Contact Problems in Elasticity

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Release : 1988-01-01
Genre : Science
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Book Rating : 845/5 ( reviews)

Contact Problems in Elasticity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Contact Problems in Elasticity write by N. Kikuchi. This book was released on 1988-01-01. Contact Problems in Elasticity available in PDF, EPUB and Kindle. The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes. Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples.

Contact Problems

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Release : 2008-12-31
Genre : Science
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Book Rating : 439/5 ( reviews)

Contact Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Contact Problems write by L. A. Galin. This book was released on 2008-12-31. Contact Problems available in PDF, EPUB and Kindle. L.A. Galin’s book on contact problems is a remarkable work. Actually there are two books: the first, published in 1953 deals with contact problems in the classical theory of elasticity; this is the one that was translated into English in 1961. The second book, published in 1980, included the first, and then had new sections on contact problems for viscoelastic materials, and rough contact problems; this section has not previously been translated into English. In this new translation, the original text and the mathematical analysis have been completely revised, new material has been added, and the material appearing in the 1980 Russian translation has been completely rewritten. In addition there are three essays by students of Galin, bringing the analysis up to date.

Scalable Algorithms for Contact Problems

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Release : 2017-01-25
Genre : Mathematics
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Book Rating : 343/5 ( reviews)

Scalable Algorithms for Contact Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Scalable Algorithms for Contact Problems write by Zdeněk Dostál. This book was released on 2017-01-25. Scalable Algorithms for Contact Problems available in PDF, EPUB and Kindle. This book presents a comprehensive and self-contained treatment of the authors’ newly developed scalable algorithms for the solutions of multibody contact problems of linear elasticity. The brand new feature of these algorithms is theoretically supported numerical scalability and parallel scalability demonstrated on problems discretized by billions of degrees of freedom. The theory supports solving multibody frictionless contact problems, contact problems with possibly orthotropic Tresca’s friction, and transient contact problems. It covers BEM discretization, jumping coefficients, floating bodies, mortar non-penetration conditions, etc. The exposition is divided into four parts, the first of which reviews appropriate facets of linear algebra, optimization, and analysis. The most important algorithms and optimality results are presented in the third part of the volume. The presentation is complete, including continuous formulation, discretization, decomposition, optimality results, and numerical experiments. The final part includes extensions to contact shape optimization, plasticity, and HPC implementation. Graduate students and researchers in mechanical engineering, computational engineering, and applied mathematics, will find this book of great value and interest.

Overcoming Parent-child Contact Problems

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Release : 2016-10-18
Genre : Family & Relationships
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Book Rating : 209/5 ( reviews)

Overcoming Parent-child Contact Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Overcoming Parent-child Contact Problems write by Abigail Judge. This book was released on 2016-10-18. Overcoming Parent-child Contact Problems available in PDF, EPUB and Kindle. Overcoming Parent-Child Contact Problems describes interventions for families experiencing a high conflict divorce impasse where a child is resisting contact with a parent.

Handbook of Contact Mechanics

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Release : 2019-04-26
Genre : Science
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Book Rating : 092/5 ( reviews)

Handbook of Contact Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of Contact Mechanics write by Valentin L. Popov. This book was released on 2019-04-26. Handbook of Contact Mechanics available in PDF, EPUB and Kindle. This open access book contains a structured collection of the complete solutions of all essential axisymmetric contact problems. Based on a systematic distinction regarding the type of contact, the regime of friction and the contact geometry, a multitude of technically relevant contact problems from mechanical engineering, the automotive industry and medical engineering are discussed. In addition to contact problems between isotropic elastic and viscoelastic media, contact problems between transversal-isotropic elastic materials and functionally graded materials are addressed, too. The optimization of the latter is a focus of current research especially in the fields of actuator technology and biomechanics. The book takes into account adhesive effects which allow access to contact-mechanical questions about micro- and nano-electromechanical systems. Solutions of the contact problems include both the relationships between the macroscopic force, displacement and contact length, as well as the stress and displacement fields at the surface and, if appropriate, within the half-space medium. Solutions are always obtained with the simplest available method - usually with the method of dimensionality reduction (MDR) or approaches which use the solution of the non-adhesive normal contact problem to solve the respective contact problem.