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Transient response analysis of anisotropic solids with nano‐cavities by BEM
Author(s) -
Parvanova Sonia,
Dineva Petia
Publication year - 2021
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.202000241
Subject(s) - anisotropy , elasticity (physics) , isotropy , boundary value problem , transient response , constitutive equation , displacement field , physics , boundary element method , fourier transform , materials science , transient (computer programming) , frequency domain , finite element method , mechanics , mathematical analysis , classical mechanics , mathematics , optics , thermodynamics , computer science , operating system , electrical engineering , engineering
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.