Results 121 to 130 of about 3,049 (178)
We elucidate a rigorous mathematical isomorphism establishing that the asymptotic thresholds of macroscopic gravitational involution and microscopic neuro-cognitive signal bandwidth are deterministically constrained by an identical topological boundary condition: the Metric Stiffness Modulus, codified formally as the Elizabeth Constant (Ec).
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ON THE ELASTODYNAMICS OF THIN MICROPERIODIC PLATES
, 1995 The aim of this paper is to propose and investigate a new modelling approach to thin elastic plates having micro-periodic structure in planes parallel to the midplane. The main feature of this approach is that it describes the effect of the microstructure length dimensions on the macro-behaviour of the plate.
Jȩdrysiak, Jarosław +1 more
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Hamilton, Ritz, and Elastodynamics
Journal of Applied Mechanics, 1976 The 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
C. D. Bailey
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Elastodynamic Analysis:Lecture notes for the course“Elastodynamics”
, 2004 This book contains the lecture notes for the 9th semester course on elastodynamics. The first chapter gives an overview of the basic theory of stress waves propagating in viscoelastic media. In particular, the effect of surfaces and interfaces in a viscoelastic material is studied, and different mechanisms influencing the wave propagation are discussed.
Andersen, Lars
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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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Solving elastodynamics via physics-informed neural network frequency domain method [PDF]
International Journal of Mechanical Sciences, 2023 Despite the fact that physics-informed neural networks (PINN) have been developed rapidly in recent years, their inherent spectral bias makes it difficult to approximate multi-frequency target functions such as the solutions to elastodynamics problems ...
Weifeng Liu, Xiangyu Qu, Ruihua Liang
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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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Crack Propagation in Finite Elastodynamics
Mathematics and Mechanics of Solids, 2005 Within the framework of finite elastodynamics, a crack propagation analysis, for sheets of compressible hyperelastic material, is formulated. By exploiting a dynamic generalization of the Stephenson's result, general far-field loading conditions are ...
Angelo Marcello Tarantino
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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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