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020 _a9783319082967
_9978-3-319-08296-7
024 7 _a10.1007/978-3-319-08296-7
_2doi
035 _ato000543689
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aTA405-409.3
050 4 _aQA808.2
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_2bicssc
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072 7 _aTEC021000
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082 0 4 _a620.1
_223
245 1 0 _aSimilarity and Symmetry Methods
_helectronic resource
_bApplications in Elasticity and Mechanics of Materials /
_cedited by Jean-François Ganghoffer, Ivaïlo Mladenov.
260 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aVII, 376 p. 28 illus., 1 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLecture Notes in Applied and Computational Mechanics,
_x1613-7736 ;
_v73
505 0 _aSome Recent Developments in Finding Systematically Conservation Laws and Nonlocal Symmetries for Partial Dierential Equations -- Construction of Conservation Laws Using Symmetries -- Symbolic Computation Of Nonlocal Symmetries And Nonlocal Conservation Laws Of Partial Differential Equations Using The Gem Package For Maple -- Symmetries of Hamiltonian Systems on Symplectic and Poisson Manifolds -- Symmetries in Mechanics: From Field Theories to Master Responses in the Constitutive Modeling of Materials -- Symmetries and Some Special Solutions of the Helfrich Model -- Lie Group Analysis of the Willmore and Membrane Shape Equations.
520 _aThe principle aim of the book is to present a self-contained, modern account of similarity and symmetry methods, which are important mathematical tools for both physicists, engineers and applied mathematicians. The idea is to provide a balanced presentation of the mathematical techniques and applications of symmetry methods in mathematics, physics and engineering. That is why it includes recent developments and many examples in finding systematically conservation laws, local and nonlocal symmetries for ordinary and partial differential equations. The role of continuous symmetries in classical and quantum field theories is exposed at a technical level accessible even for non specialists. The importance of symmetries in continuum mechanics and mechanics of materials is highlighted through recent developments, such as the construction of constitutive models for various materials combining Lie symmetries with experimental data. As a whole this book is a unique collection of contributions from experts in the field, including specialists in the mathematical treatment of symmetries, researchers using symmetries from a fundamental, applied or numerical viewpoint. The book is a fascinating overview of symmetry methods aimed for graduate students in physics, mathematics and engineering, as well as researchers either willing to enter in the field or to capture recent developments and applications of symmetry methods in different scientific fields.
650 0 _aengineering.
_9224332
650 0 _aComputer Science.
_9155490
650 0 _amechanics.
_9566235
650 0 _aMaterials.
_9128387
650 1 4 _aEngineering.
_9224332
650 2 4 _aContinuum Mechanics and Mechanics of Materials.
_9303579
650 2 4 _aMechanics.
_9566236
650 2 4 _aComputational Science and Engineering.
_9304944
700 1 _aGanghoffer, Jean-François.
_eeditor.
_9449807
700 1 _aMladenov, Ivaïlo.
_eeditor.
_9449808
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
830 0 _aLecture Notes in Applied and Computational Mechanics,
_9316161
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-08296-7
912 _aZDB-2-ENG
999 _c400957