Dynamics of Linear Elastic Bodies

Dynamics of Linear Elastic Bodies
Author: P. P. Teodorescu
Publisher: Abacus Press
Total Pages: 420
Release: 1975
Genre: Science
ISBN:

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Nonlinear Dynamics of Elastic Bodies

Nonlinear Dynamics of Elastic Bodies
Author: Z. Wesolowski
Publisher: Springer
Total Pages: 214
Release: 2014-05-04
Genre: Science
ISBN: 3709127467

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Dynamics of Thin Walled Elastic Bodies

Dynamics of Thin Walled Elastic Bodies
Author: J. D. Kaplunov
Publisher: Elsevier
Total Pages: 241
Release: 2012-12-02
Genre: Science
ISBN: 0080504868

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Written by a well-known group of researchers from Moscow, this book is a study of the asymptotic approximations of the 3-D dynamical equations of elasticity in the case of thin elastic shells of an arbitrary shape. Vibration of shells is a very useful theory in space techniques, submarine detection, and other high-tech domains. Dynamics of Thin Walled Elastic Bodies shows that refined shell theories used in engineering practice give a distorted picture of the high-frequency or non-stationary dynamics of shells, and offers new, mathematically more consistent ways of describing the dynamics of shells. Studies the asymptotic approximations of the 3-D dynamical equations of elasticity Vibration of shells is a very useful theory in space techniques, submarine detection, and other high-tech domains Shows that refined shell theories used in engineering practice give a distorted picture of the high-frequency or non-stationary dynamics of shells Offers new, mathematically more consistent ways of describing the dynamics of shells

Introduction to Linear Elasticity

Introduction to Linear Elasticity
Author: Phillip L. Gould
Publisher: Springer
Total Pages: 395
Release: 2018-07-23
Genre: Science
ISBN: 3319738852

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This augmented and updated fourth edition introduces a new complement of computational tools and examples for each chapter and continues to provide a grounding in the tensor-based theory of elasticity for students in mechanical, civil, aeronautical and biomedical engineering and materials and earth science. Professor Gould’s proven approach allows faculty to introduce this subject early on in an educational program, where students are able to understand and apply the basic notions of mechanics to stress analysis and move on to advanced work in continuum mechanics, plasticity, plate and shell theory, composite materials and finite element mechanics. With the introductory material on the use of MATLAB, students can apply this modern computational tool to solve classic elasticity problems. The detailed solutions of example problems using both analytical derivations and computational tools helps student to grasp the essence of elasticity and practical skills of applying the basic mechanics theorem.

Mathematical Problems in Elasticity

Mathematical Problems in Elasticity
Author: Remigio Russo
Publisher: World Scientific
Total Pages: 340
Release: 1996
Genre: Mathematics
ISBN: 9789810225766

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In this volume, five papers are collected that give a good sample of the problems and the results characterizing some recent trends and advances in this theory. Some of them are devoted to the improvement of a general abstract knowledge of the behavior of elastic bodies, while the others mainly deal with more applicative topics.

Dynamics of Pre-Strained Bi-Material Elastic Systems

Dynamics of Pre-Strained Bi-Material Elastic Systems
Author: Surkay D. Akbarov
Publisher: Springer
Total Pages: 1018
Release: 2015-02-11
Genre: Science
ISBN: 331914460X

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This book deals with dynamics of pre-stressed or pre-strained bi-material elastic systems consisting of stack of pre-stressed layers, stack of pre-stressed layers and pre-stressed half space (or half plane), stack of pre-stressed layers as well as absolute rigid foundation, pre-stressed compound solid and hollow cylinders and pre-stressed sandwich hollow cylinders. The problems considered in the book relate to the dynamics of a moving and oscillating moving load, forced vibration caused by linearly located or point located time-harmonic forces acting to the foregoing systems. Moreover, a considerable part of the book relate to the problems regarding the near surface, torsional and axisymmetric longitudinal waves propagation and dispersion in the noted above bi-material elastic systems. The book carries out the investigations within the framework of the piecewise homogeneous body model with the use of the Three-Dimensional Linearized Theory of Elastic Waves in Initially Stressed Bodies.

Introduction to Linear Elasticity

Introduction to Linear Elasticity
Author: Phillip L. Gould
Publisher: Springer
Total Pages: 256
Release: 1993-12-09
Genre: Technology & Engineering
ISBN: 0387941002

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This applications-oriented introduction fills an important gap in the field of solid mechanics. Offering a thorough grounding in the tensor-based theory of elasticity for courses in mechanical, civil, materials or aeronautical engineering, it allows students to apply the basic notions of mechanics to such important topics as stress analysis. Further, they will also acquire the necessary background for more advanced work in elasticity, plasticity, shell theory, composite materials and finite element mechanics. This second edition features new chapters on the bending of thin plates, time-dependent effects, and strength and failure criteria.

Advanced Mechanics of Materials and Applied Elasticity

Advanced Mechanics of Materials and Applied Elasticity
Author: Anthony E. Armenakas
Publisher: CRC Press
Total Pages: 987
Release: 2016-04-19
Genre: Science
ISBN: 1420057774

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This book presents both differential equation and integral formulations of boundary value problems for computing the stress and displacement fields of solid bodies at two levels of approximation - isotropic linear theory of elasticity as well as theories of mechanics of materials. Moreover, the book applies these formulations to practical solutions

Dynamics of Linear Elastic Structures

Dynamics of Linear Elastic Structures
Author: Ralph E. Blake
Publisher:
Total Pages: 26
Release: 1954
Genre:
ISBN:

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The response of an elastic structure to a shock motion of its foundation is developed. The expression for the stress at a point is derived and it is seen that the shock spectrum is the best available measure of the severity of a shock because the shock spectrum shows the effect of the shock motion on the stress.