{"product_id":"9780470667088","title":"Partition of Unity Methods","description":"\u003ch1\u003ePartition of Unity Methods\u003c\/h1\u003e\u003ch3\u003eStéphane P. A. Bordas | Alexander Menk | Sundararajan Natarajan\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eTechnology \u0026amp; Engineering \/ Drafting \u0026amp; Mechanical Drawing\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cb\u003ePARTITION OF UNITY METHODS\u003c\/b\u003e \u003cp\u003e\u003cb\u003eMaster the latest tool in computational mechanics with this brand-new resource from distinguished leaders in the field\u003c\/b\u003e \u003c\/p\u003e\n\u003cp\u003eWhile it is the number one tool for computer aided design and engineering, the finite element method (FEM) has difficulties with discontinuities, singularities, and moving boundaries. Partition of unity methods addresses these challenges and is now increasingly implemented in commercially available software. \u003ci\u003ePartition of Unity Methods \u003c\/i\u003edelivers a detailed overview of its fundamentals, in particular the extended finite element method for applications in solving moving boundary problems. The distinguished academics and authors introduce the XFEM as a natural extension of the traditional finite element method (FEM), through straightforward one-dimensional examples which form the basis for the subsequent introduction of higher dimensional problems. This book allows readers to fully understand and utilize XFEM just as it becomes ever more crucial to industry practice. \u003c\/p\u003e\n\u003cp\u003e\u003ci\u003ePartition of Unity Methods \u003c\/i\u003eexplores all essential topics on this key new technology, including: \u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eCoverage of the difficulties faced by the finite element method and the impetus behind the development of XFEM\u003c\/li\u003e \u003cli\u003eThe basics of the finite element method, with discussions of finite element formulation of linear elasticity and the calculation of the force vector\u003c\/li\u003e \u003cli\u003eAn introduction to the fundamentals of enrichment\u003c\/li\u003e \u003cli\u003eA revisitation of the partition of unity enrichment\u003c\/li\u003e \u003cli\u003eA description of the geometry of enrichment features, with discussions of level sets for stationary interfaces\u003c\/li\u003e \u003cli\u003eApplication of XFEM to bio-film, gradient theories, and three dimensional crack propagation\u003c\/li\u003e\n\u003c\/ul\u003e \u003cp\u003ePerfect for researchers and postdoctoral candidates working in the field of computational mechanics, \u003ci\u003ePartition of Unity Methods \u003c\/i\u003ealso has a place in the libraries of senior undergraduate and graduate students working in the field. Finite element and CFD analysts and developers in private industry will also greatly benefit from this book.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e  \u003cp\u003e\u003cb\u003eStéphane P. A. Bordas \u003c\/b\u003eis a Professor in Computational Mechanics and earned his PhD from Northwestern University, USA, in 2004. He has published over 200 papers in unfitted simulation of free boundary problems and data driven modelling of complex systems. He has supervised over 30 PhD students and is Editor- in-Chief of \u003ci\u003eAdvances in Applied Mechanics\u003c\/i\u003e. \u003c\/p\u003e\n\u003cp\u003e\u003cb\u003eAlexander Menk \u003c\/b\u003eis employed by Bosch GmbH. He is a PhD graduate from Glasgow University, UK, supervised by Prof. Bordas. His contributions range from automatic numerically determined enrichment to preconditioners for extended finite element methods for fracture. \u003c\/p\u003e\n\u003cp\u003e\u003cb\u003eSundararajan Natarajan \u003c\/b\u003ehas been a Professor of Computational Mechanics since 2014 and earned his PhD from Cardiff University, UK, supervised by Prof. Bordas and Prof. Kerfriden. He has made strong contributions to a number of methods on unfitted methods for free boundary problems, in particular on numerical integration and strain smoothing. \u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e23 October 2023\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9780470667088\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e368\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eWeight (oz): \u003c\/td\u003e\n\u003ctd\u003e35.0\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":44380553314444,"sku":"9780470667088","price":108.86,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780470667088_16ace47a-801d-4215-a87c-26140bfe273b.jpg?v=1780237829","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9780470667088","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}