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Convergence Accuracy And Stability Of Finite Element Approximations Of A Class Of Nonlinear Hyperbolic Equations
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Book Synopsis An Introduction to the Mathematical Theory of Finite Elements by : J. T. Oden
Download or read book An Introduction to the Mathematical Theory of Finite Elements written by J. T. Oden and published by Courier Corporation. This book was released on 2012-05-23 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations. J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples.
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 1991 with total page 1460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Download or read book The Shock and Vibration Digest written by and published by . This book was released on 1973 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1973 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Solid Mechanics by : Adnan Ibrahimbegovic
Download or read book Nonlinear Solid Mechanics written by Adnan Ibrahimbegovic and published by Springer Science & Business Media. This book was released on 2009-04-02 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a recipe for constructing the numerical models for representing the complex nonlinear behavior of structures and their components, represented as deformable solid bodies. Its appeal extends to those interested in linear problems of mechanics.
Book Synopsis Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics by : Shen R. Wu
Download or read book Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics written by Shen R. Wu and published by John Wiley & Sons. This book was released on 2012-07-30 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic introduction to the theories and formulations of the explicit finite element method As numerical technology continues to grow and evolve with industrial applications, understanding the explicit finite element method has become increasingly important, particularly in the areas of crashworthiness, metal forming, and impact engineering. Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics is the first book to address specifically what is now accepted as the most successful numerical tool for nonlinear transient dynamics. The book aids readers in mastering the explicit finite element method and programming code without requiring extensive background knowledge of the general finite element. The authors present topics relating to the variational principle, numerical procedure, mechanical formulation, and fundamental achievements of the convergence theory. In addition, key topics and techniques are provided in four clearly organized sections: • Fundamentals explores a framework of the explicit finite element method for nonlinear transient dynamics and highlights achievements related to the convergence theory • Element Technology discusses four-node, three-node, eight-node, and two-node element theories • Material Models outlines models of plasticity and other nonlinear materials as well as the mechanics model of ductile damage • Contact and Constraint Conditions covers subjects related to three-dimensional surface contact, with examples solved analytically, as well as discussions on kinematic constraint conditions Throughout the book, vivid figures illustrate the ideas and key features of the explicit finite element method. Examples clearly present results, featuring both theoretical assessments and industrial applications. Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics is an ideal book for both engineers who require more theoretical discussions and for theoreticians searching for interesting and challenging research topics. The book also serves as an excellent resource for courses on applied mathematics, applied mechanics, and numerical methods at the graduate level.
Book Synopsis Nonlinear Dynamics of Structures Under Extreme Transient Loads by : Adnan Ibrahimbegovic
Download or read book Nonlinear Dynamics of Structures Under Extreme Transient Loads written by Adnan Ibrahimbegovic and published by CRC Press. This book was released on 2019-05-21 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: The effect of combined extreme transient loadings on a structure is not well understood—whether the source is man-made, such as an explosion and fire, or natural, such as an earthquake or extreme wind loading. A critical assessment of current knowledge is timely (with Fukushima-like disasters or terrorist threats). The central issue in all these problems is structural integrity, along with their transient nature, their unexpectedness, and often the uncertainty behind their cause. No single traditional scientific discipline provides complete answers, rather, a number of tools need to be brought together: nonlinear dynamics, probability theory, some understanding of the physical nature of the problem, as well as modeling and computational techniques for representing inelastic behavior mechanisms. Nonlinear Dynamics of Structures Under Extreme Transient Loads covers model building for different engineering structures and provides detailed presentations of extreme loading conditions. A number of illustrations are given quantifying; a plane crash or explosion induced impact loading, the effects of strong earthquake motion, and the impact and long-duration effects of strong stormy winds—along with a relevant framework for using modern computational tools. The book considers the levels of reserve in existing structures, and ways of reducing the negative impact of high-risk situations by employing sounder design procedures.
Book Synopsis Finite Elements in Nonlinear Mechanics by :
Download or read book Finite Elements in Nonlinear Mechanics written by and published by . This book was released on 1978 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Shock and Vibration Computer Programs by : Barbara Pilkey
Download or read book Shock and Vibration Computer Programs written by Barbara Pilkey and published by . This book was released on 1975 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Memorandum written by and published by . This book was released on with total page 1026 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mechanics Today by : S. Nemat-Nasser
Download or read book Mechanics Today written by S. Nemat-Nasser and published by . This book was released on 1975 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis 32nd AIAA Fluid Dynamics Conference and Exhibit by :
Download or read book 32nd AIAA Fluid Dynamics Conference and Exhibit written by and published by . This book was released on 2002 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Bibliography for Finite Elements by : John Robert Whiteman
Download or read book A Bibliography for Finite Elements written by John Robert Whiteman and published by . This book was released on 1975 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advanced Structural Dynamics by : Jean Donéa
Download or read book Advanced Structural Dynamics written by Jean Donéa and published by Elsevier Science & Technology. This book was released on 1980 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of the ... Congress of the Indian Society of Theoretical and Applied Mechanics by : Indian Society of Theoretical and Applied Mechanics. Congress
Download or read book Proceedings of the ... Congress of the Indian Society of Theoretical and Applied Mechanics written by Indian Society of Theoretical and Applied Mechanics. Congress and published by . This book was released on 1977 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Journal of Applied Mechanics written by and published by . This book was released on 1975 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publishes original research in all branches of mechanics including aerodynamics; aeroelasticity; boundary layers; computational mechanics; constitutive modeling of materials; dynamics; elasticity; flow and fracture; heat transfer; hydraulics; impact; internal flow; mechanical properties of materials; micromechanics; plasticity; stress analysis; structures; thermodynamics; turbulence; vibration; and wave propagation.
Book Synopsis Computational Methods in Contact Mechanics V by : Jose Dominguez
Download or read book Computational Methods in Contact Mechanics V written by Jose Dominguez and published by Computational Mechanics. This book was released on 2001 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineering fields such as fracture mechanics, fatigue, friction and wear, contact mechanics, and damage are closely related and responsible for the reliability and durability of mechanical systems. The importance of contact mechanics problems - complex, time dependent and highly non-linear problems due to changes in the geometry and friction over contact surfaces - has been established in recent years, while the development of modern computational methods means that it now possible to solve complex problems for which there are no analytical solutions.