Abstract
This paper is a study of the numerical implementation of the spatial elastoplastic damage model of concrete by isogeometric analysis (IGA) method from three perspectives: the geometric modeling and the numerical formulation via IGA method, the constitutive model of concrete, and the solution algorithms for the local and global problems. The plasticity of concrete is considered on the basis of a nonassociated flow rule, where a three-parameter Barcelona yield surface and a modified Drucker-Prager plastic potential are used. The damage evolution of concrete driven by the internal variables is expressed by a piecewise function. In the study, the return-mapping algorithm and the substepping strategy are used for stress updating, and a new dissipation-based arc-length method with constraint path that considers the combined contribution of plasticity and damage to the energy dissipation is employed to trace the equilibrium path. After comparisons between simulation results and experimental data, the use of the elastoplastic damage model in the framework of IGA approach is proven to be practical in reflecting material properties of concrete.
Highlights
Armed with the progress of computer science and the indepth study of computational theory, the numerical simulation technology of concrete structures has been developing towards highly advanced analysis that requires comprehensive capture of mechanical responses, especially the postcrack performances in three-dimensional (3D) space
In the traditional finite element modeling, computeraided design (CAD) and computer-aided engineering (CAE) are constructed on two different platforms based on one-way information transmission which is complex and time-consuming
This paper introduces a numerical framework of implementing the spatial elastoplastic damage model of concrete via the recently developed isogeometric analysis (IGA) method
Summary
Armed with the progress of computer science and the indepth study of computational theory, the numerical simulation technology of concrete structures has been developing towards highly advanced analysis that requires comprehensive capture of mechanical responses, especially the postcrack performances in three-dimensional (3D) space. The modeling of concrete mechanism is a crux in the advanced analysis due to high material nonlinearity. Concrete behavior can be simulated by elastic, elastic-plastic, or elastoplastic damage models. The solution algorithm is a highly nonlinear issue that can be separated into the solutions of local and global problems to be solved at the level of Gaussian point as well as the level of structure, respectively. The use of IGA has been widely explored in geometric modeling and mechanical engineering, but the extension use of it to structural analysis is rare. The knowledge for the numerical implementation of spatial elastoplastic damage model of concrete via IGA is introduced in detail from three aspects, that is, the geometric modeling and the numerical formulation of IGA, the constitutive model of concrete, and the solution algorithms for the local and global problems
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