Elastic waves in solids have also been historically studied, though analytic solutions are available only for simple domains and settings. The approximation of the solution to the elastodynamics ...

Verruijt, A. Brinkgreve, R. B. J. and Li, S. 2008. Analytical and numerical solution of the elastodynamic strip load problem. International Journal for Numerical and ...

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TSEM makes use of a variational formulation of elastodynamics based on unstructured straight-sided triangles that allow enhanced flexibility when dealing with complex geometries and velocity ...

Abstract: Perfectly matched layers (PMLs) provide an exponential decay, independent of the frequency, of any propagating field along an assigned direction without producing spurious reflections at the ...

Partial differential equations, integral equations, and calculus of variations are my main areas of research, with particular emphasis on problems that arise in continuum mechanics. Earlier efforts ...

Linear elasticity is a mathematical model of how solid objects deform and become internally stressed by prescribed loading conditions. It is a simplification of the more general nonlinear theory of ...

Ph.D. (2004), University of Illinois (Mathematics) M.S. (2004), University of Illinois (Teaching of Mathematics) M.S. (1996), Truman State University (Mathematics) B.S. (1989), Babes-Bolyai University ...

Dependence of Griffith Surface Energy on Crack Speed in Phase-Field Models for Fracture Coupled to Elastodynamics. Vaibhav Agrawal and Kaushik Dayal. Int. J. Fract., 207:243-249, 2017. Leading-Order ...