000 04415nam a22005295i 4500
001 978-3-031-39255-9
003 DE-He213
005 20250516155927.0
007 cr nn 008mamaa
008 231028s2024 sz | s |||| 0|eng d
020 _a9783031392559
_9978-3-031-39255-9
050 4 _aTA349-359
072 7 _aTGB
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTGB
_2thema
082 0 4 _a620.1
_223
100 1 _aWriggers, Peter.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aVirtual Element Methods in Engineering Sciences
_h[electronic resource] /
_cby Peter Wriggers, Fadi Aldakheel, Blaž Hudobivnik.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2024.
300 _aXV, 452 p. 240 illus., 181 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aIntroduction -- Continuum mechanics background -- VEM Ansatz functions and projection for solids -- VEM Ansatz functions and projection for the Poisson equation -- Virtual elements for elasticity problems -- Virtual elements for problems in dynamics -- Virtual element formulation for finite plasticity -- Virtual elements for thermo-mechanical problems -- Virtual elements for fracture processes -- Virtual element formulation for contact -- Virtual elements for homogenization -- Virtual elements for beams and plates.
520 _aThis book provides a comprehensive treatment of the virtual element method (VEM) for engineering applications, focusing on its application in solid mechanics. Starting with a continuum mechanics background, the book establishes the necessary foundation for understanding the subsequent chapters. It then delves into the VEM's Ansatz functions and projection techniques, both for solids and the Poisson equation, which are fundamental to the method. The book explores the virtual element formulation for elasticity problems, offering insights into its advantages and capabilities. Moving beyond elasticity, the VEM is extended to problems in dynamics, enabling the analysis of dynamic systems with accuracy and efficiency. The book also covers the virtual element formulation for finite plasticity, providing a framework for simulating the behavior of materials undergoing plastic deformation. Furthermore, the VEM is applied to thermo-mechanical problems, where it allows for the investigation of coupled thermal and mechanical effects. The book dedicates a significant portion to the virtual elements for fracture processes, presenting techniques to model and analyze fractures in engineering structures. It also addresses contact problems, showcasing the VEM's effectiveness in dealing with contact phenomena. The virtual element method's versatility is further demonstrated through its application in homogenization, offering a means to understand the effective behavior of composite materials and heterogeneous structures. Finally, the book concludes with the virtual elements for beams and plates, exploring their application in these specific structural elements. Throughout the book, the authors emphasize the advantages of the virtual element method over traditional finite element discretization schemes, highlighting its accuracy, flexibility, and computational efficiency in various engineering contexts.
541 _fUABC ;
_cPerpetuidad
650 0 _aMechanics, Applied.
650 0 _aContinuum mechanics.
650 1 4 _aEngineering Mechanics.
650 2 4 _aContinuum Mechanics.
700 1 _aAldakheel, Fadi.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aHudobivnik, Blaž.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031392542
776 0 8 _iPrinted edition:
_z9783031392566
776 0 8 _iPrinted edition:
_z9783031392573
856 4 0 _zLibro electrónico
_uhttp://libcon.rec.uabc.mx:2048/login?url=https://doi.org/10.1007/978-3-031-39255-9
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cLIBRO_ELEC
999 _c273542
_d273541