Analytical Solutions of 2-dimensional Second Gradient Linear Elasticity for Continua with Cubic-D4 Microstructure

Analytical Solutions of 2-dimensional Second Gradient Linear Elasticity for Continua with Cubic-D4 Microstructure
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具有Cubic-D4微观结构的Continua二维第二梯度线性弹性解析解

DOI:
10.1007/978-3-030-13307-8_26
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发表时间:
2019
期刊:
Advanced Structured Materials
影响因子:
--
通讯作者:
E. Barchiesi
E. Barchiesi
中科院分区:
--
文献类型:
--
作者:
L. Placidi;G. Rosi;E. Barchiesi

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本文考虑了一些特殊情况和线性各向异性D4二阶梯度弹性模型的解析解。目的是本构参数辨识。一般来说,由于快速的数值工具和它们通常很难实现的事实,解析解被认为不像过去那么重要。然而,它们仍然发挥着非常重要的作用,如数值比较和处理病理力学系统。
We consider in this paper analytical solutions for some remarkable cases and for a linear anisotropic D4 second gradient elastic model. The purpose is that of constitutive parameter identification. In general, analytical solutions are considered less important than in the past due to fast numerical tools and to the fact that they are generally very difficult to achieve. However, they still play very important roles such as for numerical comparison and for dealing with pathological mechanical systems.