Novel displacement gradient boundary element method for elastic stress analysis with high accuracy

H. Okada; H. Rajiyah; S. N. Atluri

Novel displacement gradient boundary element method for elastic stress analysis with high accuracy

H. Okada, H. Rajiyah, S. N. Atluri

Mechanical Engineering

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

The boundary element method (BEM) in current usage, is based on the displacement boundary integral equation. The current practice of computing stresses in the BEM involves the use of a two-tier approach: (i) numerical differentiation of the displacement field at the boundary, and (ii) analytical differentiation of the displacement integral equation at the source point in the interior. A new direct integral equation for the displacement gradient is proposed here, to obviate this two-tier approach. The new direct boundary integral equation for displacement gradients has a lower order singularity than in the standard formulation, and is quite tractable from a numerical view point. Numerical results are presented to illustrate the advantages of the present approach.

Original language	English
Pages (from-to)	APM21 9p
Journal	American Society of Mechanical Engineers (Paper)
State	Published - 1989
Event	Joint ASCE/ASME Applied Mechanics, Biomechanics, and Fluids Engineering Conference - San Diego, CA, USA Duration: Jul 9 1989 → Jul 12 1989

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title = "Novel displacement gradient boundary element method for elastic stress analysis with high accuracy",

abstract = "The boundary element method (BEM) in current usage, is based on the displacement boundary integral equation. The current practice of computing stresses in the BEM involves the use of a two-tier approach: (i) numerical differentiation of the displacement field at the boundary, and (ii) analytical differentiation of the displacement integral equation at the source point in the interior. A new direct integral equation for the displacement gradient is proposed here, to obviate this two-tier approach. The new direct boundary integral equation for displacement gradients has a lower order singularity than in the standard formulation, and is quite tractable from a numerical view point. Numerical results are presented to illustrate the advantages of the present approach.",

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year = "1989",

language = "English",

pages = "APM21 9p",

journal = "American Society of Mechanical Engineers (Paper)",

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TY - JOUR

T1 - Novel displacement gradient boundary element method for elastic stress analysis with high accuracy

AU - Okada, H.

AU - Rajiyah, H.

AU - Atluri, S. N.

PY - 1989

Y1 - 1989

N2 - The boundary element method (BEM) in current usage, is based on the displacement boundary integral equation. The current practice of computing stresses in the BEM involves the use of a two-tier approach: (i) numerical differentiation of the displacement field at the boundary, and (ii) analytical differentiation of the displacement integral equation at the source point in the interior. A new direct integral equation for the displacement gradient is proposed here, to obviate this two-tier approach. The new direct boundary integral equation for displacement gradients has a lower order singularity than in the standard formulation, and is quite tractable from a numerical view point. Numerical results are presented to illustrate the advantages of the present approach.

AB - The boundary element method (BEM) in current usage, is based on the displacement boundary integral equation. The current practice of computing stresses in the BEM involves the use of a two-tier approach: (i) numerical differentiation of the displacement field at the boundary, and (ii) analytical differentiation of the displacement integral equation at the source point in the interior. A new direct integral equation for the displacement gradient is proposed here, to obviate this two-tier approach. The new direct boundary integral equation for displacement gradients has a lower order singularity than in the standard formulation, and is quite tractable from a numerical view point. Numerical results are presented to illustrate the advantages of the present approach.

UR - http://www.scopus.com/inward/record.url?scp=0024936399&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0024936399

SP - APM21 9p

JO - American Society of Mechanical Engineers (Paper)

JF - American Society of Mechanical Engineers (Paper)

SN - 0402-1215

Y2 - 9 July 1989 through 12 July 1989

ER -