000			03583nam a22004094u 4500
001			10.1002/9781118535875
003			Wiley
005			20251030120310.0
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020			_a9781118535875 _qelectronic
024	7		_a10.1002/9781118535875 _2doi
041			_aeng
245	0	0	_aPartition of Unity Methods _h[electronic resource] _cEdited by Stéphane Bordas, Alexander Menk, Sundararajan Natarajan.
250			_a1
260			_bWiley _c2023
264		1	_bWiley _c2023
300			_a368pp.;
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _2rdaft
347			_bPDF
520			_aPARTITION OF UNITY METHODS Master the latest tool in computational mechanics with this brand-new resource from distinguished leaders in the field While 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. Partition of Unity Methods delivers 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. Partition of Unity Methods explores all essential topics on this key new technology, including: Coverage of the difficulties faced by the finite element method and the impetus behind the development of XFEM The basics of the finite element method, with discussions of finite element formulation of linear elasticity and the calculation of the force vector An introduction to the fundamentals of enrichment A revisitation of the partition of unity enrichment A description of the geometry of enrichment features, with discussions of level sets for stationary interfaces Application of XFEM to bio-film, gradient theories, and three dimensional crack propagation Perfect for researchers and postdoctoral candidates working in the field of computational mechanics, Partition of Unity Methods also 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.
650		4	_aMechanical Engineering - Design _991103
650		4	_aNumerical Methods & Algorithms
650		4	_aNumerical Methods _991548
653	0	0	_aXFEM; Extended Finite Element Method; Finite Element; Finite Element Method
700	1		_aBordas, Stéphane _4edt _991730
700	1		_aMenk, Alexander _4edt _991731
700	1		_aNatarajan, Sundararajan _4edt _991732
776	0	8	_iPrinted edition: _z9780470667088
856	4	0	_uhttps://doi.org/10.1002/9781118535875 _aWiley Online Library
856	4	0	_uhttps://onlinelibrary.wiley.com/action/showBook?doi=10.1002%2F9781118535875 _aWiley Online Library
856	4	2	_3Cover Image _uhttps://onlinelibrary.wiley.com/cms/asset/3e603086-bd3a-4ad1-b540-597a1f59871f/9781118535875.cover.gif _aWiley Online Library
999			_c67064 _d67064