000 03124nam a22005535i 4500
001 978-3-030-57776-6
003 DE-He213
005 20220801215851.0
007 cr nn 008mamaa
008 201010s2021 sz | s |||| 0|eng d
020 _a9783030577766
_9978-3-030-57776-6
024 7 _a10.1007/978-3-030-57776-6
_2doi
050 4 _aTA349-359
072 7 _aTGMD
_2bicssc
072 7 _aSCI096000
_2bisacsh
072 7 _aTGMD
_2thema
082 0 4 _a620.105
_223
100 1 _aRubin, M.B.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_946936
245 1 0 _aContinuum Mechanics with Eulerian Formulations of Constitutive Equations
_h[electronic resource] /
_cby M.B. Rubin.
250 _a1st ed. 2021.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2021.
300 _aXIII, 277 p. 25 illus.
_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,
_x2214-7764 ;
_v265
505 0 _aIntroduction -- Basic tensor analysis -- Kinematics -- Balance laws for the purely mechanical theory -- Purely mechanical constitutive equations -- Thermomechanical Theory -- Eigenvalues, Eigenvectors, and Principal Invariants of a Tensor -- Consequences of Continuity -- Lagrange Multipliers -- Stationary Values of Normal And Shear Stresses -- Isotropic Tensors -- An introduction to tensors with respect to curvilinear coordinates -- Summary of tensor operations in specific coordinate systems.
520 _aThis book focuses on the need for an Eulerian formulation of constitutive equations. After introducing tensor analysis using both index and direct notation, nonlinear kinematics of continua is presented. The balance laws of the purely mechanical theory are discussed along with restrictions on constitutive equations due to superposed rigid body motion. The balance laws of the thermomechanical theory are discussed and specific constitutive equations are presented for: hyperelastic materials; elastic–inelastic materials; thermoelastic–inelastic materials with application to shock waves; thermoelastic–inelastic porous materials; and thermoelastic–inelastic growing biological tissues.
650 0 _aMechanics, Applied.
_93253
650 0 _aSolids.
_93750
650 0 _aMechanics.
_98758
650 0 _aBiomechanics.
_96506
650 1 4 _aSolid Mechanics.
_931612
650 2 4 _aClassical Mechanics.
_931661
650 2 4 _aBiomechanics.
_96506
710 2 _aSpringerLink (Online service)
_946937
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030577759
776 0 8 _iPrinted edition:
_z9783030577773
776 0 8 _iPrinted edition:
_z9783030577780
830 0 _aSolid Mechanics and Its Applications,
_x2214-7764 ;
_v265
_946938
856 4 0 _uhttps://doi.org/10.1007/978-3-030-57776-6
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c77946
_d77946