Results 161 to 170 of about 8,350 (213)
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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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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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Elastodynamic Problem Formulation
2016This chapter presents the basic formulation for the elastodynamic field equations and the ensuing BVPs for inhomogeneous 2D domains. Furthermore, this formulation is extended in domains with discrete heterogeneities, which includes cavities, inclusions, and cracks.
George D. Manolis +3 more
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Elastodynamic Analysis:Lecture notes for the course“Elastodynamics”
2004This 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.
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1978
The notion of a continuous body is a primitive concept. A continuous body can be put in one-to-one correspondence with regions of the Euclidean space; more exactly, with family of such regions. Each of these regions is called a configuration of the body.
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The notion of a continuous body is a primitive concept. A continuous body can be put in one-to-one correspondence with regions of the Euclidean space; more exactly, with family of such regions. Each of these regions is called a configuration of the body.
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1965
The mathematical formulation and evaluation of the radiation field for general elastodynamic sources is given and applications of the theory to the description of source fields of geophysical interest are treated. The study was primarily undertaken to provide a theoretical basis for estimating the properties of the tectonic stress field and parameters ...
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The mathematical formulation and evaluation of the radiation field for general elastodynamic sources is given and applications of the theory to the description of source fields of geophysical interest are treated. The study was primarily undertaken to provide a theoretical basis for estimating the properties of the tectonic stress field and parameters ...
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Stimuli-responsive metamaterials with information-driven elastodynamics programming
Matter, 2022Chong Li, Zhike Peng, Qingbo He
exaly
Elastodynamic Contact Problems
2018If the loads on an elastic body change in time, the resulting elastic displacements \(\varvec{u}(t)\) will imply local accelerations \(\ddot{\varvec{u}}(t)\), which should be taken into account in the equations of motion.
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