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Scattering of elastic waves by elastically transparent obstacles (integral-equation method)
Applied Scientific Research, 1975A formulation of elastodynamic diffraction problems for sinusoidally in time varying disturbances in a linearly elastic medium is presented. Starting with the elastodynamic reciprocity relation, an integral representation for the particle displacement is derived.
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Boundary Integral Equations in Elasticity Theory
2002Preface. Preface Z. Olesiak. Introduction. Part I: Method of Potentials. 1. Real Potentials of Elasticity Theory. 2. Singular Solutions and Potentials in Complex Form. 3. Complex Integral Equations of the Indirect Approach. 4. Complex Integral Equations of the Direct Approach. Part II: Methods Based on the Theory by Kolosov-Muskhelishvili. 5. Functions
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On integral and differential formulations in nonlocal elasticity
European Journal of Mechanics, A/Solids, 2023Julius Kaplunov, Danila A Prikazchikov
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6.2 Integral elastic cross sections
2005S. J. Buckman, M. Brunger, M. T. Elford
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Elastic Scattering: Stationary Formulation—Integral Equations
2022Reiner M. Dreizler +2 more
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Computing upper and lower bounds for the J-integral in two-dimensional linear elasticity
Computer Methods in Applied Mechanics and Engineering, 2006Núria Parés Mariné, Jaime Peraire
exaly
Nonlocal integral elasticity: 2D finite element based solutions
International Journal of Solids and Structures, 2009Aurora Pisano, Alba Sofi
exaly
Hypersingular boundary integral equation for axisymmetric elasticity
International Journal for Numerical Methods in Engineering, 2001Luiz C Wrobel
exaly

