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007 | cr nn 008mamaa | ||
008 | 220328s2022 sz | s |||| 0|eng d | ||
020 | _a9783030890704 | ||
024 | 7 |
_a10.1007/978-3-030-89070-4 _2doi |
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_aTR-AnTOB _beng _cTR-AnTOB _erda |
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041 | _aeng | ||
050 | 4 | _aQA808.2 | |
072 | 7 |
_aTGMD _2bicssc |
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_aSCI096000 _2bisacsh |
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_aTGMD _2thema |
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100 | 1 |
_aSteinmann, Paul. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aSpatial and Material Forces in Nonlinear Continuum Mechanics _h[electronic resource] : _bA Dissipation-Consistent Approach / _cby Paul Steinmann. |
250 | _a1st ed. 2022. | ||
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2022. |
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300 | _a1 online resource | ||
336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aSolid Mechanics and Its Applications, _x2214-7764 ; _v272 |
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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. | ||
650 | 0 | _aMechanics, Applied. | |
650 | 0 | _aSolids. | |
650 | 0 | _aContinuum mechanics. | |
650 | 1 | 4 | _aSolid Mechanics. |
650 | 2 | 4 | _aContinuum Mechanics. |
710 | 2 | _aSpringerLink (Online service) | |
830 | 0 |
_aSolid Mechanics and Its Applications, _x2214-7764 ; _v272 |
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856 | 4 | 0 |
_uhttps://doi.org/10.1007/978-3-030-89070-4 _3Springer eBooks _zOnline access link to the resource |
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_2lcc _cEBK |