A multiscale approach for the seismic analysis of concrete gravity dams

In this article, the problem of cracking in concrete gravity dams subjected to seismic loadings is examined under a multiscale perspective. Preliminarily, the size-scale effects on the mechanical parameters entering the nonlinear constitutive models of the interface crack are discussed. From a wide review of existing experimental results, it is shown that the material tensile strength, the fracture energy, the friction coefficient and the concrete compressive strength are strongly size-scale dependent. This evidence pinpoints the necessity of performing experimental testing on large scale specimens to assess the value of the parameters to be used in nonlinear fracture mechanics simulations. Moreover, the size-scale dependency of the interface constitutive properties implies the necessity of updating their values during crack propagation simulations. To do so, interface properties are not given in input a priori, but they are selected at each step of the simulation according to the specified scaling laws. The numerical simulations, based on the finite element method and a generalized interface constitutive law for contact and decohesion implemented in the node-to-segment contact strategy, show the high sensitivity of the phenomenon of crack propagation by the parameters of the damage law used to degrade the cohesive zone properties in case of repeated cycles.

[1]  H. P. Rossmanith,et al.  SIMULATION OF CRACKING IN LARGE ARCH DAM: PART I , 1989 .

[2]  Y. Fishman,et al.  Stability of concrete retaining structures and their interface with rock foundations , 2009 .

[3]  A. Carpinteri Scaling laws and renormalization groups for strength and toughness of disordered materials , 1994 .

[4]  Fabrizio Barpi,et al.  Numerical Simulation of Prenotched Gravity Dam Models , 2000 .

[5]  Anthony R. Ingraffea,et al.  Case studies of simulation of fracture in concrete dams , 1990 .

[6]  Alberto Carpinteri,et al.  Multifractal nature of concrete fracture surfaces and size effects on nominal fracture energy , 1995 .

[7]  Franco Braga,et al.  Seismic Analysis of Concrete Gravity Dams: Nonlinear Fracture Mechanics Models and Size-Scale Effects , 2011 .

[8]  Marco Paggi,et al.  Contact conductance of rough surfaces composed of modified RMD patches , 2011 .

[9]  Nick Barton,et al.  Experimental studies of scale effects on the shear behaviour of rock joints , 1981 .

[10]  P. Wriggers Computational contact mechanics , 2012 .

[11]  Bernhard A. Schrefler,et al.  A Contact Formulation for Electrical and Mechanical Resistance , 2002 .

[12]  Silvio Valente,et al.  Experimental and Numerical Fracture Modelling of a Gravity Dam , 1994, SP-143: New Experimental Techniques for Evaluating Concrete Material & Structural Performance.

[13]  Giuseppe Andrea Ferro,et al.  On dissipated energy density in compression for concrete , 2006 .

[14]  P. Panagiotopoulos Inequality problems in mechanics and applications , 1985 .

[15]  Angelo Masi,et al.  Peak and integral seismic parameters of L’Aquila 2009 ground motions: observed versus code provision values , 2011 .

[16]  V. Saouma,et al.  A fracture mechanics based seismic analysis of concrete gravity dams using discrete cracks , 1990 .

[17]  Mohsen Ghaemian,et al.  Large-scale testing on specific fracture energy determination of dam concrete , 2006 .

[18]  Philippe H. Geubelle,et al.  Comparative analysis of extrinsic and intrinsic cohesive models of dynamic fracture , 2003 .

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

[20]  T. Siegmund,et al.  An irreversible cohesive zone model for interface fatigue crack growth simulation , 2003 .

[21]  Alberto Carpinteri,et al.  Size effects on tensile fracture properties: a unified explanation based on disorder and fractality of concrete microstructure , 1994 .

[22]  Martin Z. Bazant,et al.  Scaling of strength and lifetime probability distributions of quasibrittle structures based on atomistic fracture mechanics , 2009, Proceedings of the National Academy of Sciences.

[23]  M. Jirásek,et al.  ANALYSIS OF ROTATING CRACK MODEL , 1998 .

[24]  J. Kishen,et al.  Fracture of cold jointed concrete interfaces , 2007 .

[25]  Marco Paggi,et al.  Modelling fatigue in quasi-brittle materials with incomplete self-similarity concepts , 2011 .

[26]  Alberto Corigliano,et al.  Numerical analysis of rate-dependent dynamic composite delamination , 2006 .

[27]  Alberto Carpinteri,et al.  A unified interface constitutive law for the study of fracture and contact problems in heterogeneous materials , 2006 .

[28]  A. Carpinteri,et al.  Size-Scale Effects on Strength, Friction and Fracture Energy of Faults: A Unified Interpretation According to Fractal Geometry , 2008 .

[29]  P. Geubelle,et al.  Impact-induced delamination of composites: A 2D simulation , 1998 .

[30]  Alberto Carpinteri,et al.  The effect of contact on the decohesion of laminated beams with multiple microcracks , 2008 .

[31]  G. Giuseppetti,et al.  Advanced dam analysis , 1990 .

[32]  N. Pal Seismic Cracking of Concrete Gravity Dams , 1976 .