AMNE:(ENGINEERING AND TECHNOLOGY Materials Engineering Textile, Rubber and Polymeric Materials)
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A One-Step Solution Technique for Elastic-Plastic Self-Similar Problems
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- Ståhle, P. (author)
- Lund University,Lunds universitet,Hållfasthetslära,Institutionen för byggvetenskaper,Institutioner vid LTH,Lunds Tekniska Högskola,Solid Mechanics,Department of Construction Sciences,Departments at LTH,Faculty of Engineering, LTH
- (creator_code:org_t)
- 1986
- 1986
- English 8 s.
- In: International Journal of Fracture. - 0376-9429. ; 30:1, s. 5-12
- Journal article (peer-reviewed)
Abstract
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- At self-similarity the strain history is implicit in and deducible from the strain field at each instance of the loading process. This fact is taken advantage of in a FEM-technique which allows the load to be applied in one single step, only, even when the incremental theory of plastic flow has to be used.Two self-similar problems are solved. Firstly an analytically solvable anti-plane strain crack problem is treated and the numerical one step solution is found to agree very well with the analytical one and significantly better than a step-by-step solution. Secondly a mode I crack problem for asymptotic small scale yielding in plane stress is examined. The result suggests that the plasticity correction for the crack length is significantly less than estimated by Tada et al. [1].
- At self-similarity the strain history is implicit in and deducible from the strain field at each instance of the loading process. This fact is taken advantage of in a FEM-technique which allows the load to be applied in one single step, only, even when the incremental theory of plastic flow has to be used. Two self-similar problems are solved. Firstly an analytically solvable anti-plane strain crack problem is treated and the numerical one step solution is found to agree very well with the analytical one and significantly better than a step-by-step solution. Secondly a mode I crack problem for asymptotic small scale yielding in plane stress is examined. The result suggests that the plasticity correction for the crack length is significantly less than estimated by Tada et al. [1].
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Materialteknik -- Textil-, gummi- och polymermaterial (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Materials Engineering -- Textile, Rubber and Polymeric Materials (hsv//eng)
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- art (subject category)
- ref (subject category)
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