Paper Titles

Damage Accumulation and Fracture of Weld Joints under Low-Cyclic Loading Conditions
p.179

Recent Advances in Simulating Failure Evolution with the Material Point Method
p.193

A Micro-Cell Size Dependent Damage Law of Concrete
p.200

Damage Index Proposals Applied to Quasi-Fragile Materials Simulated Using the Lattice Discrete Element Method
p.209

Different Numerical Time Integration Schemes for Elastoplasticity Coupled to Anisotropic Damage
p.217

Failure Surface Variation Obtained with the Truss-Like Discrete Element Method
p.225

Micromechanical Damage Simulation to Obtain Effect of Coarse Grains Distribution on Mechanical Properties of Bimodal AL Using 2D XFEM
p.233

Mathematical and Numerical Modelling of Large Axisymmetric Creep Strains and Damage
p.241

Heterogeneous Lattice Model Based Simulation of Concrete under Uniaxial Loading
p.249

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 784Different Numerical Time Integration Schemes for...

Different Numerical Time Integration Schemes for Elastoplasticity Coupled to Anisotropic Damage

Article Preview

Abstract:

Much effort has been put in the development of proper continuum damage mechanics models, in which damage is either represented as a scalar, vectorial or tensorial quantity. In this work the anisotropic damage theory of Lemaitre et al. (2000), which describes damage as a second order tensor, is utilized. Two numerical time integration algorithms, namely a fully implicit and a partially explicit scheme, are compared by means of finite element computations of a plate with a circular hole. The convergence behavior of the two algorithms is studied and compared regarding the number of time steps.

You might also be interested in these eBooks

Damage Mechanics: Theory, Computation and Practice

Info:

Periodical:

Applied Mechanics and Materials (Volume 784)

Pages:

217-224

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.784.217

Citation:

Cite this paper

Online since:

August 2015

Authors:

Marek Fassin*, Stephan Wulfinghoff, Stefanie Reese

Keywords:

Anisotropic Damage, Plasticity, Plate with a Circular Hole, Time Integration Algorithm

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

© 2015 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] J. Lemaitre, R. Desmorat, and M. Sauzay. Anisotropic damage law of evolution. European Journal of Mechanics-A/Solids, 19(2): 187-208, (2000).

DOI: 10.1016/s0997-7538(00)00161-3

[2] L.M. Kachanov. Time of the rupture process under creep conditions. Isv. Akad. Nauk. SSR. Otd Tekh. Nauk, 8: 26-31, (1958).

[3] E.J. Barbero. Finite element analysis of composite materials. CRC press, (2007).

[4] J. Lemaitre. A Course on Damage Mechanics. Springer, Berlin, (1992).

[5] J.L. Chaboche. Damage induced anisotropy: on the difficulties associated with the active/passive unilateral condition. International Journal of Damage Mechanics, 1(2): 148-171, (1992).

DOI: 10.1177/105678959200100201

[6] J.L. Chaboche, P.M. Lesne, and J.F. Maire. Phenomenological damage mechanics of brittle materials with description of the unilateral effects. Fracture and damage in quasi-brittle structures, pages 75-84, (1994).

[7] R.K. Abu Al-Rub and G.Z. Voyiadjis. On the coupling of anisotropic damage and plasticity models for ductile materials. International Journal of Solids and Structures, 40(11): 2611-2643, (2003).

DOI: 10.1016/s0020-7683(03)00109-4

[8] S. Murakami, K. Hayakawa, and Y. Liu. Damage evolution and damage surface of elasticplastic-damage materials under multiaxial loading. International Journal of Damage Mechanics, 7(2): 103-128, (1998).

DOI: 10.1177/105678959800700202

[9] D.J. Bammann and K.N. Solanki. On kinematic, thermodynamic, and kinetic coupling of a damage theory for polycrystalline material. International Journal of Plasticity, 26(6): 775-793, (2010).

DOI: 10.1016/j.ijplas.2009.10.006

[10] M. Ekh, A. Menzel, K. Runesson, and P. Steinmann. Anisotropic damage with the mcr effect coupled to plasticity. International journal of engineering science, 41(13): 1535-1551, (2003).

DOI: 10.1016/s0020-7225(03)00032-6

[11] S. Forest. Micromorphic approach for gradient elasticity, viscoplasticity, and damage. Journal of Engineering Mechanics, 135(3): 117-131, (2009).

DOI: 10.1061/(asce)0733-9399(2009)135:3(117)

[12] O. Aslan and S. Forest. Crack growth modelling in single crystals based on higher order continua. Computational Materials Science, 45(3): 756-761, (2009).

DOI: 10.1016/j.commatsci.2008.09.016

[13] S. Wulfinghoff, E. Bayerschen, and T. Böhlke. A gradient plasticity grain boundary yield theory. International Journal of Plasticity, 51: 33-46, (2013).

DOI: 10.1016/j.ijplas.2013.07.001

[14] C. Miehe, F. Welschinger, and M. Hofacker. Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field fe implementations. International Journal for Numerical Methods in Engineering, 83(10): 1273-1311, (2010).

DOI: 10.1002/nme.2861

[15] M. Hofacker and C. Miehe. A phase field model of dynamic fracture: Robust field updates for the analysis of complex crack patterns. International Journal for Numerical Methods in Engineering, 93(3): 276-301, (2013).

DOI: 10.1002/nme.4387

[16] S. Reese. On the equivalence of mixed element formulations and the concept of reduced integration in large deformation problems. International Journal of Nonlinear Sciences and Numerical Simulation, 3(1): 1-34, (2002).

DOI: 10.1515/ijnsns.2002.3.1.1

[17] S. Reese. On a physically stabilized one point finite element formulation for threedimensional finite elasto-plasticity. Computer Methods in Applied Mechanics and Engineering, 194(45): 4685-4715, (2005).

DOI: 10.1016/j.cma.2004.12.012

[18] S. Wulfinghoff, S. Reese, and M. Fassin. Comparison of two time integration algorithms for an anisotropic damage model coupled to plasticity (submitted). In Proceedings of the International Conference On Damage Mechanics (ICDM2), (2015).

DOI: 10.4028/www.scientific.net/amm.784.292