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020 _a9783030890704
024 7 _a10.1007/978-3-030-89070-4
_2doi
040 _bspa
_cES-MaUEC
_dES-MaUEC
050 4 _aQA808.2
_b2022 EB
100 1 _aSteinmann, Paul
_d1962-
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9685629
245 1 0 _aSpatial and Material Forces in Nonlinear Continuum Mechanics :
_bA Dissipation-Consistent Approach
_cby Paul Steinmann
250 _a1st edition 2022
264 1 _aCham
_bSpringer International Publishing
_c2022
300 _a1 recurso en línea (XXVIII, 395 páginas)
_b71 ilustraciones, 12 ilustraciones a color
336 _atexto
_btxt
_2rdacontent
337 _aelectrónico
_bc
_2rdamedia
338 _arecurso electrónico
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
490 0 _aSolid Mechanics and Its Applications
_x2214-7764
_v272
505 0 _a1 Introduction -- 2 Kinematics in Bulk Volumes -- 3 Kinematics on Dimensionally Reduced Smooth Manifolds -- 4 Kinematics at Singular Sets -- 5 Generic Balances -- 6 Kinematical 'Balances'* -- 7 Mechanical Balances -- 8 Consequences of Mechanical Balances -- 9 Virtual Work -- 10 Variational Setting -- 11 Thermo-Dynamical Balances -- 12 Consequences of Thermo-Dynamical Balances -- 13 Computational Setting.
520 _aThis monograph details spatial and material vistas on non-linear continuum mechanics in a dissipation-consistent approach. Thereby, the spatial vista renders the common approach to nonlinear continuum mechanics and corresponding spatial forces, whereas the material vista elaborates on configurational mechanics and corresponding material or rather configurational forces. Fundamental to configurational mechanics is the concept of force. In analytical mechanics, force is a derived object that is power conjugate to changes of generalised coordinates. For a continuum body, these are typically the spatial positions of its continuum points. However, if in agreement with the second law, continuum points, e.g. on the boundary, may also change their material positions. Configurational forces are then power conjugate to these configurational changes. A paradigm is a crack tip, i.e. a singular part of the boundary changing its position during crack propagation, with the related configurational force, typically the J-integral, driving its evolution, thereby consuming power, typically expressed as the energy release rate. Taken together, configurational mechanics is an unconventional branch of continuum physics rationalising and unifying the tendency of a continuum body to change its material configuration. It is thus the ideal formulation to tackle sophisticated problems in continuum defect mechanics. Configurational mechanics is entirely free of restrictions regarding geometrical and constitutive nonlinearities and offers an accompanying versatile computational approach to continuum defect mechanics. In this monograph, I present a detailed summary account of my approach towards configurational mechanics, thereby fostering my view that configurational forces are indeed dissipation-consistent to configurational changes.
988 _aSpringer_Engineering_2022
650 7 _2embne
_9142188
_aMecánica de medios continuos
776 0 8 _iPrinted edition:
_z9783030890698
776 0 8 _iPrinted edition:
_z9783030890711
776 0 8 _iPrinted edition:
_z9783030890728
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-030-89070-4
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
998 _b12/2022
_dz
_eb
_zSI