000 03523nam a22005175i 4500
001 978-94-007-0034-5
003 DE-He213
005 20140220083827.0
007 cr nn 008mamaa
008 101222s2011 ne | s |||| 0|eng d
020 _a9789400700345
_9978-94-007-0034-5
024 7 _a10.1007/978-94-007-0034-5
_2doi
050 4 _aTA405-409.3
050 4 _aQA808.2
072 7 _aTG
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTEC021000
_2bisacsh
082 0 4 _a620.1
_223
100 1 _aDimitrienko, Yuriy I.
_eauthor.
245 1 0 _aNonlinear Continuum Mechanics and Large Inelastic Deformations
_h[electronic resource] /
_cby Yuriy I. Dimitrienko.
264 1 _aDordrecht :
_bSpringer Netherlands,
_c2011.
300 _aXXIV, 721 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSolid Mechanics and Its Applications,
_x0925-0042 ;
_v174
505 0 _aPreface -- Introduction. Fundamental Axioms of Continuum Mechanics -- 1. Kinematics of Continua -- 2. Balance Laws -- 3. Constitutive Equations -- 4. Relations at Singular Surfaces -- 5. Elastic Continua at Large Deformations -- 6. Continua of the Differential Type -- 7. Viscoelastic Continua at Large Deformations -- 8. Plastic Continua at Large Deformations -- References -- Basic Notation -- Subject Index.
520 _aThe book provides a rigorous axiomatic approach to continuum mechanics under large deformation. In addition to the classical nonlinear continuum mechanics – kinematics, fundamental laws, the theory of functions having jump discontinuities across singular surfaces, etc. - the book presents the theory of co-rotational derivatives, dynamic deformation compatibility equations, and the principles of material indifference and symmetry, all in systematized form. The focus of the book is a new approach to the formulation of the constitutive equations for elastic and inelastic continua under large deformation. This new approach is based on using energetic and quasi-energetic couples of stress and deformation tensors. This approach leads to a unified treatment of large, anisotropic elastic, viscoelastic, and plastic deformations. The author analyses classical problems, including some involving nonlinear wave propagation, using different models for continua under large deformation, and shows how different models lead to different results. The analysis is accompanied by experimental data and detailed numerical results for rubber, the ground, alloys, etc. The book will be an invaluable text for graduate students and researchers in solid mechanics, mechanical engineering, applied mathematics, physics and crystallography, as also for scientists developing advanced materials.
650 0 _aEngineering.
650 0 _aMaterials.
650 0 _aMechanical engineering.
650 1 4 _aEngineering.
650 2 4 _aContinuum Mechanics and Mechanics of Materials.
650 2 4 _aMechanical Engineering.
650 2 4 _aComputational Intelligence.
650 2 4 _aClassical Continuum Physics.
650 2 4 _aMaterials Science, general.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9789400700338
830 0 _aSolid Mechanics and Its Applications,
_x0925-0042 ;
_v174
856 4 0 _uhttp://dx.doi.org/10.1007/978-94-007-0034-5
912 _aZDB-2-ENG
999 _c109181
_d109181