Selected Problems of Solid Mechanics and Solving Methods

Selected Problems of Solid Mechanics and Solving Methods PDF Author: Holm Altenbach
Publisher: Springer Nature
ISBN: 3031540638
Category :
Languages : en
Pages : 531

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Selected Problems of Solid Mechanics and Solving Methods

Selected Problems of Solid Mechanics and Solving Methods PDF Author: Holm Altenbach
Publisher: Springer Nature
ISBN: 3031540638
Category :
Languages : en
Pages : 531

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Book Description


The Finite Element Method for Solid and Structural Mechanics

The Finite Element Method for Solid and Structural Mechanics PDF Author: O. C. Zienkiewicz
Publisher: Elsevier
ISBN: 0080455581
Category : Technology & Engineering
Languages : en
Pages : 653

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Book Description
This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling. - Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor - New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling

Methods of Fundamental Solutions in Solid Mechanics

Methods of Fundamental Solutions in Solid Mechanics PDF Author: Hui Wang
Publisher: Elsevier
ISBN: 0128182849
Category : Technology & Engineering
Languages : en
Pages : 314

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Book Description
Methods of Fundamental Solutions in Solid Mechanics presents the fundamentals of continuum mechanics, the foundational concepts of the MFS, and methodologies and applications to various engineering problems. Eight chapters give an overview of meshless methods, the mechanics of solids and structures, the basics of fundamental solutions and radical basis functions, meshless analysis for thin beam bending, thin plate bending, two-dimensional elastic, plane piezoelectric problems, and heat transfer in heterogeneous media. The book presents a working knowledge of the MFS that is aimed at solving real-world engineering problems through an understanding of the physical and mathematical characteristics of the MFS and its applications. - Explains foundational concepts for the method of fundamental solutions (MFS) for the advanced numerical analysis of solid mechanics and heat transfer - Extends the application of the MFS for use with complex problems - Considers the majority of engineering problems, including beam bending, plate bending, elasticity, piezoelectricity and heat transfer - Gives detailed solution procedures for engineering problems - Offers a practical guide, complete with engineering examples, for the application of the MFS to real-world physical and engineering challenges

Applied Mechanics of Solids

Applied Mechanics of Solids PDF Author: Allan F. Bower
Publisher: CRC Press
ISBN: 1439802483
Category : Science
Languages : en
Pages : 822

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Book Description
Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o

Mechanics of Solids and Structures, Second Edition

Mechanics of Solids and Structures, Second Edition PDF Author: Roger T. Fenner
Publisher: CRC Press
ISBN: 1439858144
Category : Technology & Engineering
Languages : en
Pages : 707

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Book Description
A popular text in its first edition, Mechanics of Solids and Structures serves as a course text for the senior/graduate (fourth or fifth year) courses/modules in the mechanics of solid/advanced strength of materials, offered in aerospace, civil, engineering science, and mechanical engineering departments. Now, Mechanics of Solid and Structure, Second Edition presents the latest developments in computational methods that have revolutionized the field, while retaining all of the basic principles and foundational information needed for mastering advanced engineering mechanics. Key changes to the second edition include full-color illustrations throughout, web-based computational material, and the addition of a new chapter on the energy methods of structural mechanics. Using authoritative, yet accessible language, the authors explain the construction of expressions for both total potential energy and complementary potential energy associated with structures. They explore how the principles of minimal total potential energy and complementary energy provide the means to obtain governing equations of the structure, as well as a means to determine point forces and displacements with ease using Castigliano’s Theorems I and II. The material presented in this chapter also provides a deeper understanding of the finite element method, the most popular method for solving structural mechanics problems. Integrating computer techniques and programs into the body of the text, all chapters offer exercise problems for further understanding. Several appendices provide examples, answers to select problems, and opportunities for investigation into complementary topics. Listings of computer programs discussed are available on the CRC Press website.

Intermediate Solid Mechanics

Intermediate Solid Mechanics PDF Author: Marko V. Lubarda
Publisher: Cambridge University Press
ISBN: 1108603424
Category : Science
Languages : en
Pages : 501

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Book Description
Based on class-tested material, this concise yet comprehensive treatment of the fundamentals of solid mechanics is ideal for those taking single-semester courses on the subject. It provides interdisciplinary coverage of the key topics, combining solid mechanics with structural design applications, mechanical behavior of materials, and the finite element method. Part I covers basic theory, including the analysis of stress and strain, Hooke's law, and the formulation of boundary-value problems in Cartesian and cylindrical coordinates. Part II covers applications, from solving boundary-value problems, to energy methods and failure criteria, two-dimensional plane stress and strain problems, antiplane shear, contact problems, and much more. With a wealth of solved examples, assigned exercises, and 130 homework problems, and a solutions manual available online, this is ideal for senior undergraduates studying solid mechanics, and graduates taking introductory courses in solid mechanics and theory of elasticity, across aerospace, civil and mechanical engineering, and materials science.

The Finite Element Method: Solid mechanics

The Finite Element Method: Solid mechanics PDF Author: O. C. Zienkiewicz
Publisher: Butterworth-Heinemann
ISBN: 9780750650557
Category : Continuum mechanics
Languages : en
Pages : 482

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Book Description


Applied Solid Mechanics

Applied Solid Mechanics PDF Author: Peter Howell
Publisher: Cambridge University Press
ISBN: 052185489X
Category : Mathematics
Languages : en
Pages : 467

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Book Description
Emphasises the power of mathematics to provide quantitative insights across the whole area of solid mechanics; accessible and comprehensive.

Problems of Nonlinear Deformation

Problems of Nonlinear Deformation PDF Author: E.I. Grigolyuk
Publisher: Springer Science & Business Media
ISBN: 9780792309475
Category : Technology & Engineering
Languages : en
Pages : 286

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Book Description
Interest in nonlinear problems in mechanics has been revived and intensified by the capacity of digital computers. Consequently, a question offundamental importance is the development of solution procedures which can be applied to a large class of problems. Nonlinear problems with a parameter constitute one such class. An important aspect of these problems is, as a rule, a question of the variation of the solution when the parameter is varied. Hence, the method of continuing the solution with respect to a parameter is a natural and, to a certain degree, universal tool for analysis. This book includes details of practical problems and the results of applying this method to a certain class of nonlinear problems in the field of deformable solid mechanics. In the Introduction, two forms of the method are presented, namely continu ous continuation, based on the integration of a Cauchy problem with respect to a parameter using explicit schemes, and discrete continuation, implementing step wise processes with respect to a parameter with the iterative improvement of the solution at each step. Difficulties which arise in continuing the solution in the neighbourhood of singular points are discussed and the problem of choosing the continuation parameter is formulated.

Solid Mechanics: a Variational Approach

Solid Mechanics: a Variational Approach PDF Author: Clive L. Dym
Publisher: McGraw-Hill Companies
ISBN:
Category : Mathematics
Languages : en
Pages : 594

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Book Description