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Application of boundary integral method to elastoplastic analysis of V-notched beams

โœ Scribed by Walter Rzasnicki; Alexander Mendelson


Book ID
104617685
Publisher
Springer Netherlands
Year
1975
Tongue
English
Weight
581 KB
Volume
11
Category
Article
ISSN
1573-2673

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โœฆ Synopsis


The boundary integral equation method was applied in the solution of the plane elastoplastic problems. The use of this method was illustrated by obtaining stress and strain distributions for a number of specimens with a single edge notch and subjected to pure bending. The boundary integral equation method reduced the non-homogeneous biharmonic equation to two coupled Fredholm-type integral equations. These integral equations were replaced by a system of simultaneous algebraic equations and solved numerically in conjunction with the method of successive elastic solutions.


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The boundary-integral equation (BIE) method for 3D elastic fracture mechanics has been extended to the elastoplastic problem. The formulation makes use of a special elastic Green's function for the crack, thereby eliminating the need to model the crack itself. Application of the general formulation