Nonlinear Finite Elements for Continua and Structures 2nd Edition, Ted Belytschko et al

Автор: Slawinski M. A.
Название: Waves and Rays in Elastic Continua
ISBN: 9814641758 ISBN-13(EAN): 9789814641753
Издательство: World Scientific Publishing
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Описание: The present book — which is the third, significantly revised edition of the textbook originally published by Elsevier Science — emphasizes the interdependence of mathematical formulation and physical meaning in the description of seismic phenomena. Herein, we use aspects of continuum mechanics, wave theory and ray theory to explain phenomena resulting from the propagation of seismic waves.The book is divided into three main sections: Elastic Continua, Waves and Rays and Variational Formulation of Rays. There is also a fourth part, which consists of appendices.In Elastic Continua, we use continuum mechanics to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such a material. In Waves and Rays, we use these equations to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua. To solve the equations of motion in anisotropic inhomogeneous continua, we invoke the concept of a ray. In Variational Formulation of Rays, we show that, in elastic continua, a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary traveltime. Consequently, many seismic problems in elastic continua can be conveniently formulated and solved using the calculus of variations. In the Appendices, we describe two mathematical concepts that are used in the book; namely, homogeneity of a function and Legendre's transformation. This section also contains a list of symbols.

Автор: Gurtin
Название: The Mechanics and Thermodynamics of Continua
ISBN: 1107617065 ISBN-13(EAN): 9781107617063
Издательство: Cambridge Academ
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Описание: A consolidated treatment of continuum mechanics and thermodynamics that stresses the universal status of the basic balances and the entropy imbalance. The Mechanics and Thermodynamics of Continua is written for engineers, physicists and mathematicians.

Автор: Hutter Kolumban Et Al
Название: From Waves In Complex Systems To Dynamics Of Generalized Continua: Tributes To Professor Yih-Hsing Pao On His 80Th Birthday
ISBN: 9814340715 ISBN-13(EAN): 9789814340717
Издательство: World Scientific Publishing
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Описание: Reviews research activities in applied mechanics and applied mathematics such as the fields of solid and fluid constitutive modeling for coupled fields, applications of geophysical and environmental context in judicious numerical-computational implementations.

Автор: Slawinski Michael
Название: Waves And Rays In Elastic Continua
ISBN: 9814289000 ISBN-13(EAN): 9789814289009
Издательство: World Scientific Publishing
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Описание: Emphasizes the interdependence of mathematical formulation and physical meaning in the description of seismic phenomena. This work uses continuum mechanics to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such a material.

Автор: G?rard A. Maugin; Andrei V. Metrikine
Название: Mechanics of Generalized Continua
ISBN: 1461425743 ISBN-13(EAN): 9781461425748
Издательство: Springer
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Описание: In their 1909 publication Theorie des corps deformables, Eugene and Francois Cosserat made a historic contribution to materials science by establishing the fundamental principles of the mechanics of generalized continua. The chapters collected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers.