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单词 Lame Constants
释义

Lame Constants

中文百科

拉梅参数 Lamé parameters

(重定向自Lame Constants)

在线性弹性力学中,拉梅参数包括以下两个参数:

上述参数的条件是各向同性材料,并在三维中满足胡克定律。

其中σ是应力,ε是应变张量,\scriptstyle I是单位矩阵,\scriptstyle\mathrm{tr}(\cdot)是迹函数。

第一参数λ没有物理解释,但其有助于化简胡克定律的刚度矩阵。两个参数构建了均质各向同性介质的弹性模量的参数化形式,并与其他弹性模量形成了联系。

拉梅参数以拉梅(Gabriel Lamé)的名字命名。

英语百科

Lamé parameters 拉梅参数

(重定向自Lame Constants)

In continuum mechanics, the Lamé parameters (also called the Lamé coefficients or Lamé constants) are two material-dependent quantities denoted by λ and μ that arise in strain-stress relationships. In general, λ and μ are individually referred to as Lamé's first parameter and Lamé's second parameter, respectively. Other names are sometimes employed for one or both parameters, depending on context. For example, the parameter μ is referred to in fluid dynamics as the dynamic viscosity of a fluid; whereas in the context of elasticity, μ is called the shear modulus, and is sometimes denoted by G instead of μ. Typically the notation G is seen paired with the use of Young's modulus, and the notation μ is paired with the use of λ.

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更新时间:2025/6/22 19:53:32