Abstract
A number of recently developed boundary element solutions are used for solving a range of elastoplastic and thermoplastic problems. The first algorithm is the conventional volume integral formulation in which the unknown boundary solution and the initial stress (or strain) rates are found together either in an incremental iterative fashion or by a direct variable stiffness type algorithm. The second procedure which is entirely new differs from the previous one in that volume integration is not required to incorporate the nonlinear effects in the analysis. Instead, initial stress rates are introduced in the boundary element system via particular integrals.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Banerjee, P.K. and Butterfield, R., Boundary Element Methods in Engineering Science, McGraw-Hill, London (1981).
Banerjee, P.K., Cathie, D.N. and Davies, T.G., ‘Two and Three-dimensional Problems of Elastoplasticity,’ Chapter IV in Developments in Boundary Elements, V1, Applied Science Publishers, London (1979).
Cathie, D.N. and Banerjee, P.K., ‘Boundary Element Methods for Axisymmetric Plasticity,’ Innovative Numerical Methods for the Applied Engineering Science, Eds. R. Shaw, W. Pilkey, B. Pilkey, R. Wilson, A. Lakis, A. Chaudouet, and C. Marino, University of Virginia Press (1980).
Banerjee, P.K. and Davies, T.G., ‘Advanced Implementation of the Boundary Element Method for Three-dimensional Problems of Elastoplasticity and Viscoplasticity,’ Chapter I in Developments in Boundary Elements, V3, Eds. P.K. Banerjee and S. Mukherjee, Applied Science Publishers, London (1984).
Banerjee, P.K. and Raveendra, S.T., ‘Advanced Boundary Element Analysis of Two-and Three-dimensional Problems of Elastoplasticity,’ Int. Jour. for Num. Methods in Engrg., V23, pp. 985–1002 (1986).
Banerjee, P.K. and Raveendra, S.T., ‘A New Boundary Element Formulation for Two-dimensional Elastoplastic Analysis,’ Jour. of Engrg. Mech., V113(2), pp. 252–265 (1986).
Banerjee, P.K. and Henry, D.P., Jr., ‘Recent Advances in the Inelastic Analysis of Solids by BEM,’ Proc. of ASME Conf. on Advances in Inelastic Analysis, AMD, V88, pp. 177–192 (1987).
Banerjee, P.K., Wilson, R.B. and Raveendra, S.T., ‘Advanced Applications of BEM to Three-dimensional Problems of Monotonic and Cyclic Plasticity,’ Int. Jour. Mech. Sciences, V29(9), pp. 637–653 (1987).
Banerjee, P.K., Wilson, R.B. and Miller, N., ‘Advanced Elastic and Inelastic Three-dimensional Analysis of Gas Turbine Engine Structures by BEM,’ Int. Jour. Num. Methods in Engrg., V26, pp 393–411 (1988).
Banerjee, P.K., Henry, D.P. and Raveendra, ‘Advanced Inelastic Analysis of Solids by BEM,’ Int. Jour. Mech. Sciences, V31, pp. 309–322 (1989).
Dargush, G.F., Boundary Element Methods for the Analogous Problems of Ther-momechanics and Consolidation, Ph.D. Thesis, State University of New York at Buffalo (1987).
Henry, D.P., Jr., Advanced Development of the Boundary Element Method for Elastic and Inelastic Thermal Stress Analysis, Ph.D. Dissertation, State University of New York at Buffalo (1987).
Henry, D.P., Jr. and Banerjee, P.K., ‘A Thermoplastic BEM Analysis for Substructured Axisymmetric Bodies,’ Jour. of Engrg. Mech., ASCE, V113(12), pp. 1880–1900 (1987).
Henry. D.P. and Banerjee, P.K., ‘A Variable Stiffness Type Boundary Element Formulation for Axisymmetric Elastoplastic Media,’ Int. Jour. for Num. Methods in Engrg., V25, pp. 1005–1027 (1988).
Henry, D.P. and Banerjee, P.K., ‘A New BEM Formulation for Thermoelasticity by Particular Integrals,’ Int. Jour. Num. Methods in Engrg., V26(9), pp. 2061–2078, (1988).
Henry, D.P. and Banerjee, P.K., ‘A New BEM Formulation for Elastoplasticity by Particular Integrals,’ Int. Jour. Num. Methods in Engrg., V26(9), pp. 2079–2096 (1988).
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
Banerjee, P.K., Henry, D.P., Dargush, G.F. (1990). Progress in Applications of BEM to Inelastic Analysis of Solids. In: Annigeri, B.S., Tseng, K. (eds) Boundary Element Methods in Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84238-2_34
Download citation
DOI: https://doi.org/10.1007/978-3-642-84238-2_34
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-84240-5
Online ISBN: 978-3-642-84238-2
eBook Packages: Springer Book Archive