Summary
This paper discusses the determination of design sensitivity coefficients (DSC’s), for planar elasticity problems, by the derivative boundary element method (DBEM). It is shown that this is an efficient and accurate method for the determination of DSC’s -especially of stresses on the boundary of a body. Numerical results are presented for two illustrative problems for which analytical solutions are available. These numerical solutions compare very well with the analytical solutions.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Barone, M.R.; Yang, R.-J.: Boundary integral equations for recovery of design sensitivities in shape optimization. AIAA Journal, 26 (1988) 589–594
Rice, J.R.; Mukherjee, S.: Design sensitivity coefficients for axisymmetric elasticity problems by boundary element methods. Submitted for publication.
Kane, J.H.; Saigal, S.: Design sensitivity analysis of solids using BEM. ASCE Journal of Engineering Mechanics 14 (1988) 1703–1722.
Saigal, S.; Borggaard, J.T.; Kane, J.H.: Boundary element implicit differentiation equations for design sensitivities of axisymmetric structures. International Journal of Solids and Structures, (in press).
Aithal, R.; Saigal, S.; Mukherjee, S.: Three-dimensional boundary element implicit differentiation formulation for design sensitivity analysis. Computing and Mathematics with Applications (in press).
Ghosh, N.; Rajiyall, H.; Ghosh, S.; Mukherjee, S.: A new boundary element method formulation for linear elasticity. ASME Journal of Applied Mechanics 53 (1986) 69–76.
Ghosh, N.; Mukherjee, S.: A new boundary element method formulation for three-dimensional problems in linear elasticity. Acta Mechanics 67 (1987) 107–119.
Mukherjee, S.; Zhang, Q.: The modelling on corners for regular and sensitivity analysis and its relationship to the derivative boundary element method. Submitted for publication.
Okada, H.; Rajiyah, H.; Atluri, S.N.: A novel displacement gradient boundary element method for elastic stress analysis with high accuracy. ASME Journal of Applied Mechanics 55 (1988) 786–794.
Mukherjee, S.: Boundary Element Methods in Creep and Fracture. London. Elsevier Applied Science 1982.
Sladek, J.; Sladek, V.: Computation of stresses by BEM in 2-D Elastostatics. Acta Techanica CSAV31 (1986) 523–531.
Cruse, T.A.; Vanburen, W.: Three-dimensional elastic stress analysis of a fracture specimen with an edge crack. International Journal of Fracture Mechanics 7 (1971) 1–15.
Mukherjee, S.; Chandra, A.: A boundary element formulation for design sensitivities in materially nonlinear problems.ACTA Mechanica (in press).
Timoshenko, S.P.; Goodier, J.N. Theory of Elasticity. 3rd ed. New York, McGraw-Hill 1970.
Dongarra, J.J.; Moler, C.B.; Bunch, J.R.; Stewart, G.W.: Linpack Users’ Guide, SIAM, Philadelphia 1979.
Mukherjee, S.; Chandra, A. A boundary element formulation for design sensitivities in problems involving both geometric and material nonlinearities. Computing and Mathematics with Applications (in press).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Zhang, Q., Mukherjee, S. (1990). Design Sensitivity Coefficients for Linear Elasticity Problems by the Derivative Boundary Element Method. In: Kuhn, G., Mang, H. (eds) Discretization Methods in Structural Mechanics. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-49373-7_27
Download citation
DOI: https://doi.org/10.1007/978-3-642-49373-7_27
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-49375-1
Online ISBN: 978-3-642-49373-7
eBook Packages: Springer Book Archive