Results 91 to 100 of about 3,049 (178)

Finite Element Formulation of Forced Vibration Problem of a Prestretched Plate Resting on a Rigid Foundation

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
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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
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Quasiconvex elastodynamics: weak-strong uniqueness for measure-valued solutions

, 2019
A weak-strong uniqueness result is proved for measure-valued solutions to the system of conservation laws arising in elastodynamics. The main novelty brought forward by the present work is that the underlying stored-energy function of the material is ...
Konstantinos Koumatos (4467496), Stefano Spirito (16039544)   +1 more
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A Riemann problem with small viscosity and dispersion

Electronic Journal of Differential Equations, 2006
In this paper we prove existence of global solutions to a hyperbolic system in elastodynamics, with small viscosity and dispersion terms and derive estimates uniform in the viscosity-dispersion parameters.
Kayyunnapara Thomas Joseph
doaj  

Transient Response of a Fluid-Filled, Thick-Walled Spherical Shell Embedded in an Elastic Medium

E3S Web of Conferences, 2016
The paper addresses the problem of transient elastodynamics analysis of a thick-walled, fluid-filled spherical shell embedded in an elastic medium with an analytical approach.
Bahari Ako, Lefeuve-Mesgouez Gaëlle, Mesgouez Arnaud, Popplewell Neil   +3 more
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The KP Equation of Plane Elastodynamics

SIAM Journal on Applied Mathematics
The propagation of nonlinear and dispersive waves in various materials can be described by the well-known Kadomtsev-Petviashvili (KP) equation, which is a (2+1)-dimensional partial differential equation. In this paper, we show that the KP equation can be used to describe the in-plane motion of compressible elastic solids with dispersion. Furthermore, a
Harold Berjamin, Michel Destrade, Giuseppe Saccomandi   +2 more
openaire   +5 more sources

Exact solutions of a nonconservative system in elastodynamics

Electronic Journal of Differential Equations, 2015
In this article we find an explicit formula for solutions of a nonconservative system when the initial data lies in the level set of one of the Riemann invariants.
Kayyunnapara Thomas Joseph
doaj  

On anisotropic versions of three-dimensional pentamode metamaterials

New Journal of Physics, 2013
Pentamode materials are artificial solids with elastic properties that approximate those of isotropic liquids. The corresponding three-dimensional mechanical metamaterials or ‘meta-liquids’ have recently been fabricated.
Muamer Kadic, Tiemo Bückmann, Robert Schittny, Martin Wegener   +3 more
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A software benchmark for cardiac elastodynamics

Data used in the article: "A software benchmark for cardiac elastodynamics" by Arostica et al, Computer Methods in Applied Mechanics and Engineering.
Mathias, Peirlinck, Henrik, Finsberg, Gernot, Plank, Vijay, Vedula, University of Michigan, Marc, Hirschvogel, Alison, Marsden, Elias, Karabelas, Delft University of Technology, Medical University of Graz, Pasquale Claudio, Africa, Matthias, Gsell, Matteo, Salvador, Simula Research Laboratory, Aaron, Brown, Computational and Numerical Mathematics, Polytechnic University of Milan, Joakim, Sundnes, University of Graz, Roberto, Piersanti, Stanford University, Kasra, Osouli, Technical University of Munich, Martin, Pfaller, Lei, Shi, Amadeus, Gebauer, Francesco, Regazzoni, Arostica Barrera, R.A.; id_orcid, Bertoglio, Cristobal; id_orcid, Columbia University, Nolte, David, Luca, Dede', Michele, Bucelli, Christoph, Augustin, Javiera, Jilberto, Wolfgang, Wall, David, Nordsletten   +36 more
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Some stability results in the linear theory of anisotropic elastodynamics

, 1976
Conditions are established to ensure continuous data dependence for classical solutions of certain initial-boundary value problems in linearised anisotropic elastodynamics. Two uniqueness theorems are also presented.
Beevers, C. E.
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