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Transient response analysis of anisotropic solids with nano‐cavities by BEM
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-11-02 , DOI: 10.1002/zamm.202000241
Sonia Parvanova 1 , Petia Dineva 2
Affiliation  

Тwo‐dimensional in‐plane transient elasto‐dynamic problem for isotropic/anisotropic, finite/infinite solids with nano‐cavities is formulated. The mechanical model combines: (a) classical elastodynamic theory for the bulk anisotropic solid; (b) non‐classical boundary conditions and localized constitutive equation for the interface between nano‐cavities and anisotropic matrix within the frame of the Gurtin‐Murdoch surface elasticity theory. The computational approach uses Fourier‐domain BEM (boundary element method) in conjunction with closed form frequency dependent fundamental solution. Accuracy and convergence of the numerical solutions for dynamic stress concentration factor (DSCF) and scattered wave field displacements is studied by comparison with available solutions. In addition a parametric study for the transient wave field sensitivity in bounded and unbounded solids to the type and characteristics of the transient disturbance, to the surface elasticity phenomena, to the nano‐cavities interaction and to the type of the material anisotropy is presented.

中文翻译:

利用BEM分析纳米腔各向异性固体的瞬态响应

提出了具有纳米腔的各向同性/各向异性,有限/无限固体的二维平面瞬态弹性动力学问题。力学模型结合了:(a)块状各向异性固体的经典弹性力学理论;(b)在Gurtin-Murdoch表面弹性理论框架内,纳米腔与各向异性矩阵之间的界面的非经典边界条件和局部本构方程。该计算方法将傅立叶域BEM(边界元方法)与闭式频率相关的基本解结合使用。通过与可用解进行比较,研究了动态应力集中因子(DSCF)和散射波场位移的数值解的准确性和收敛性。
更新日期:2020-11-02
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