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Variational Principles in Thermo- and Magneto-Elasticity

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Release : 2014-09-01
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Kind : eBook
Book Rating : 425/5 ( reviews)

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Book Synopsis Variational Principles in Thermo- and Magneto-Elasticity by : Heinz Parkus

Download or read book Variational Principles in Thermo- and Magneto-Elasticity written by Heinz Parkus. This book was released on 2014-09-01. Available in PDF, EPUB and Kindle. Book excerpt:

Variational Principles in Thermo- and Magneto-Elasticity

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Release : 2014-05-04
Genre : Technology & Engineering
Kind : eBook
Book Rating : 419/5 ( reviews)

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Book Synopsis Variational Principles in Thermo- and Magneto-Elasticity by : Heinz Parkus

Download or read book Variational Principles in Thermo- and Magneto-Elasticity written by Heinz Parkus. This book was released on 2014-05-04. Available in PDF, EPUB and Kindle. Book excerpt:

Energy Principles and Variational Methods in Applied Mechanics

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Release : 2017-07-21
Genre : Technology & Engineering
Kind : eBook
Book Rating : 392/5 ( reviews)

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Book Synopsis Energy Principles and Variational Methods in Applied Mechanics by : J. N. Reddy

Download or read book Energy Principles and Variational Methods in Applied Mechanics written by J. N. Reddy. This book was released on 2017-07-21. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to using energy principles and variational methods for solving problems in solid mechanics This book provides a systematic, highly practical introduction to the use of energy principles, traditional variational methods, and the finite element method for the solution of engineering problems involving bars, beams, torsion, plane elasticity, trusses, and plates. It begins with a review of the basic equations of mechanics, the concepts of work and energy, and key topics from variational calculus. It presents virtual work and energy principles, energy methods of solid and structural mechanics, Hamilton’s principle for dynamical systems, and classical variational methods of approximation. And it takes a more unified approach than that found in most solid mechanics books, to introduce the finite element method. Featuring more than 200 illustrations and tables, this Third Edition has been extensively reorganized and contains much new material, including a new chapter devoted to the latest developments in functionally graded beams and plates. Offers clear and easy-to-follow descriptions of the concepts of work, energy, energy principles and variational methods Covers energy principles of solid and structural mechanics, traditional variational methods, the least-squares variational method, and the finite element, along with applications for each Provides an abundance of examples, in a problem-solving format, with descriptions of applications for equations derived in obtaining solutions to engineering structures Features end-of-the-chapter problems for course assignments, a Companion Website with a Solutions Manual, Instructor's Manual, figures, and more Energy Principles and Variational Methods in Applied Mechanics, Third Edition is both a superb text/reference for engineering students in aerospace, civil, mechanical, and applied mechanics, and a valuable working resource for engineers in design and analysis in the aircraft, automobile, civil engineering, and shipbuilding industries.

Variational Principles of Theory of Elasticity with Applications

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Author :
Release : 1984
Genre : Science
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Variational Principles of Theory of Elasticity with Applications by : Haichang Hu

Download or read book Variational Principles of Theory of Elasticity with Applications written by Haichang Hu. This book was released on 1984. Available in PDF, EPUB and Kindle. Book excerpt:

Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells

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Release : 2023-10-13
Genre : Technology & Engineering
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Book Synopsis Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells by : Francesco Tornabene

Download or read book Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells written by Francesco Tornabene. This book was released on 2023-10-13. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to present in depth several Higher-order Shear Deformation Theories (HSDTs) by means of a unified approach for studying the Hygro-Thermo-Magneto-Electro- Elastic Theory of Anisotropic Doubly-Curved Shells. In particular, a general coupled multifield theory regarding anisotropic shell structures is provided. The three-dimensional multifield problem is reduced in a two-dimensional one following the principles of the Equivalent Single Layer (ESL) approach and the Equivalent Layer-Wise (ELW) approach, setting a proper configuration model. According to the adopted configuration assumptions, several Higher-order Shear Deformation Theories (HSDTs) are obtained. Furthermore, the strong and weak formulations of the corresponding governing equations are discussed and illustrated. The approach presented in this volume is completely general and represents a valid tool to investigate the physical behavior of many arbitrarily shaped structures. An isogeometric mapping procedure is also illustrated to this aim. Special attention is given also to advanced and innovative constituents, such as Carbon Nanotubes (CNTs), Variable Angle Tow (VAT) composites and Functionally Graded Materials (FGMs). In addition, several numerical applications are used to support the theoretical models. Accurate, efficient and reliable numerical techniques able to approximate both derivatives and integrals are considered, which are respectively the Differential Quadrature (DQ) and Integral Quadrature (IQ) methods. The Theory of Composite Thin Shells is derived in a simple and intuitive manner from the theory of thick and moderately thick shells (First-order Shear Deformation Theory or Reissner- Mindlin Theory). In particular, the Kirchhoff-Love Theory and the Membrane Theory for composite shells are shown. Furthermore, the Theory of Composite Arches and Beams is also exposed. In particular, the equations of the Timoshenko Theory and the Euler-Bernoulli Theory are directly deducted from the equations of singly-curved shells of translation and of plates.

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