001433210 000__ 04958cam\a2200721\i\4500
001433210 001__ 1433210
001433210 003__ OCoLC
001433210 005__ 20230309003554.0
001433210 006__ m\\\\\o\\d\\\\\\\\
001433210 007__ cr\un\nnnunnun
001433210 008__ 201125s2021\\\\sz\\\\\\ob\\\\001\0\eng\d
001433210 019__ $$a1224514575$$a1224515706$$a1225550030$$a1233020316$$a1237462684$$a1238201432$$a1241065983$$a1249943791
001433210 020__ $$a9783030558895$$q(electronic book)
001433210 020__ $$a3030558894$$q(electronic book)
001433210 020__ $$z9783030558888
001433210 020__ $$z3030558886
001433210 0247_ $$a10.1007/978-3-030-55889-5$$2doi
001433210 035__ $$aSP(OCoLC)1228843190
001433210 040__ $$aUPM$$beng$$erda$$epn$$cUPM$$dOCLCO$$dOCLCQ$$dYDXIT$$dGW5XE$$dOCLCF$$dOCLCO$$dMUB$$dEBLCP$$dYDX$$dN$T$$dDCT$$dLEATE$$dOCL$$dOCLCQ$$dOCLCO$$dCOM$$dOCLCQ
001433210 049__ $$aISEA
001433210 050_4 $$aTA648$$b.H37 2021
001433210 08204 $$a624.171$$223
001433210 08204 $$a531$$223
001433210 1001_ $$aHartmann, F.$$q(Friedel),$$d1945-$$eauthor.
001433210 24510 $$aStatics and influence functions :$$bfrom a modern perspective /$$cFriedel Hartmann, Peter Jahn.
001433210 250__ $$aSecond edition.
001433210 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2021]
001433210 300__ $$a1 online resource
001433210 336__ $$atext$$btxt$$2rdacontent
001433210 337__ $$acomputer$$bc$$2rdamedia
001433210 338__ $$aonline resource$$bcr$$2rdacarrier
001433210 347__ $$atext file
001433210 347__ $$bPDF
001433210 4901_ $$aSpringer series in solid and structural mechanics,$$x2195-3511 ;$$vvolume 13
001433210 500__ $$aFirst edition: 2017.
001433210 504__ $$aIncludes bibliographical references and index.
001433210 5050_ $$aFoundation -- Betti's Theorem -- Finite Elements -- Betti Extended -- Stiffness Changes and Reanalysis -- Singularities -- Mixed formulations -- Nonlinear Problems.
001433210 506__ $$aAccess limited to authorized users.
001433210 520__ $$aThis extended and revised second edition is intended for engineering students and researchers working with finite element methods in structural and mechanical analysis. Discussing numerical structural analysis from first mechanical and mathematical principles, it establishes the central role of influence functions (Green's functions) in linear computational mechanics. The main features of the book are mentioned below. · Introducing Green's first and second identity as the core theorems of statics and mechanics. Formulation of the variational and energy principles of mechanics with an emphasis on the computational aspects and on the qualitative features of variational solutions. · Derivation of influence functions from duality principles, the distinction between weak and strong influence functions, the difference between monopoles and dipoles and how amputated dipoles lead to singularities, and how singularities on the boundary pollute the solution inside the domain - an unavoidable effect in 2-D and 3-D. · A detailed discussion of the various features of the finite element method and the key role of the notion of "shake-equivalence" as originally introduced by Turner et alt. Establishing that in linear finite element analysis the accuracy depends on the accuracy of the influence functions. Introducing Betti extended as a core theorem of finite element analysis. · A systematic treatment of the role which Green's functions play in reanalysis, sensitivity analysis, parameter identification and in optimization. Explaining why averaging material parameters succeeds and how local stiffness changes can be identified with the action of equilibrium forces f+. · Presenting a new technique, one-click reanalysis, which allows to make modifications to a structure by clicking on single elements and seeing directly the new shape, bypassing the need to solve the modified system. · Four programs for the solution of the Poisson equation, 2-D elasticity, plate-bending problems and planar frames are offered for download in this second edition. These are all-purpose programs but with a particular emphasis on influence functions. The frame program also demonstrates one-click reanalysis
001433210 588__ $$aOnline resource; title from digital title page (viewed on February 01, 2021).
001433210 650_0 $$aStatics.
001433210 650_0 $$aGreen's functions.
001433210 650_0 $$aMechanics.
001433210 650_0 $$aMechanics, Applied.
001433210 650_0 $$aEngineering, Architectural.
001433210 650_0 $$aComputer science$$xMathematics.
001433210 650_6 $$aStatique.
001433210 650_6 $$aFonctions de Green.
001433210 650_6 $$aMécanique.
001433210 650_6 $$aMécanique appliquée.
001433210 650_6 $$aInformatique$$xMathématiques.
001433210 655_0 $$aElectronic books.
001433210 7001_ $$aJahn, Peter,$$eauthor.
001433210 77608 $$iPrint version: $$z9783030558888
001433210 77608 $$iPrint version: $$z9783030558901
001433210 77608 $$iPrint version: $$z9783030558918
001433210 830_0 $$aSpringer series in solid and structural mechanics ;$$v13.$$x2195-3511
001433210 852__ $$bebk
001433210 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-55889-5$$zOnline Access$$91397441.1
001433210 909CO $$ooai:library.usi.edu:1433210$$pGLOBAL_SET
001433210 980__ $$aBIB
001433210 980__ $$aEBOOK
001433210 982__ $$aEbook
001433210 983__ $$aOnline
001433210 994__ $$a92$$bISE