000			03108nam a22003255i 4500
001			103027
003			DE-He213
005			20230102113111.0
007			cr nn 008mamaa
008			171205s2018 xxu| s |||| 0|eng d
020			_a9781493974238
024	7		_a10.1007/978-1-4939-7423-8 _2doi
040			_aES-MaUEC _bspa
050		4	_aTA347.F5 _bD374 2018 EB
100	1		_aDasgupta, Gautam _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _0http://id.loc.gov/authorities/names/no2008100315 _1http://viaf.org/viaf/6236096/
245	1	0	_aFinite Element Concepts _bA Closed-Form Algebraic Development _cby Gautam Dasgupta.
264		1	_aNew York, NY _bSpringer International Publishing _c2018
300			_a1 recurso en línea (XXXVI, 333 páginas 45 ilustraciones)
347			_atext file _bPDF
505	0		_a1. Bar -- 2. Trusses -- 3. 2-D Llinear Interpolation -- 4. Triangular Elements -- 5. Taig's Convex Quadrilateral Elements -- 6. Irons patch test -- 7. Eight DOFs -- 8. Incompressibility -- 9. Conclusions.
520	3		_aThis text presents a highly original treatment of the fundamentals of FEM, developed using computer algebra, based on undergraduate-level engineering mathematics and the mechanics of solids. The book is divided into two distinct parts of nine chapters and seven appendices. The first chapter reviews the energy concepts in structural mechanics with bar problems, which is continued in the next chapter for truss analysis using Mathematica programs. The Courant and Clough triangular elements for scalar potentials and linear elasticity are covered in chapters three and four, followed by four-node elements. Chapters five and six describe Taig's isoparametric interpolants and Iron's patch test. Rayleigh vector modes, which satisfy point-wise equilibrium, are elaborated on in chapter seven along with successful patch tests in the physical (x,y) Cartesian frame. Chapter eight explains point-wise incompressibility and employs (Moore-Penrose) inversion of rectangular matrices. The final chapter analyzes patch-tests in all directions and introduces five-node elements for linear stresses. Curved boundaries and higher order stresses are addressed in closed algebraic form. Appendices give a short introduction to Mathematica, followed by truss analysis using symbolic codes that could be used in all FEM problems to assemble element matrices and solve for all unknowns. All Mathematica codes for theoretical formulations and graphics are included with extensive numerical examples.
650		7	_aMétodo de elementos finitos _2embne _9141492
650		7	_aEcuaciones en derivadas parciales _2embne _9145456
776	0	8	_iEdición impresa: _z9781493974214
776	0	8	_iEdición impresa: _z9781493974221
776	0	8	_iEdición impresa: _z9781493984817
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-1-4939-7423-8 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
490	0		_aEngineering (Springer-11647)
998			_b03/2019 _dz _ek _feng _ggw _h0
999			_c103027 _d103027 _x1