{"product_id":"non-linear-modeling-and-analysis-of-solids-and-structures-hardback-9780521830546","title":"Non-linear Modeling and Analysis of Solids and Structures (Hardback) 9780521830546","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eNon-linear Modeling and Analysis of Solids and Structures\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA theoretical treatment of nonlinear behaviour of solids and structures, suitable for numerical computation. Includes exercises, examples and algorithms throughout.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eSteen Krenk (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521830546, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 6 August 2009\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e360 pages, 3 b\/w illus.  5 tables  70 exercises\u003cbr\u003e25.4 x 18 x 2.3 cm, 0.78 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis book presents a theoretical treatment of nonlinear behaviour of solids and structures in such a way that it is suitable for numerical computation, typically using the Finite Element Method. Starting out from elementary concepts, the author systematically uses the principle of virtual work, initially illustrated by truss structures, to give a self-contained and rigorous account of the basic methods. The author illustrates the combination of translations and rotations by finite deformation beam theories in absolute and co-rotation format, and describes the deformation of a three-dimensional continuum in material form. A concise introduction to finite elasticity is followed by an extension to elasto-plastic materials via internal variables and the maximum dissipation principle. Finally, the author presents numerical techniques for solution of the nonlinear global equations and summarises recent results on momentum and energy conserving integration of time-dependent problems. Exercises, examples and algorithms are included throughout.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Introduction\u003cbr\u003e 2. Non-linear bar elements\u003cbr\u003e 3. Finite rotations\u003cbr\u003e 4. Finite rotation beam theory\u003cbr\u003e 5. Co-rotating beam elements\u003cbr\u003e 6. Deformation and equilibrium of solids\u003cbr\u003e 7. Elasto-plastic solids\u003cbr\u003e 8. Numerical solution techniques\u003cbr\u003e 9. Dynamic effects and time integration\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mechanics of solids [\u003ca title=\"See our other books on Mechanics of solids\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mechanics%20of%20solids%20%5BTGMD%5D%22\"\u003eTGMD\u003c\/a\u003e], Mathematical modelling [\u003ca title=\"See our other books on Mathematical modelling\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20modelling%20%5BPBWH%5D%22\"\u003ePBWH\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46004224786712,"sku":"9780521830546","price":69.66,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521830546i_1f8e4bcf-2ed4-419e-be7d-9d009c86579c.jpg?v=1691368489","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/non-linear-modeling-and-analysis-of-solids-and-structures-hardback-9780521830546","provider":"Freshly Printed Books","version":"1.0","type":"link"}