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Tytuł artykułu

Computational modelling of localized deformations with regularized continuum models

Autorzy
Treść / Zawartość
Identyfikatory
Warianty tytułu
PL
Modelowanie komputerowe deformacji zlokalizowanych zregularyzowanymi modelami ośrodka ciągłego
Języki publikacji
EN
Abstrakty
EN
The paper presents a short overview of selected problems related to the numerical analysis of localized deformations. After defining the localization phenomenon and the class of gradient models, two simulation examples are shown. They are applications of the plasticity theory with a Laplacian of the hardening parameter and of the damage theory with an additional averaging equation for an equivalent strain measure.
PL
Artykuł przedstawia krótki przegląd wybranych problemów analizy numerycznej deformacji zlokalizowanych. Po zdefiniowaniu zjawiska lokalizacji i klasy modeli gradientowych zwięźle opisano dwa przykładowe zastosowania teorii płynięcia plastycznego zawierającej laplasjan parametru wzmocnienia i teorii uszkodzenia z dodatkowym równaniem uśredniającym miarę odkształcenia w otoczeniu punktu.
Rocznik
Strony
27--33
Opis fizyczny
Bibliogr. [37] poz., rys., wykr.
Twórcy
autor
  • Cracow University of Technology, Faculty of Civil Engineering, ul. Warszawska 24, 31-155 Cracow, Poland, JPamin@L5.pk.edu.pl
Bibliografia
  • Askes H., Suiker A.S.J., Sluys L.J. 2002, A classification of higher-order strain-gradient models - linear analysis. Archive of Applied Mechanics, 72(2-3), 171-188.
  • Babuska I., Melenk J.M. 1997, The Partition of Unity Method. Int. J. Numer. Meth. Engng, 40(4), 727-758.
  • Becker E., Burger W. 1975, Kontinnumsmechanik. Teubner Studienbucher, B.G Teubner. Stuttgart.
  • Comi C, 1999, Computational modelling of gradient-enhanced damage in quasi-brittle materials. Mech. Cohes.-frict. Mater., 4(1), 17-36.
  • de Borst R., Muhlhaus H.-B. 1992, Gradient-dependent plasticity: Formulation and algorithmic aspects. Int. J. Numer. Meth. Engng, 35, 521-539.
  • de Borst R., Pamin J. 1996, Some novel developments in finite element procedures for gradientdependent plasticity. Int. J. Numer. Meth. Engng, 39, 2477-2505.
  • de Borst R., Sluys L.J., Muhlhaus H.-B., Pamin J. 1993, Fundamental issues in finite element analyses of localization of deformation. Eng. Comput, 10, 99-121.
  • Engelen R.A.B., Geers M.G.D., Baaijens F.P.T. 2003, Nonlocal implicit gradient-enhanced elastoplasticity for the modelling of softening behaviour. Int. J. Plasticity, 19(4), 403-433.
  • Fleck N.A., Hutchinson J.W. 1997, Strain gradient plasticity. Advances in Applied Mechanics, 33, 295-361.
  • Fries T.-P., Belytschko T. 2010, The extended/generalized finite element method: An overview of the method and its applications. Int. J. Numer. Meth. Engng, 84(3), 253-304.
  • Geers M.G.D. 1997, Experimental analysis and computational modelling of damage and fracture. Ph.D. dissertation, Eindhoven University of Technology, Eindhoven.
  • Geers M.G.D., Kouznetsova V.G., Brekelmans W.A.M. 2010, Multi-scale computational homogenization: Trends and challenges. Journal of Computational and Applied Mathematics, 234, 2175-2182.
  • Gitman I.M. 2006, Representative volumes and multi-scale models of ąuasi-brittle materials. Ph.D. dissertation, Delft University of Technology, Delft.
  • Kuhl E., Ramm E., de Borst R. 2000, An anisotropic gradient damage model for ąuasi-brittle materials. Comput. Methods Appl. Mech. Engrg., 183(1-2), 87-103.
  • Liebe T., Steinmann P. 2001, Theory and numerics of a thermodynamically consistent framework for geometrically linear gradient plasticity. Int. J. Numer. Meth. Engng, 51, 1437-1467.
  • Liebe T, Steinmann P., Benallal A. 2001, Theoretical and computational aspects of a thermodynamically consistent framework for geometrically linear gradient damage. Comput. Methods Appl. Mech. Engrg., 190, 6555-6576.
  • Łodygowski T. 1998, Numerical solutions of initial boundary value problems for metals and soils. In Perzyna P., editor, Localization and fracture phenomena in inelastic solids, pages 392-468, Wien-New York. CISM Course Lecture Notes No. 386, Springer-Verlag.
  • Mazars J., Pijaudier-Cabot G. 1989, Continuum damage theory -application to concrete. ASCE J. Eng. Mech., 115, 345-365.
  • Mindlin R.D. 1965, Second gradient of strain and surface-tension in linear elasticity. Int. J. Solids Struct, 1, 417-438.
  • Muhlhaus H.-B., Aifantis E.C. 1991, A variational principle for gradient plasticity. Int. J. Solids Struct., 28, 845-857.
  • Muhlhaus H.-B., Vardoulakis I. 1987, The thickness of shear bands in granular materials. Geotechnique, 37, 271-283.
  • Pamin J. 2004, Gradient-enhanced continuum models: formulation, discretization and applications. Series Civil Engineering, Monograph 301, Cracow University of Technology, Cracow.
  • Pamin J. 2005, Gradient plasticity and damage models: a short comparison. Computational Materials Science, 32, 472-479.
  • Pamin J., de Borst R. 1995, A gradient plasticity approach to finite element predictions of soil instability. Arch. Mech., 47, 353-377.
  • Pedersen R.R. 2009, Enhanced damage modelling for fracture and fatigue. Ph.D. dissertation, Delft University of Technology, Ipskamp Drukkers, Enschede.
  • Peerlings R.H.J., de Borst R., Brekelmans W.A.M., de Vree J.H.P. 1996, Gradient-enhanced damage for quasi-brittle materials. Int. J. Numer. Meth. Engng, 39, 3391-3403.
  • Peerlings R.H.J., Geers M.G.D., de Borst R., Brekelmans W.A.M. 2001, A critical comparison of nonlocal and gradient-enhanced softening continua. Int. J. Solids Struct., 38(44^5), 7723-7746.
  • Rolshoven S. 2003, Nonlocal plasticity models for localized failure. Ph.D. dissertation, Ecole Polytechnique Federale de Lausanne, Lausanne.
  • Rots J.G. 1988, Computational modeling of concrete fracture. Ph.D. dissertation, Delft University of Technology, Delft.
  • Simone A., Wells G.N., Sluys L.J. 2003, From continuous to discontinuous failure in a gradient enhanced continuum damage model. Comput. Methods Appl. Mech. Engrg., 192(41-42), 4581-4607.
  • Sluys L.J. 1992, Wave propagation, localization and dispersion in softening solids. Ph.D. dissertation, Delft University of Technology, Delft.
  • Stankiewicz A. 2007, Numerical analysis of strain localization in one- and two-phase geomaterials. Ph.D. dissertation, Cracow University of Technology, Cracow.
  • Svedberg T., Runesson K. 1997, A thermodynamically consistent theory of gradient-regularized plasticity coupled to damage. Int. J. Plasticity, 13(6-7), 669-696.
  • Vardoulakis I., Sulem J. 1995, Bifurcation Analysis in Geomechanics. Blackie Academic & Professional, London.
  • Walraven J.C. 1978, The influence of depth on the shear strength of lightweight concrete beams without shear reinforcement. Technical Report 5-78-4, Stevin Laboratory, Delft University of Technology, Delft.
  • Wells G.N. 2001, Discontinuous modelling of strain localization and failure. Ph.D. dissertation, Delft University of Technology, Delft.
  • Wosatko A. 2008, Finite-element analysis of cracking in concrete using gradient damage-plasticity. Ph.D. dissertation, Cracow University of Technology, Cracow.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGHS-0003-0023
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