Adaptive mesh refinement FEM for seismic damage evolution in concrete-based structures

Abstract In order to study the seismic damage mechanisms of concrete-based structures, a adaptive multi-grid method is developed to simulate the process from evolving damage to structural failure in concrete structures under seismic loading. The theory of multi-grid FEM coupled evolving damage is developed on the basis of the improved variational principle, in which the elements in each sub-domain with different grid sizes are under the different state of damage. Meanwhile the FE elements can be refined adaptively with the accumulation of its damage for lower cost, without user intervention in the computation. As a case study of the method, the failure process of reinforced concrete column under seismic loading is simulated, the results show that, the simulated results fit well with the experiment, and the developed method can be used to reveal the seismic damage mechanism of concrete-based structures by considering the process from material damage to structural failure; the adaptive multi-grid method can give satisfactory result with lower cost by compared with experiment.

[1]  T.-H. Kim,et al.  Seismic damage assessment of reinforced concrete bridge columns , 2005 .

[2]  Alex H. Barbat,et al.  A compression-tension concrete damage model, applied to a wind turbine reinforced concrete tower , 2011 .

[3]  Trevor A. Dean,et al.  A Review on Damage Mechanisms, Models and Calibration Methods under Various Deformation Conditions , 2005 .

[4]  M.R.T. Arruda,et al.  A new hybrid-mixed stress model for the analysis of concrete structures using damage mechanics , 2013 .

[5]  C. Könke Coupling of micro- and macro-damage models for the simulation of damage evolution in ductile materials , 1997 .

[6]  P. Wriggers,et al.  Mesoscale models for concrete: homogenisation and damage behaviour , 2006 .

[7]  Yutaka Toi,et al.  Element-size independent, elasto-plastic damage analysis of framed structures using the adaptively shifted integration technique , 2011 .

[8]  Gerardo M. Verderame,et al.  Development and urban-scale application of a simplified method for seismic fragility assessment of RC buildings , 2015 .

[9]  Somnath Ghosh,et al.  A Voronoi Cell finite element model for particle cracking in elastic-plastic composite materials , 1998 .

[10]  George D. Hatzigeorgiou,et al.  A new damage index for plane steel frames exhibiting strength and stiffness degradation under seismic motion , 2013 .

[11]  Jacob Fish,et al.  Multiscale analysis of composite materials and structures , 2000 .

[12]  Somnath Ghosh,et al.  Multiple scale analysis of heterogeneous elastic structures using homogenization theory and voronoi cell finite element method , 1995 .

[13]  Somnath Ghosh,et al.  Adaptive concurrent multi-level model for multi-scale analysis of ductile fracture in heterogeneous aluminum alloys , 2013 .

[14]  A. Ghosh,et al.  Computational modeling of fracture in concrete using a meshfree meso-macro-multiscale method , 2013 .

[15]  Carl Labergère,et al.  2D adaptive mesh methodology for the simulation of metal forming processes with damage , 2011 .

[16]  Gilles Pijaudier-Cabot,et al.  CONTINUUM DAMAGE THEORY - APPLICATION TO CONCRETE , 1989 .

[17]  Somnath Ghosh,et al.  Adaptivity and convergence in the Voronoi cell finite element model for analyzing heterogeneous materials , 2000 .

[18]  白以龙,et al.  Sample-specific behavior in failure models of disordered medial , 1996 .

[19]  Somnath Ghosh,et al.  A multi-level computational model for multi-scale damage analysis in composite and porous materials , 2001 .

[20]  Ahmet Yakut,et al.  Component damage functions for reinforced concrete frame structures , 2007 .

[21]  Fujiu Ke,et al.  Adaptive mesh refinement FEM for damage evolution of heterogeneous brittle media , 2005 .

[22]  Bin Sun,et al.  Adaptive image-based method for integrated multi-scale modeling of damage evolution in heterogeneous concrete , 2015 .

[23]  白以龙,et al.  Critical Sensitivity and Trans-Scale Fluctuations in Catastrophic Rupture , 2002 .

[24]  Jinping Ou,et al.  Earthquake-resistant design of buckling-restrained braced RC moment frames using performance-based plastic design method , 2016 .

[25]  Jacob Fish,et al.  Computational damage mechanics for composite materials based on mathematical homogenization , 1999 .

[26]  Jacob Fish,et al.  Multiscale damage modelling for composite materials: theory and computational framework , 2001 .

[27]  Hong Hao,et al.  Mesoscale modelling of concrete tensile failure mechanism at high strain rates , 2008 .

[28]  Roberto Scotta,et al.  A scalar damage model with a shear retention factor for the analysis of reinforced concrete structures: theory and validation , 2001 .

[29]  Hermann G. Matthies,et al.  Multi‐scale modeling of heterogeneous structures with inelastic constitutive behaviour: Part I – physical and mathematical aspects , 2005 .

[30]  C. Könke,et al.  Damage evolution in ductile materials: from micro- to macro-damage , 1995 .

[31]  Yujie Wei,et al.  Critical Sensitivity and Trans-scale Fluctuations in Catastrophic Rupture , 2002 .