Antiplane Deformation of Elastic Bodies with Notches and Cracks

2016 ◽  
pp. 349-402
Author(s):  
Mykhaylo P. Savruk ◽  
Andrzej Kazberuk
Keyword(s):  
Antiplane Deformation ◽  
Elastic Bodies

Antiplane Deformations

1996 ◽  
Author(s):  
T. T. C. Ting
Keyword(s):  
Plane Strain ◽  
Plane Stress ◽  
Antiplane Deformation ◽  
Two Dimensional ◽  
Elastic Materials ◽  
Rectangular Coordinate System ◽  
Elastic Bodies ◽  
Basic Solutions ◽  
Anisotropic Elastic ◽  
Anisotropic Elastic Material

As a starter for anisotropic elastostatics we study special two-dimensional deformations of anisotropic elastic bodies, namely, antiplane deformations. Not all anisotropic elastic materials are capable of an antiplane deformation. When they are, the inplane displacement and the antiplane displacement are uncoupled. The deformations due to inplane displacement are plane strain deformations. Associated with plane strain deformations are plane stress deformations. After defining these special deformations in Sections 3.1 and 3.2 we present some basic solutions of antiplane deformations. They provide useful references for more general deformations we will study in Chapters 8, 10, and 11. The derivation and motivation in solving more general deformations in those chapters become more transparent if the reader reads this chapter first. The solutions obtained in those chapters reduce to the solutions presented here when the materials are restricted to special materials and the deformations are limited to antiplane deformations. In a fixed rectangular coordinate system xi (i=1, 2, 3), let ui, σij, and εij be the displacement, stress, and strain, respectively. The strain-displacement relations and the equations of equilibrium are . . .εij = 1/2 (ui,j + uj,i),. . . . . . (3.1 -1) . . . . . .σij,j =0,. . . . . . (3.1 - 2). . . in which repeated indices imply summation and a comma stands for differentiation. The stress-strain laws for an anisotropic elastic material can be written as σij = Cijks εks or εij = Sijksσks, . . .(3.1 - 3). . . where Cijks and Sijks are, respectively, the elastic stiffnesses and compliances.

Bulk consolidation of inhomogeneously aging elastic bodies

1989 ◽  
Vol 25 (5) ◽  
pp. 448-454 ◽  
Author(s):  
N. Kh. Arutyunyan ◽  
A. D. Drozdov
Keyword(s):  
Elastic Bodies

scholarly journals Multibody Systems with Flexible Elements

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1359
Author(s):  
Marin Marin ◽  
Dumitru Băleanu ◽  
Sorin Vlase
Keyword(s):  
Multibody Systems ◽  
Computer Assisted ◽  
Elastic Bodies ◽  
Algorithmic Analysis

The formalism of multibody systems offers a means of computer-assisted algorithmic analysis and a means of simulating and optimizing an arbitrary movement of a possible high number of elastic bodies in the connection [...]

scholarly journals On the contact problem of layered elastic bodies

1967 ◽  
Vol 25 (3) ◽  
pp. 233-242 ◽  
Author(s):  
Ting-Shu Wu ◽  
Y. P. Chiu
Keyword(s):  
Contact Problem ◽  
Elastic Bodies

A rigorous Hamiltonian approach to the rotation of elastic bodies

1994 ◽  
Vol 58 (3) ◽  
pp. 277-295 ◽  
Author(s):  
Juan Getino ◽  
Jos� M. Ferr�ndiz
Keyword(s):  
Hamiltonian Approach ◽  
Elastic Bodies
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