Spatial behavior in an elastic problem with non-positive definite tensors

IF 2.2 3区工程技术 Q2 MECHANICS Archive of Applied Mechanics Pub Date : 2024-12-06 DOI:10.1007/s00419-024-02732-0

José R. Fernández, Ramón Quintanilla

引用次数: 0

Abstract

The aim of this work is to obtain an alternative of the Phragmén-Lindelöf type for homogeneous elastic materials when the elastic tensor is not positive definite. Indeed, it is necessary to impose some conditions to this tensor in order to prove the estimates. We propose several examples of elastic tensors which are not positive definite but satisfying the above conditions. Finally, the extensions to the three-dimensional and thermoelastic cases are also considered.

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非正定张量弹性问题的空间行为

这项工作的目的是获得Phragmén-Lindelöf类型的替代均质弹性材料时，弹性张量不是正定的。事实上，为了证明估计，有必要对这个张量施加一些条件。我们提出了几个不确定但满足上述条件的弹性张量的例子。最后，还考虑了三维和热弹性情况下的扩展。

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

Archive of Applied Mechanics 物理-力学

CiteScore

4.40

自引率

10.70%

发文量

234

审稿时长

4-8 weeks

期刊介绍： Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.