Seismic cracking of concrete gravity dams by plastic-damage model using different damping mechanisms

Utilizing two different damping mechanisms, seismic cracking response of concrete gravity dams is examined by a plastic-damage model implemented in three-dimensional space. The material constitutive law employed herein is based on the one proposed by Lee and Fenves for the 2-D plane stress case. This plastic-damage model basically intended for cyclic or dynamic loading was founded on the combination of non-associated multi-hardening plasticity and isotropic damage theory to simulate the irreversible damages occurring in fracturing process of concrete. In this study, considering the HHT scheme as an implicit operator, the time integration procedure to iteratively solve the governing nonlinear equations is presented. Further, seismic fracture responses of gravity dams due to constant and damage-dependent damping mechanisms are compared. In order to assess the validity of the proposed model, several simple examples are solved and their results are presented first. Subsequently, Koyna gravity dam, which is a benchmark problem for the seismic fracture researches, is analyzed. It is concluded that employing the damage-dependent damping mechanism leads to more extensive damages and also predicts more reliable crack patterns in comparison with the constant damping mechanism in seismic analysis of concrete dams. Furthermore, including dam-water interaction intensifies the existing differences between the results of the two damping mechanisms.

[1]  Jeeho Lee,et al.  Plastic-Damage Model for Cyclic Loading of Concrete Structures , 1998 .

[2]  K. E. Løland.  Continuous damage model for load-response estimation of concrete , 1980 .

[3]  Dusan Krajcinovic,et al.  Damage model for brittle elastic solids with unequal tensile and compressive strengths , 1994 .

[4]  Kaspar Willam,et al.  A coupled elastoplastic damage model for geomaterials , 2004 .

[5]  Paul Steinmann,et al.  Anisotropic damage coupled to plasticity: Modelling based on the effective configuration concept , 2002 .

[6]  Milan Jirásek,et al.  Damage-plastic model for concrete failure , 2006 .

[7]  D. K. Paul,et al.  Influence of reservoir and foundation on the nonlinear dynamic response of concrete gravity dam , 2007 .

[8]  V. Lotfi,et al.  Application Of Pseudo-Symmetric Technique ForSeismic Analysis Of Concrete Arch Dams , 2007 .

[9]  Surendra P. Shah,et al.  Softening Response of Plain Concrete in Direct Tension , 1985 .

[10]  Gregory L. Fenves,et al.  A return-mapping algorithm for plastic-damage models: 3-D and plane stress formulation , 2001 .

[11]  Günter Hofstetter,et al.  Experimental verification of a constitutive model for concrete cracking , 2001 .

[12]  Jie Li,et al.  Unified plastic-damage model for concrete and its applications to dynamic nonlinear analysis of structures , 2007 .

[13]  George Z. Voyiadjis,et al.  A plasticity and anisotropic damage model for plain concrete , 2007 .

[14]  A. Chopra,et al.  The Koyna earthquake and the damage to Koyna Dam , 1973, Bulletin of the Seismological Society of America.

[15]  H. Schreyer,et al.  Combined Plasticity and Damage Mechanics Model for Plain Concrete , 1990 .

[16]  Giang D. Nguyen,et al.  Development of an approach to constitutive modelling of concrete : Isotropic damage coupled with plasticity , 2008 .

[17]  Miguel Cervera,et al.  A RATE-DEPENDENT ISOTROPIC DAMAGE MODEL FOR THE SEISMIC ANALYSIS OF CONCRETE DAMS , 1996 .

[18]  Jeeho Lee,et al.  A plastic-damage concrete model for earthquake analysis of dams , 1998 .

[19]  J. C. Simo,et al.  Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory , 1992 .

[20]  Filip C. Filippou,et al.  Numerical integration of a class of 3d plastic-damage concrete models and condensation of 3d stress–strain relations for use in beam finite elements , 2009 .

[21]  H. Mirzabozorg,et al.  Non‐linear behavior of mass concrete in three‐dimensional problems using a smeared crack approach , 2005 .

[22]  Jean Lemaitre,et al.  Coupled elasto-plasticity and damage constitutive equations , 1985 .

[23]  Omid Omidi,et al.  Finite Element Analysis of Concrete Structures Using Plastic- Damage Model in 3-D Implementation , 2010 .

[24]  Somasundaram Valliappan,et al.  Ageing Degradation of Concrete Dams Based on Damage Mechanics Concepts , 2009 .

[25]  Omid Omidi,et al.  NUMERICAL ANALYSIS OF CYCLICALLY LOADED CONCRETE UNDER LARGE TENSILE STRAINS BY THE PLASTIC-DAMAGE MODEL , 2010 .

[26]  J. F. Hall.  The dynamic and earthquake behaviour of concrete dams: review of experimental behaviour and observational evidence , 1988 .

[27]  Peter Grassl,et al.  Concrete in compression: a plasticity theory with a novel hardening law , 2002 .

[28]  George Z. Voyiadjis,et al.  Gradient-enhanced Coupled Plasticity-anisotropic Damage Model for Concrete Fracture: Computational Aspects and Applications , 2009 .

[29]  Rui Faria,et al.  Seismic evaluation of concrete dams via continuum damage models , 1995 .

[30]  Faouzi Ghrib,et al.  Nonlinear Behavior of Concrete Dams Using Damage Mechanics , 1995 .

[31]  Pierre Léger,et al.  Seismic cracking and energy dissipation in concrete gravity dams , 1993 .

[32]  Y. Calayır,et al.  Seismic fracture analysis of concrete gravity dams including dam-reservoir interaction , 2005 .

[33]  E. Oñate,et al.  A plastic-damage model for concrete , 1989 .

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

[35]  Nasser Khalili,et al.  Earthquake analysis of gravity dams based on damage mechanics concept , 1996 .

[36]  James O. Jirsa,et al.  Behavior of concrete under compressive loadings , 1969 .

[37]  O. A. Pekau,et al.  Seismic fracture analysis of concrete gravity dams based on nonlinear fracture mechanics , 2000 .

[38]  Ziad N. Taqieddin,et al.  Anisotropic damage-plasticity model for concrete , 2008 .

[39]  R. Tinawi,et al.  An application of damage mechanics for seismic analysis of concrete gravity dams , 1995 .

[40]  Zhang Wohua,et al.  Finite element analysis of anisotropic damage mechanics problems , 1990 .

[41]  Hideyuki Horii,et al.  Computational fracture analysis of concrete gravity dams by crack-embedded elements––toward an engineering evaluation of seismic safety , 2003 .

[42]  K. Willam,et al.  Triaxial failure criterion for concrete and its generalization , 1995 .

[43]  Nasser Khalili,et al.  Seismic analysis of arch dams—a continuum damage mechanics approach , 1999 .

[44]  Rui Faria,et al.  An energy release rate-based plastic-damage model for concrete , 2006 .