通过重复等应变和等应力构造以及算术几何平均数计算两相弹性复合材料的有效杨氏模量

arXiv - PHYS - Classical Physics Pub Date : 2024-09-15 DOI:arxiv-2409.09738

Jiashi Yang

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引用次数: 0

摘要

在两相弹性复合材料的有效杨氏模量与已知数学平均值之间建立了一种关系。具体来说，通过重复并联和串联结构得到的复合材料的有效杨氏模量等于各组成材料杨氏模量的算术几何平均数。这一结果同样适用于电阻器重复并联和串联的电路。

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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Effective Youngs Modulus of Two-Phase Elastic Composites by Repeated Isostrain and Isostress Constructions and Arithmetic-Geometric Mean

A relationship is established between the effective Youngs modulus of a two-phase elastic composite and a known mathematical mean value. Specifically, the effective Youngs modulus of a composite obtained from repeated parallel and serial constructions is equal to the arithmetic-geometric mean of the Youngs moduli of the component materials. This result also applies to electric circuits with resistors in repeated parallel and serial connections.

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arXiv - PHYS - Classical Physics

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