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Boundary integral equation analysis in linear viscoelasticity: variational and saddle point formulations

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This paper presents a symmetric, double integration boundary integral equation (BIE) approach to linear viscoelastic analysis. The time evolution of the boundary unknowns is shown to be characterized by a variational theorem over an arbitrary time interval and by a min-max theorem from the time origin to infinite (minimum for displacements, maximum for tractions). Boundary element (BE) discretization in space and time leads to algebraic equations with symmetric coefficient matrix.

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Communicated by S. N. Atluri, September 13, 1990

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Carini, A., Diligenti, M. & Maier, G. Boundary integral equation analysis in linear viscoelasticity: variational and saddle point formulations. Computational Mechanics 8, 87–98 (1991). https://doi.org/10.1007/BF00350613

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  • DOI: https://doi.org/10.1007/BF00350613

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