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On the calculation of boundary stresses in boundary elements

โœ Scribed by Zhiye Zhao


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
428 KB
Volume
16
Category
Article
ISSN
0955-7997

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โœฆ Synopsis


The discontinuity of boundary stresses evaluated using discretized boundary elements is discussed, and stress error bound is derived. A new procedure for calculating interelement stress is proposed to overcome stress discontinuity at the interelement boundary. By employing two middle nodes of the two adjacent elements and the interelement node, a new quadratic element is formed, which leads to a more accurate interelement stress. Two examples are used to study error distributions of displacements and stresses. The comparison study indicates that the new procedure provides a better solution for interelement stresses than the conventional method.


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On the calculation of boundary stresses
โœ Christian Fiedler ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 952 KB

The computation of boundary stresses by Boundary Element Method (BEM) is usually performed either by expressing the boundary tractions in a local co-ordinate system, calculating the remaining stresses by shape function differentiation and inserting into Hooke's law or recently also by solving the hy