Results 81 to 90 of about 8,272 (192)
Proceedings in Applied Mathematics and Mechanics, Volume 25, Issue 4, December 2025.ABSTRACT Modeling wave propagation in soil using conventional finite element methods necessitates the simulation of extensive spatial domains to prevent reflections at artificial boundaries. Classical absorbing boundary conditions can be used to mitigate this problem, but must be placed at a considerable distance from the area of interest to ensure ...
Tobias Kuhn +2 more
wiley +1 more source
Nonlinear evolution equations for degenerate transverse waves in anisotropic elastic solids
, 2008 Transverse elastic waves behave differently in nonlinear isotropic and anisotropic media. Quadratically nonlinear coupling in the evolution equations for wave amplitudes is not possible in isotropic solids, but such a coupling may occur for certain ...
Andrew N. Norris +4 more
core +1 more source
Fluid-structure interaction in blood flow capturing non-zero longitudinal structure displacement
, 2012 We present a new model and a novel loosely coupled partitioned numerical scheme modeling fluid-structure interaction (FSI) in blood flow allowing non-zero longitudinal displacement.
Ahlgren +79 more
core +1 more source
, 1981 In this chapter some applications of boundary element techniques to dynamic problems are presented. First, the basic theory is briefly reviewed in order to provide the necessary background to interpret the numerical results (for a fuller account of elastodynamic theory we recommend a study of the specialized literature).
Dominguez Abascal, José +1 more
openaire +1 more source
Smoothed particle hydrodynamics modelling of fluids and solids [PDF]
Applied and Computational Mechanics, 2007 The study is concerned about the application of the smoothed particle hydrodynamics (SPH) method within the computational fluid dynamics and elastodynamics.
Lobovský L., Křen J.
doaj
Trefftz polynomials reciprocity based boundary element formulations for elastodynamics
Computer Assisted Methods in Engineering and Science, 2023 In this paper Trefftz polynomials are used for the BEM (Boundary Element Method) based on the reciprocity relations. BEM provides a powerful tool for the calculation of dynamic structural response in the frequency and time domains.
F. Konkol, V. Kompis
doaj
, 2006 There are many different formulations of relativistic elasticity. Most of them are only concerned with formal questions rather than questions regarding the PDE point of view. The aim of this thesis is to obtain various local existence results for dynamical scenarios involving elastic matter.
openaire +2 more sources
Journal of Applied Mathematics, 2007 The three-dimensional linearized theory of elastodynamics mathematical formulation of the forced vibration of a prestretched plate resting on a rigid half-plane is given. The variational formulation of corresponding boundary-value problem is constructed.
M. Eröz, A. Yildiz
doaj +1 more source
Stability of Membrane Elastodynamics with Applications to Cylindrical Aneurysms
Journal of Applied Mathematics, 2011 The enlargement and rupture of intracranial and abdominal aortic aneurysms constitutes a major medical problem. It has been suggested that enlargement and rupture are due to mechanical instabilities of the associated complex fluid-solid interaction in ...
A. Samuelson, P. Seshaiyer
doaj +1 more source
Physics-Constrained Data-Driven Variational Method for Discrepancy Modeling. [PDF]
Comput Methods Appl Mech Eng, 2023 Masud A, Nashar S, Goraya S.
europepmc +1 more source