Scholarlink

Abstract <p>The graphical diagram <i>A</i> – ν<sub>0</sub> proposed earlier by the authors was used to analyze the elastic properties of cubic crystals of simple substances. The elastic properties of crystals both at room temperature and their temperature dependences are considered. As the temperature increases, a general trend is observed for most crystals of simple substances: the points (<i>A</i>, ν<sub>0</sub>) characterizing the elastic properties of crystals shift in the direction towards the limiting angle of the diagram (<i>A</i> = 1.5, <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({{\nu }_{0}} = 0.5)\)</EquationSource> <!--MechSol2560255Epishin-m1--> </InlineEquation>, i.e., in the towards of the region of special extrema being typical for metastable crystals, for example, such as crystals with shape-memory effect. The use of the <i>A</i> – ν<sub>0</sub> diagram made it possible to graphically represent and explain the relationships between the basic values of the elastic moduli of cubic crystals: Young’s modulus <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({{E}_{0}}\)</EquationSource> <!--MechSol2560255Epishin-m2--> </InlineEquation>, shear modulus <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\({{G}_{0}}\)</EquationSource> <!--MechSol2560255Epishin-m3--> </InlineEquation>, and volumetric modulus of elasticity <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(B\)</EquationSource> <!--MechSol2560255Epishin-m4--> </InlineEquation>.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Analysis of Elastic Properties of Cubic Crystals of Simple Substances Using the Diagram A – ν0

  • 期刊论文

  • 发表日期：

    2025年8月1日

查看全文
  • A. I. Epishin,
  • D. S. Lisovenko

摘要

Abstract

The graphical diagram A – ν0 proposed earlier by the authors was used to analyze the elastic properties of cubic crystals of simple substances. The elastic properties of crystals both at room temperature and their temperature dependences are considered. As the temperature increases, a general trend is observed for most crystals of simple substances: the points (A, ν0) characterizing the elastic properties of crystals shift in the direction towards the limiting angle of the diagram (A = 1.5, \({{\nu }_{0}} = 0.5)\) , i.e., in the towards of the region of special extrema being typical for metastable crystals, for example, such as crystals with shape-memory effect. The use of the A – ν0 diagram made it possible to graphically represent and explain the relationships between the basic values of the elastic moduli of cubic crystals: Young’s modulus \({{E}_{0}}\) , shear modulus \({{G}_{0}}\) , and volumetric modulus of elasticity \(B\) .