Abstract
The idea of coupling path-independent integrals and the boundary element method to shape sensitivity analysis and identification associated with singular and quasi-singular boundary variations was proposed by Burczyński [2] and next extended to crack problems by Burczyński and Polch [3], [4].
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References
H.D. Bui, Dual path-independent integrals in the boundary-value problems of cracks. Engng. Fract. Mech. 6(1974), pp.287–296.
T. Burczyński, T. Shape sensitivity analysis and identification problems associated with singular Path-independent integral approach and quasi-singular boundary variations. Proc. IABEM-92 International Symposium on Boundary Element Methods, University of Colorado, Bolder, Colorado, USA. 1992.
T. Burczyński, T. and E.Z. Polch, Sensitivity analysis of cracks using boundary and path-independent integrals. Proc. International Symposium on Boundary Element Methods, Technical University of Braunschweig, Germany, 1993.
T. Burczyński, T. and E.Z. Polch, Path-independent and boundary integral approach to sensitivity analysis and identification of cracks. In: Inverse Problems in Engineering Mechanics. (eds. H.D. Bui and M. Tanaka et al.), A.A. Balkema, Rotterdam 1994, pp.355–361.
K. Dems and Z. Mróz, On a class of conservation rules associated with sensitivity analysis in linear elasticity. Int. J. Solids & Structures, Vol.22 (1986), pp.737–758.
J.R. Rice, A path-independent integral and the approximate analysis of strain concentrations by notches and cracks. J. Appl. Mech., Vol.35 (1968), pp.379–386.
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© 1995 Springer-Verlag Berlin Heidelberg
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Burczyński, T., Habarta, M. (1995). Boundary and path-independent integrals in sensitivity analysis of voids. In: Atluri, S.N., Yagawa, G., Cruse, T. (eds) Computational Mechanics ’95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79654-8_501
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DOI: https://doi.org/10.1007/978-3-642-79654-8_501
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