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Volumn 89, Issue 4, 2009, Pages 257-266

H1loc-stress and strain regularity in Cosserat plasticity

Author keywords

Cosserat model; Elliptic systems; Non simple materials; Plasticity; Polar materials; Regularity theory; Solid mechanics; Visco plasticity

Indexed keywords


EID: 65649088661     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/zamm.200800123     Document Type: Article
Times cited : (13)

References (23)
  • 1
    • 65649085763 scopus 로고    scopus 로고
    • 1/3-δ-regularity up to the boundary in time dependent viscoplasticity
    • Preprint Nr. 2537, FB Mathematik TU Darmstadt, to appear in Asymptotic Analysis
    • 1/3-δ-regularity up to the boundary in time dependent viscoplasticity. Preprint Nr. 2537, FB Mathematik TU Darmstadt, to appear in Asymptotic Analysis (2009).
    • (2009)
    • Alber, H.D.1    Nesenenko, S.2
  • 3
    • 46849089174 scopus 로고    scopus 로고
    • A note on approximation of Prandtl-Reuss plasticity through Cosserat-Plasticity
    • K. Chełmiński and P. Neff, A note on approximation of Prandtl-Reuss Plasticity through Cosserat-Plasticity, Quart. Appl. Math. 66(2), 351-357 (2008).
    • (2008) Quart. Appl. Math. , vol.66 , Issue.2 , pp. 351-357
    • Chełmiński, K.1    Neff, P.2
  • 4
    • 65649144362 scopus 로고    scopus 로고
    • Regularity in Prandtl-Reuss perfect plasticity
    • edited by G. Dal Maso, G. Francfort, A. Mielke, and T. Roubicek, Vol. 11/2007 of Oberwolfach-Report
    • A. Demyanov, Regularity in Prandtl-Reuss perfect plasticity, in: Analysis and Numerics for Rate-Independent Processes, edited by G. Dal Maso, G. Francfort, A. Mielke, and T. Roubicek, Vol. 11/2007 of Oberwolfach-Report (2007).
    • (2007) Analysis and Numerics for Rate-Independent Processes
    • Demyanov, A.1
  • 5
    • 49749117154 scopus 로고    scopus 로고
    • Hölder continuity for the displacements in isotropic and kinematic hardening with von mises yield criterion
    • J. Frehse and D. Löbach, Hölder continuity for the displacements in isotropic and kinematic hardening with von Mises yield criterion, Zeitschrift Angewandte Mathematik und Mechanik (ZAMM) 88(8), 617-629 (2008).
    • (2008) Zeitschrift Angewandte Mathematik und Mechanik (ZAMM) , vol.88 , Issue.8 , pp. 617-629
    • Frehse, J.1    Löbach, D.2
  • 6
    • 0346977810 scopus 로고    scopus 로고
    • Boundary regularity results for models of elasto-perfect plasticity
    • J. Frehse and J. Malek, Boundary regularity results for models of elasto-perfect plasticity, Math. Models. Meth. Appl. Sci. 9, 1307-1321 (1999).
    • (1999) Math. Models. Meth. Appl. Sci. , vol.9 , pp. 1307-1321
    • Frehse, J.1    Malek, J.2
  • 7
    • 43749122107 scopus 로고    scopus 로고
    • Incompatible deformations - plastic intermediate configuration
    • P. Grammenoudis and C. Tsakmakis, Incompatible deformations - plastic intermediate configuration, Z. Angew. Math. Mech. (ZAMM) 88(5), 403-432 (2008).
    • (2008) Z. Angew. Math. Mech. (ZAMM) , vol.88 , Issue.5 , pp. 403-432
    • Grammenoudis, P.1    Tsakmakis, C.2
  • 8
    • 33746280539 scopus 로고    scopus 로고
    • Global regularity of the elastic fields of a power-law model on Lipschitz domains
    • D. Knees, Global regularity of the elastic fields of a power-law model on Lipschitz domains, Math. Meth. Appl. Sci 29, 1363-1391 (2006).
    • (2006) Math. Meth. Appl. Sci. , vol.29 , pp. 1363-1391
    • Knees, D.1
  • 9
    • 34848842409 scopus 로고    scopus 로고
    • Global stress regularity of convex and some nonconvex variational problems
    • IV. Ser.
    • D. Knees, Global stress regularity of convex and some nonconvex variational problems, Ann. Mat. Pura Appl., IV. Ser. 187(1), 157-184 (2008).
    • (2008) Ann. Mat. Pura Appl. , vol.187 , Issue.1 , pp. 157-184
    • Knees, D.1
  • 10
    • 65649128357 scopus 로고    scopus 로고
    • Short note on global spatial regularity in elasto-plasticity with linear hardening
    • WIAS-Preprint Nr. 1337, submitted
    • D. Knees, Short note on global spatial regularity in elasto-plasticity with linear hardening, WIAS-Preprint Nr. 1337, submitted (2008).
    • (2008)
    • Knees, D.1
  • 11
    • 33751399160 scopus 로고    scopus 로고
    • The Cosserat couple modulus for continuous solids is zero viz the linearized Cauchy-stress tensor is symmetric
    • Preprint 2409, (DOI 10.1002/zamm.200510281)
    • P. Neff, The Cosserat couple modulus for continuous solids is zero viz the linearized Cauchy-stress tensor is symmetric, Preprint 2409, http://www3.mathematik.tu-darmstadt.de/fb/mathe/bibliothek/preprints.html, (DOI 10.1002/zamm.200510281) Z. Angew. Math. Mech. (ZAMM), 86, 892-912 (2006).
    • (2006) Angew. Math. Mech. (ZAMM) , vol.86 , pp. 892-912
    • Neff, P.1
  • 12
    • 33751038039 scopus 로고    scopus 로고
    • Existence of minimizers for a finite-strain micromorphic elastic solid
    • Preprint 2318
    • P. Neff, Existence of minimizers for a finite-strain micromorphic elastic solid, Preprint 2318, http://www3.mathematik.tu-darmstadt.de/fb/mathe/bibliothek/preprints.html, Proc. Roy. Soc. Edinb. A 136, 997-1012 (2006).
    • (2006) Proc. Roy. Soc. Edinb. A , vol.136 , pp. 997-1012
    • Neff, P.1
  • 13
    • 33746562367 scopus 로고    scopus 로고
    • A finite-strain elastic-plastic Cosserat theory for polycrystals with grain rotations
    • DOI 10.1016/j.ijengsci.2006.04.002
    • P. Neff, A finite-strain elastic-plastic Cosserat theory for polycrystals with grain rotations, DOI 10.1016/j.ijengsci.2006.04.002, Int. J. Eng. Sci. 44, 574-594 (2006).
    • (2006) Int. J. Eng. Sci. , vol.44 , pp. 574-594
    • Neff, P.1
  • 14
    • 29144458916 scopus 로고    scopus 로고
    • Infinitesimal elastic-plastic Cosserat micropolar theory. Modelling and global existence in the rate independent case
    • Preprint 2290
    • P. Neff and K. Chełmiński, Infinitesimal elastic-plastic Cosserat micropolar theory. Modelling and global existence in the rate independent case, Preprint 2290, http://www3.mathematik.tu-darmstadt.de/fb/mathe/bibliothek/preprints.html, Proc. Roy. Soc. Edinb. A 135, 1017-1039 (2005).
    • Proc. Roy. Soc. Edinb. A , vol.135 , pp. 1017-1039
    • Neff, P.1    Chełmiński, K.2
  • 15
    • 65649087674 scopus 로고    scopus 로고
    • Approximation of Prandtl-Reuss Plasticity through Cosserat-Plasticity
    • Preprint 2468
    • P. Neff and K. Chełmiński, Approximation of Prandtl-Reuss Plasticity through Cosserat-Plasticity, Preprint 2468, http://www3.mathematik.tu-darmstadt.de/fb/mathe/bibliothek/preprints.html (2006).
    • (2006)
    • Neff, P.1    Chełmiński, K.2
  • 16
    • 34547447078 scopus 로고    scopus 로고
    • Well-posedness of dynamic Cosserat plasticity
    • Preprint 2412
    • P. Neff and K. Chełmiński, Well-posedness of dynamic Cosserat plasticity, Preprint 2412, http://www3.mathematik.tu-darmstadt.de/fb/mathe/biblio thek/preprints.html, Appl. Math. Optim. 56, 19-35 (2007).
    • (2007) Appl. Math. Optim. , vol.56 , pp. 19-35
    • Neff, P.1    Chełmiński, K.2
  • 17
    • 34547308914 scopus 로고    scopus 로고
    • A numerical solution method for an infinitesimal elastic-plastic Cosserat model
    • Prepring 2470
    • P. Neff, K. Chełmiński, W. Müller, and C. Wieners, A numerical solution method for an infinitesimal elastic-plastic Cosserat model, Preprint 2470, http://www3.mathematik.tu-darmstadt.de/fb/mathe/bibliothek/preprints.html, Math. Mod. Meth. Appl. Sci. (M3AS) 17(8), 1211-1239 (2007).
    • (2007) Mod. Meth. Appl. Sci. (M3AS) , vol.17 , Issue.8 , pp. 1211-1239
    • Neff, P.1    Chełmiński, K.2    Müller, W.3    Wieners, C.4
  • 18
    • 61849100952 scopus 로고    scopus 로고
    • Regularity up to the boundary for nonlinear elliptic systems arising in time-incremental infinitesimal elasto-plasticity
    • Preprint 2520
    • P. Neff and D. Knees, Regularity up to the boundary for nonlinear elliptic systems arising in time-incremental infinitesimal elasto-plasticity, Preprint 2520, http://www3.mathematik.tu-darmstadt.de/fb/mathe/bibliothek/preprints.html, SIAM J. Math. Anal. 40(1), 21-43 (2008).
    • (2008) SIAM J. Math. Anal. , vol.40 , Issue.1 , pp. 21-43
    • Neff, P.1    Knees, D.2
  • 20
    • 39449090735 scopus 로고    scopus 로고
    • Homogenization in Viscoplasticity
    • S. Nesenenko, Homogenization in viscoplasticity, SIAM J. Math. Anal. 39(1), 236-262 (2007).
    • (2007) SIAM J. Math. Anal. , vol.39 , Issue.1 , pp. 236-262
    • Nesenenko, S.1
  • 21
    • 0000603543 scopus 로고
    • Fundamental relations of the theory of asymmetric elasticity theory
    • V.A. Palmov, Fundamental relations of the theory of asymmetric elasticity theory, Prikl. Mat. Mekh. 28, 401-408 (1964).
    • (1964) Prikl. Mat. Mekh. , vol.28 , pp. 401-408
    • Palmov, V.A.1
  • 22
    • 65649096340 scopus 로고
    • Differential properties of solutions of evolutionary variational inequalities in plasticity theory
    • G.A. Seregin, Differential properties of solutions of evolutionary variational inequalities in plasticity theory, Probl. Mat. Anal. 12,153-173 (1992).
    • (1992) Probl. Mat. Anal. , vol.12 , pp. 153-173
    • Seregin, G.A.1
  • 23
    • 65649103523 scopus 로고    scopus 로고
    • Interior regularity of solutions to a dynamic cyclic plasticity model in higher dimensions
    • P. Shih, Interior regularity of solutions to a dynamic cyclic plasticity model in higher dimensions, Adv. Math. Sci. Appl. 9(2),817-837 (1999).
    • (1999) Adv. Math. Sci. Appl. , vol.9 , Issue.2 , pp. 817-837
    • Shih, P.1


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