Stress analysis of a debonding and a crack around a circular rigid inclusion

1986 ◽  
Vol 32 (3) ◽  
pp. 169-183 ◽  
Author(s):  
Norio Hasebe ◽  
Mikiya Okumura ◽  
Takuji Nakamura
Keyword(s):  
Stress Analysis ◽  
Rigid Inclusion ◽  
Circular Rigid Inclusion

The Influence of the Shape and Rigidity of an Elastic Inclusion on the Transverse Flexure of Thin Plates

1943 ◽  
Vol 10 (2) ◽  
pp. A69-A75
Author(s):  
Martin Goland
Keyword(s):  
Stress Distribution ◽  
Future Study ◽  
Rigid Inclusion ◽  
Elastic Inclusion ◽  
Thin Plates ◽  
Elastic Plates ◽  
Perforated Plates ◽  
Circular Rigid Inclusion ◽  
Special Cases ◽  
Elastic Inclusions

Abstract The purpose of this paper is to investigate the influence of several types of inclusions on the stress distribution in elastic plates under transverse flexure. An “inclusion” is defined as a close-fitting plate of some second material cemented into a hole cut in the interior of the elastic plate. Depending upon the properties of the material of which it is composed, the inclusion is described as rigid or elastic. In particular, the solutions presented will deal with the effects of circular inclusions of differing degrees of elasticity and rigid inclusions of varying elliptical form. Since the rigid inclusion and the hole are limiting types of elastic inclusions, and the circular shape is a special form of the ellipse, plates with either a circular hole or a circular rigid inclusion are important special cases of this discussion. It is hoped that the present analysis of several types of inclusions will aid in a future study of perforated plates stiffened by means of reinforcing rings fitted into the holes.

Electric-current-induced thermal stress around a non-circular rigid inclusion in a two-dimensional nonlinear thermoelectric material

2020 ◽  
Vol 231 (11) ◽  
pp. 4603-4619
Author(s):  
Hai-Bing Yang ◽  
Chuan-Bin Yu ◽  
Jie-Yao Tang ◽  
Jian Qiu ◽  
Xiao-Qing Zhang
Keyword(s):  
Thermal Stress ◽  
Electric Current ◽  
Thermoelectric Material ◽  
Rigid Inclusion ◽  
Two Dimensional ◽  
Circular Rigid Inclusion

A debonding and a crack on a circular rigid inclusion subjected to rotation

1987 ◽  
Vol 33 (3) ◽  
pp. 195-208 ◽  
Author(s):  
Norio Hasebe ◽  
Mikiya Okumura ◽  
Takuji Nakamura
Keyword(s):  
Rigid Inclusion ◽  
Circular Rigid Inclusion

scholarly journals Analysis of the Nonlinear Elastic Response of Rubber Membrane with Embedded Circular Rigid Inclusion

2015 ◽  
Vol 45 (3) ◽  
pp. 23-36 ◽  
Author(s):  
Sang Jianbing ◽  
Xing Sufang ◽  
Wang Ling ◽  
Wang Jingyuan ◽  
Zhou Jing
Keyword(s):  
Rigid Inclusion ◽  
Strain Energy Function ◽  
Elastic Response ◽  
Elastic Behaviour ◽  
Elasticity Analysis ◽  
Rubber Membrane ◽  
Circular Rigid Inclusion ◽  
Incompressible Materials ◽  
Nonlinear Elastic ◽  
Constitutive Parameters

AbstractRubber membranes exhibit a particular nonlinear elastic behaviour known as hyper elasticity. Analysis has been proposed by utilizing the modified strain energy function from Gao’s constitutive model, in order to reveal the mechanical property of rubber membrane containing circular rigid inclusion. Rubber membrane is taken into incompressible materials under axisymmetric stretch, based on finite deformations theory. Stress distribution of different constitutive parameters has been analyzed by deducing the basic governing equation. The effects on membrane deformation by different parameters and the failure reasons of rubber membrane have been discussed, which provides reasonable reference for the design of rubber membrane.

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