Linearized Elasticity as Γ‐Limit of Finite Elasticity in the Case of Cracks

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (15 download)

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Book Synopsis Linearized Elasticity as Γ‐Limit of Finite Elasticity in the Case of Cracks by :

Download or read book Linearized Elasticity as Γ‐Limit of Finite Elasticity in the Case of Cracks written by and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linearized Elasticity as Mosco-limit of Finite Elasticity in the Presence of Cracks

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Linearized Elasticity as Mosco-limit of Finite Elasticity in the Presence of Cracks by : Pascal Gussmann

Download or read book Linearized Elasticity as Mosco-limit of Finite Elasticity in the Presence of Cracks written by Pascal Gussmann and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The small-deformation limit of finite elasticity is considered in presence of a given crack. The rescaled finite energies with the constraint of global injectivity are shown to Gamma-converge to the linearized elastic energy with a local constraint of non-interpenetration along the crack.

Topics in Finite Elasticity

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Publisher : SIAM
ISBN 13 : 0898711681
Total Pages : 58 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Topics in Finite Elasticity by : Morton E. Gurtin

Download or read book Topics in Finite Elasticity written by Morton E. Gurtin and published by SIAM. This book was released on 1981-09-01 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a derivation of the basic equations of the theory of finite elasticity.

Finite Elasticity

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ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Finite Elasticity by : American Society of Mechanical Engineers. Applied Mechanics Division

Download or read book Finite Elasticity written by American Society of Mechanical Engineers. Applied Mechanics Division and published by . This book was released on 1977 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Linearized Theory of Elasticity

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Publisher : Springer Science & Business Media
ISBN 13 : 1461200938
Total Pages : 557 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Linearized Theory of Elasticity by : William S. Slaughter

Download or read book The Linearized Theory of Elasticity written by William S. Slaughter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is derived from notes used in teaching a first-year graduate-level course in elasticity in the Department of Mechanical Engineering at the University of Pittsburgh. This is a modern treatment of the linearized theory of elasticity, which is presented as a specialization of the general theory of continuum mechanics. It includes a comprehensive introduction to tensor analysis, a rigorous development of the governing field equations with an emphasis on recognizing the assumptions and approximations in herent in the linearized theory, specification of boundary conditions, and a survey of solution methods for important classes of problems. Two- and three-dimensional problems, torsion of noncircular cylinders, variational methods, and complex variable methods are covered. This book is intended as the text for a first-year graduate course in me chanical or civil engineering. Sufficient depth is provided such that the text can be used without a prerequisite course in continuum mechanics, and the material is presented in such a way as to prepare students for subsequent courses in nonlinear elasticity, inelasticity, and fracture mechanics. Alter natively, for a course that is preceded by a course in continuum mechanics, there is enough additional content for a full semester of linearized elasticity.

Linear Theories of Elasticity and Thermoelasticity

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Publisher : Springer
ISBN 13 : 3662397765
Total Pages : 755 pages
Book Rating : 4.6/5 (623 download)

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Book Synopsis Linear Theories of Elasticity and Thermoelasticity by : Clifford Truesdell

Download or read book Linear Theories of Elasticity and Thermoelasticity written by Clifford Truesdell and published by Springer. This book was released on 2013-12-17 with total page 755 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Finite Elasticity

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Publisher : Springer Science & Business Media
ISBN 13 : 9783211833360
Total Pages : 260 pages
Book Rating : 4.8/5 (333 download)

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Book Synopsis Topics in Finite Elasticity by : Michael Hayes

Download or read book Topics in Finite Elasticity written by Michael Hayes and published by Springer Science & Business Media. This book was released on 2001-06-19 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than fifty years ago, Professor R. S. Rivlin pioneered developments in both the theory and experiments of rubber elasticity. These together with his other fundamental studies contributed to a revitalization of the theory of finite elasticity, which had been dormant, since the basic understanding was completed in the nineteenth century. This book with chapters on foundation, models, universal results, wave propagation, qualitative theory and phase transitions, indicates that the subject he reinvigorated has remainded remarkably vibran and has continued to present significant deep mathematical and experimental challenges.

The Linearized Theory of Elasticity

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Publisher : Springer Science & Business Media
ISBN 13 :
Total Pages : 584 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Linearized Theory of Elasticity by : William S. Slaughter

Download or read book The Linearized Theory of Elasticity written by William S. Slaughter and published by Springer Science & Business Media. This book was released on 2002 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical framework behind the theory is developed in detail, with the assumptions behind the eventual linearization made clear, so that the reader will be adequately prepared for further studies in continuum mechanics, nonlinear elasticity, inelasticity, fracture mechanics and/or finite elements. Prior to linearization, configurations and general measure of strain and stress are discussed. A modern treatment of the theory of tensors and tensor calculus is used. General curvilinear coordinates are described in an appendix.

Introduction to Linear Elasticity

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Publisher : Springer
ISBN 13 : 0387941002
Total Pages : 256 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Introduction to Linear Elasticity by : Phillip L. Gould

Download or read book Introduction to Linear Elasticity written by Phillip L. Gould and published by Springer. This book was released on 1993-12-09 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Crack Problems in the Classical Theory of Elasticity

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Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (41 download)

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Book Synopsis Crack Problems in the Classical Theory of Elasticity by : Ian Naismith Sneddon

Download or read book Crack Problems in the Classical Theory of Elasticity written by Ian Naismith Sneddon and published by John Wiley & Sons. This book was released on 1969 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis and Computation of Microstructure in Finite Plasticity

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Publisher : Springer
ISBN 13 : 3319182420
Total Pages : 266 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Analysis and Computation of Microstructure in Finite Plasticity by : Sergio Conti

Download or read book Analysis and Computation of Microstructure in Finite Plasticity written by Sergio Conti and published by Springer. This book was released on 2015-04-23 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the need for a fundamental understanding of the physical origin, the mathematical behavior and the numerical treatment of models which include microstructure. Leading scientists present their efforts involving mathematical analysis, numerical analysis, computational mechanics, material modelling and experiment. The mathematical analyses are based on methods from the calculus of variations, while in the numerical implementation global optimization algorithms play a central role. The modeling covers all length scales, from the atomic structure up to macroscopic samples. The development of the models ware guided by experiments on single and polycrystals and results will be checked against experimental data.

Advanced Joining Processes

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Publisher : Elsevier
ISBN 13 : 0128208872
Total Pages : 402 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Advanced Joining Processes by : Lucas F. M. da Silva

Download or read book Advanced Joining Processes written by Lucas F. M. da Silva and published by Elsevier. This book was released on 2020-10-31 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Joining Processes: Welding, Plastic Deformation, and Adhesion brings together a range of advanced thermal, mechanical, and chemical methods of joining, offering an up-to-date resource for those looking to understand and utilize the very latest techniques. Efficient joining techniques are critical to a range of innovative applications, with technology in constant development. The first section of the book provides in-depth information on advanced welding techniques, including friction stir, explosive, ultrasonic, laser, electron beam, and computational weld analysis and fatigue of structures. The second section highlights key developments in joining by plastic deformation, adhesive bonding, and hybrid joining. The coverage of each technique is supported by practical guidance, detailed analysis, and finite element simulations. This is an essential reference for researchers and advanced students in joining, welding, adhesion, materials processing, mechanical engineering, plastics engineering, manufacturing, civil engineering, and automotive/aerospace engineering, as well as engineers, scientists, and R&D professionals, using joining, welding, and adhesion methods, across a range of industries. Presents the latest research findings and developments across welding, joining by plastic deformation, and adhesion Includes state-of-the-art methods, such as laser, ultrasonic and electron beam welding, hybrid joining, and the use of electromagnetic pulses Offers practical guidance, detailed analysis, and finite element simulations, for all techniques covered

Non-linear Elastic Deformations

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Publisher :
ISBN 13 :
Total Pages : 556 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Non-linear Elastic Deformations by : R. W. Ogden

Download or read book Non-linear Elastic Deformations written by R. W. Ogden and published by . This book was released on 1984 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Application of theory of finite elasticity to solution of boundary-value problems, analysis of mechanical properties of solid materials capable of large elastic deformations. Problems.

Non-Linear Theory of Elasticity

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Publisher : Elsevier
ISBN 13 : 0444597239
Total Pages : 632 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Non-Linear Theory of Elasticity by : A.I. Lurie

Download or read book Non-Linear Theory of Elasticity written by A.I. Lurie and published by Elsevier. This book was released on 2012-12-02 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines in detail the Theory of Elasticity which is a branch of the mechanics of a deformable solid. Special emphasis is placed on the investigation of the process of deformation within the framework of the generally accepted model of a medium which, in this case, is an elastic body. A comprehensive list of Appendices is included providing a wealth of references for more in depth coverage. The work will provide both a stimulus for future research in this field as well as useful reference material for many years to come.

An Asymptotic Analysis of an Interface-crack Within Finite Elasticity

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Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.:/5 (134 download)

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Book Synopsis An Asymptotic Analysis of an Interface-crack Within Finite Elasticity by : Joseph M. Herrmann

Download or read book An Asymptotic Analysis of an Interface-crack Within Finite Elasticity written by Joseph M. Herrmann and published by . This book was released on 1985 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 892 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Research on the Strength and Fracture of Materials

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Publisher : Elsevier
ISBN 13 : 1483153428
Total Pages : 873 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Advances in Research on the Strength and Fracture of Materials by : D.M.R. Taplin

Download or read book Advances in Research on the Strength and Fracture of Materials written by D.M.R. Taplin and published by Elsevier. This book was released on 2013-10-22 with total page 873 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Research on the Strength and Fracture of Materials: Volume 1s—An Overview contains the proceedings of the Fourth International Conference on Fracture held at the University of Waterloo, Canada, in June 1977. The papers review the state of the art with respect to fracture in a wide range of materials such as metals and alloys, polymers, ceramics, and composites. This volume is comprised of 40 chapters and opens with a discussion on progress in the development of elementary fracture mechanism maps and their application to metal deformation processes, along with micro-mechanisms of fracture and the fracture toughness of engineering alloys. The next section is devoted to the fracture of large-scale structures such as steel structures, aircraft, cargo containment systems, nuclear reactors, and pressure vessels. Fracture at high temperatures and in sensitive environments is then explored, paying particular attention to creep failure by cavitation under non-steady conditions; the effects of hydrogen and impurities on brittle fracture in steel; and mechanism of embrittlement and brittle fracture in liquid metal environments. The remaining chapters consider the fracture of non-metallic materials as well as developments and concepts in the application of fracture mechanics. This book will be of interest to metallurgists, materials scientists, and structural and mechanical engineers.