On the Interior Stress Problem for Elastic BodiesSource: Journal of Applied Mechanics:;2000:;volume( 067 ):;issue: 004::page 658Author:J. Helsing
DOI: 10.1115/1.1327251Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The classic Sherman-Lauricella integral equation and an integral equation due to Muskhelishvili for the interior stress problem are modified. The modified formulations differ from the classic ones in several respects: Both modifications are based on uniqueness conditions with clear physical interpretations and, more importantly, they do not require the arbitrary placement of a point inside the computational domain. Furthermore, in the modified Muskhelishvili equation the unknown quantity, which is solved for, is simply related to the stress. In Muskhelishvili’s original formulation the unknown quantity is related to the displacement. Numerical examples demonstrate the greater stability of the modified schemes. [S0021-8936(00)01304-0]
keyword(s): Stress , Algorithms , Equations , Integral equations , Displacement AND Stability ,
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contributor author | J. Helsing | |
date accessioned | 2017-05-09T00:01:37Z | |
date available | 2017-05-09T00:01:37Z | |
date copyright | December, 2000 | |
date issued | 2000 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-26501#658_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/123193 | |
description abstract | The classic Sherman-Lauricella integral equation and an integral equation due to Muskhelishvili for the interior stress problem are modified. The modified formulations differ from the classic ones in several respects: Both modifications are based on uniqueness conditions with clear physical interpretations and, more importantly, they do not require the arbitrary placement of a point inside the computational domain. Furthermore, in the modified Muskhelishvili equation the unknown quantity, which is solved for, is simply related to the stress. In Muskhelishvili’s original formulation the unknown quantity is related to the displacement. Numerical examples demonstrate the greater stability of the modified schemes. [S0021-8936(00)01304-0] | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | On the Interior Stress Problem for Elastic Bodies | |
type | Journal Paper | |
journal volume | 67 | |
journal issue | 4 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.1327251 | |
journal fristpage | 658 | |
journal lastpage | 662 | |
identifier eissn | 1528-9036 | |
keywords | Stress | |
keywords | Algorithms | |
keywords | Equations | |
keywords | Integral equations | |
keywords | Displacement AND Stability | |
tree | Journal of Applied Mechanics:;2000:;volume( 067 ):;issue: 004 | |
contenttype | Fulltext |