Results 31 to 40 of about 8,272 (192)
Nearly cloaking the elastic wave fields [PDF]
, 2014 In this work, we develop a general mathematical framework on regularized approximate cloaking of elastic waves governed by the Lam\'e system via the approach of transformation elastodynamics. Our study is rather comprehensive. We first provide a rigorous
Hu, Guanghui, Liu, Hongyu
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Sensors, 2018 Peridynamic based elastodynamic computation tool named Peri-elastodynamics is proposed herein to simulate the three-dimensional (3D) Lamb wave modes in materials for the first time.
Subir Patra +2 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
On cavitation in Elastodynamics [PDF]
, 2012 Motivated by the works of Ball (1982) and Pericak-Spector and Spector (1988), we investigate singular solutions of the compressible nonlinear elastodynamics equations.
Giesselmann, Jan +1 more
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Progressively Projected Newton's Method
Computer Graphics Forum, EarlyView.Abstract Newton's Method is widely used to find the solution of complex non‐linear simulation problems. To guarantee a descent direction, it is common practice to clamp the negative eigenvalues of each element Hessian prior to assembly—a strategy known as Projected Newton (PN)—but this perturbation often hinders convergence.
J. A. Fernández‐Fernández +2 more
wiley +1 more source
The Journal of Physiology, EarlyView.Abstract figure legend Using a multiscale computational model of left ventricular electromechanics, we investigated how sarcomere dynamics influence the end‐systolic pressure‐volume (ESPV) relationship in ejecting beats compared to isovolumetric beats.
Francesco Regazzoni +2 more
wiley +1 more source
Homogenization in elastodynamics with force term depending on time
International Journal of Mathematics and Mathematical Sciences, 2000 We extend the study on the homogenization problem for an elastic material containing a distributed array of gas bubbles to the case when the body force depends on time.
Ping Wang
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Global classical solutions to the elastodynamic equations with damping
Journal of Inequalities and Applications, 2021 In this paper, we show the global existence of classical solutions to the incompressible elastodynamics equations with a damping mechanism on the stress tensor in dimension three for sufficiently small initial data on periodic boxes, that is, with ...
Mengmeng Liu, Xueyun Lin
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“Mixed” Meshless Time-Domain Adaptive Algorithm for Solving Elasto-Dynamics Equations
Mathematics, 2022 A time-domain adaptive algorithm was developed for solving elasto-dynamics problems through a mixed meshless local Petrov-Galerkin finite volume method (MLPG5).
Maoxiong Liao, Tao Zhang, Jinggu Cao
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Modeling seismic wave propagation and amplification in 1D/2D/3D linear and nonlinear unbounded media
, 2010 To analyze seismic wave propagation in geological structures, it is possible to consider various numerical approaches: the finite difference method, the spectral element method, the boundary element method, the finite element method, the finite volume ...
Bard P. Y. +19 more
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