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A coupled damage-viscoplasticity model for the analysis of localisation and size effects
J. M. Reynouard,J. F. Georgin,L. J. Sluys 한국계산역학회 2004 Computers and Concrete, An International Journal Vol.1 No.2
A coupled damage-viscoplasticity model is presented for the analysis of localisation and size effects. On one hand, viscosity helps to avoid mesh sensitivity because of the introduction of a length scale in the model and, on the other hand, enables to represent size effects. Size effects were analysed by means of three-point bending tests. Correlation between the fracture energy parameter measured experimentally and the density fracture energy modelling parameter is discussed. It has been shown that the dependence of nominal strength and fracture energy on size is determined by the ligament length in comparison with the width of the fracture process zone.
Askes, H.,Sluys, L.J.,de Jong, B.B.C. Techno-Press 2001 Structural Engineering and Mechanics, An Int'l Jou Vol.12 No.5
Remeshing strategies are formulated for r-adaptive and h/r-adaptive analysis of crack propagation. The relocation of the nodes, which typifies r-adaptivity, is a very cheap method to optimise a given discretisation since the element connectivity remains unaltered. However, the applicability is limited. To further improve the finite element mesh, a combined h/r-adaptive method is proposed in which h-adaptivity is applied whenever r-adaptivity is not capable of further improving the discretisation. Two and three-dimensional examples are presented. It is shown that the r-adaptive approach can optimise a discretisation at minimal computational costs. Further, the combined h/r-adaptive approach improves the performance of a fully r-adaptive technique while the number of h-remeshings is reduced compared to a fully h-adaptive technique.
Guo, Z.Q.,Sluys, L.J. Techno-Press 2008 Interaction and multiscale mechanics Vol.1 No.3
When carbon-filled rubber specimens are subjected to cyclic loading, they do not return to their initial state after loading and subsequent unloading, but exhibit a residual strain or permanent deformation. We propose a specific form of the pseudo-elastic energy function to represent cyclic loading for incompressible, isotropic materials with stress softening and residual strain. The essence of the pseudo-elasticity theory is that material behaviour in the primary loading path is described by a common elastic strain energy function, and in unloading, reloading or secondary unloading paths by a different strain energy function. The switch between strain energy functions is controlled by the incorporation of a damage variable into the strain energy function. An extra term is added to describe the permanent deformation. The finite element implementation of the proposed model is presented in this paper. All parameters in the proposed model and elastic law can be easily estimated based on experimental data. The numerical analyses show that the results are in good agreement with experimental data.
An experimental-computational investigation of fracture in brittle materials
K. De Proft,G. N. Wells,L. J. Sluys,W. P. De Wilde 한국계산역학회 2004 Computers and Concrete, An International Journal Vol.1 No.3
A combined experimental-computational study of a double edge-notched stone specimen subjected to tensile loading is presented. In the experimental part, the load-deformation response and the displacement field around the crack tip are recorded. An Electronic Speckle Pattern Interferometer (ESPI) is used to obtain the local displacement field. The experimental results are used to validate a numerical model for the description of fracture using finite elements. The numerical model uses displacement discontinuities to model cracks. At the discontinuity, a plasticity-based cohesive zone model is applied for monotonic loading and a combined damage-plasticity cohesive zone model is used for cyclic loading. Both local and global results from the numerical simulations are compared with experimental data. It is shown that local measurements add important information for the validation of the numerical model. Consequently, the numerical models are enhanced in order to correctly capture the experimentally observed behaviour.
Gradient Viscoplastic Modelling of Material Instabilities in Metals
Wang, W . M .,Askes, H .,Sluys, L . J . 대한금속재료학회(대한금속학회) 1998 METALS AND MATERIALS International Vol.4 No.3
A gradient viscoplasticity model has been used to analyse stationary and propagative instabilities. It is demonstrated that the use of viscous regularisation is effective for both quasistatic and dynamic problems. Due to the influence of the length scales that are introduced in the model, the numerical simulation gives mesh-objective results with a finite width and unique orientation of the shear band. The numerical simulation of shear banding and propagative Portevin-Le Chatelier bands will be discussed. A 3D analysis of shear banding is shown to give significantly different results than the 2D plane strain analysis under similar conditions. Very fine meshes are needed to obtain accurate solutions for the shear hand. The Arbitrary Lagrangian Eulerian remeshing method will be used to relocate elements from outside to inside the shear band to minimise computer costs.