Results 131 to 140 of about 486 (187)
Causality and passivity in elastodynamics [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2015 What are the constraints placed on the constitutive tensors of elastodynamics by the requirements that the linear elastodynamic system under consideration be both causal (effects succeed causes) and passive (system does not produce energy)? The analogous question has been tackled in other areas but in the case of elastodynamics its treatment is ...
Ankit Srivastava
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The Gardner Equation in Elastodynamics
SIAM Journal on Applied Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Giuseppe Maria Coclite +4 more
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2021
The goal of this chapter is to show how the HHO method can be used for the space semi-discretization of the elastic wave equation. For simplicity, we restrict the scope to media undergoing infinitesimal deformations and governed by a linear stress-strain constitutive relation.
Cicuttin M., Ern A., Pignet N.
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The goal of this chapter is to show how the HHO method can be used for the space semi-discretization of the elastic wave equation. For simplicity, we restrict the scope to media undergoing infinitesimal deformations and governed by a linear stress-strain constitutive relation.
Cicuttin M., Ern A., Pignet N.
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ACM Transactions on Graphics, 2013
We present a novel approach for simulating thin hyperelastic skin. Real human skin is only a few millimeters thick. It can stretch and slide over underlying body structures such as muscles, bones, and tendons, revealing rich details of a moving character.
Duo Li +3 more
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We present a novel approach for simulating thin hyperelastic skin. Real human skin is only a few millimeters thick. It can stretch and slide over underlying body structures such as muscles, bones, and tendons, revealing rich details of a moving character.
Duo Li +3 more
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Bulletin of the Seismological Society of America, 1971
abstract The problem of wave propagation in an elastic wedge of arbitrary angle has defied standard mathematical approaches, and no analytical solution has been given, although respectable approximations are available. We give here a new approach to the problem of the response of an elastic wedge to dynamically-varying surface tractions,
George Z. Forristall, John D. Ingram
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abstract The problem of wave propagation in an elastic wedge of arbitrary angle has defied standard mathematical approaches, and no analytical solution has been given, although respectable approximations are available. We give here a new approach to the problem of the response of an elastic wedge to dynamically-varying surface tractions,
George Z. Forristall, John D. Ingram
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Boundary Integrals in Elastodynamics
IMA Journal of Applied Mathematics, 1985(From the summary.) Surface integral equations with a unique solution are derived for the exterior problem for the harmonic waves of elastodynamics. The order of singularities of the kernel is reduced by transformations which are relevant to treatments in which the surface is subdivided into patches.
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A UNIQUENESS THEOREM IN ELASTODYNAMICS
The Quarterly Journal of Mechanics and Applied Mathematics, 1984The present paper is concerned with the uniqueness theorems for harmonic elastic waves in isotropic, but inhomogeneous, bodies. The proof methods are based on the use of some integral inequalities and on some regularity conditions imposed to the material constants.
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Hamilton, Ritz, and Elastodynamics
Journal of Applied Mechanics, 1976The theory of Ritz is applied to the equation that Hamilton called the “Law of Varying Action.” Direct analytical solutions are obtained for the transient motion of beams, both conservative and nonconservative. The results achieved are compared to exact solutions obtained by the use of rigorously exact free-vibration modes in the differential equations
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Tensorial elastodynamics for isotropic media
Geophysics, 2020ABSTRACT Numerical solutions of 3D isotropic elastodynamics form the key computational kernel for many isotropic elastic reverse time migration and full-waveform inversion applications. However, real-life scenarios often require computing solutions for computational domains characterized by non-Cartesian geometry (e.g., free-surface ...
Tugrul Konuk, Jeffrey Shragge
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The Journal of Chemical Physics, 1982
The mechanical properties of gels are analyzed in terms of models which treat the three-dimensional displacements of the solid and fluid parts separately and on an equal footing, with no assumptions regarding smallness of concentration or even weakness of the solid skeleton frame.
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The mechanical properties of gels are analyzed in terms of models which treat the three-dimensional displacements of the solid and fluid parts separately and on an equal footing, with no assumptions regarding smallness of concentration or even weakness of the solid skeleton frame.
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