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20240623213015.0 |
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180310s2017 gw o 000 0 eng d |
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|a EBLCP
|b eng
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|d EZ9
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|a 1028588642
|a 1028668136
|a 1028830840
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|a 9783832592011
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|a 3832592016
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|z 383254478X
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|z 9783832544782
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|a (OCoLC)1028231712
|z (OCoLC)1028588642
|z (OCoLC)1028668136
|z (OCoLC)1028830840
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|a QA377 .J474 2016
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|a HCDD
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|a Jesenko, Martin.
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|a Commutability of Gamma-Limits in Problems with Multiple Scales.
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| 260 |
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|a Berlin :
|b Logos Verlag Berlin,
|c 2017.
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| 300 |
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|a 1 online resource (156 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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1 |
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|a Augsburger Schriften Zur Mathematik, Physik und Informatik Ser. ;
|v v. 33
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|a Print version record.
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|a Intro; 1 Motivation from elasticity; 1.1 Variational formulation; 1.2 Linear elasticity; 1.3 Geometric linearization in the multiwell case; 1.4 Homogenization; 1.5 Commutability of geometric linearization and homogenization; 2 The p> 1 case; 2.1 Concept of Î#x93;-closure; 2.2 Î#x93;-closure under standard growth assumptions; 2.3 Î#x93;-closure for GÃÆrding type functionals; 2.4 Boundary values and compactness; 2.5 A perturbation and a relaxation result; 2.6 Commutability of Î#x93;-limits; 2.7 Homogenization of GÃÆrding type functionals; 3 Applications in elasticity theory.
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|a 3.1 Functionals for microstructured multiwell materials3.2 Homogenization and geometric linearization; 3.3 Additional comments; 4 Stochastic homogenization; 4.1 Ergodic theory; 4.2 Stochastic homogenization; 5 The p = 1 case; 5.1 Counterexample; 5.2 Î#x93;-closure; 6 Hencky plasticity setting; 6.1 Hencky plasticity; 6.2 One-dimensional toy model; 6.2.1 Convex homogenization; 6.2.2 Zero hardening; 6.2.3 Small hardening; 6.2.4 Commutability of homogenization and vanishing hardening; 6.3 Setting the problem; 7 Functions of bounded deformation; 7.1 Functions of bounded deformation.
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|a 7.1.1 Definition and basic properties7.1.2 Albertiâ#x80;#x99;s rank one theorem; 7.1.3 Approximate differentiability; 7.1.4 Kernel of Edev; 7.2 Space U; 7.2.1 Definition and basic properties; 7.2.2 Helmholtz decomposition; 7.3 Bogovskiiâ#x80;#x99;s operator; 8 Commutability of homogenization and vanishing hardening; 8.1 Setting; 8.2 Homogenized density; 8.3 ( -- )-strict continuity of G; 8.4 lim inf-inequality at zero hardening; 8.4.1 Regular points; 8.4.2 Singular points; 8.5 Conclusion; 8.6 Relaxation at zero hardening revisited.
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| 650 |
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|a Homogenization (Differential equations)
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| 650 |
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7 |
|a Homogenization (Differential equations)
|2 fast
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| 776 |
0 |
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|i Print version:
|a Jesenko, Martin.
|t Commutability of Gamma-Limits in Problems with Multiple Scales.
|d Berlin : Logos Verlag Berlin, ©2017
|z 9783832544782
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| 830 |
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0 |
|a Augsburger Schriften Zur Mathematik, Physik und Informatik Ser.
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| 856 |
4 |
0 |
|u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=5313472
|y Click for online access
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| 903 |
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|a EBC-AC
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| 994 |
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|a 92
|b HCD
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