edited jointly by the Institut Henri Poincaré and by the Swiss Physical Society. The goal of the journal is to serve the international scientific community in theoretical and mathematical physics by collecting and publishing original research papers meeting the highest professional standards in the field. The emphasis will be on analytical theoretical and mathematical physics in a broad sense.