A visco‐damage model for brittle materials under monotonic and sustained stresses

A theoretical model is proposed to describe the evolution of damage in brittle materials, such as concrete and masonry, subjected to increasing or sustained stresses of relatively high intensity. The model is based on the introduction of suitable damage variables in a rheological model. In this way, it is possible to describe the material behaviour under stresses either increasing or constant in time. The capabilities of the model in describing the mechanical response of material elements subjected to different stress histories are illustrated. Some correlations with experimental data from tests performed on masonry and concrete specimens are presented, to assess the reliability of the theoretical predictions. The results of some numerical applications to non-proportional stress paths are also illustrated. Finally, the limitations of the proposal are discussed and possible further improvements are envisaged. Copyright © 2005 John Wiley & Sons, Ltd.

[1]  Alberto Taliercio,et al.  FATIGUE LIFE AND CHANGE IN MECHANICAL PROPERTIES OF PLAIN CONCRETE UNDER TRIAXIAL DEVIATORIC CYCLIC STRESSES , 1998 .

[2]  C. Borderie.  Phénomènes unilatéraux dans un matériau endommageable : Modélisation et application à l'analyse de structures en béton. , 1991 .

[3]  S. R. Bodner,et al.  Damage-induced nonassociated inelastic flow in rock salt , 1994 .

[4]  Alberto Taliercio,et al.  Anisotropic damage model for the multiaxial static and fatigue behaviour of plain concrete , 1996 .

[5]  Z. Bažant,et al.  Strain Softening with Creep and Exponential Algorithm , 1985 .

[6]  Chengsheng Ouyang,et al.  Damage model for cyclic loading of concrete , 1990 .

[7]  Alberto Taliercio,et al.  Experimental investigation on the triaxial fatigue behaviour of plain concrete , 1996 .

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

[9]  J. Mazars,et al.  The unilateral behaviour of damaged concrete , 1990 .

[10]  Luigia Binda,et al.  Safety assessment of ancient masonry towers , 2001 .

[11]  Claudio Mazzotti,et al.  Nonlinear Creep Damage Model for Concrete under Uniaxial Compression , 2003 .

[12]  J. Chaboche,et al.  Mechanics of Solid Materials , 1990 .

[13]  Jian-Fu Shao,et al.  Modeling of elastoplastic damage behavior of a claystone , 2003 .

[14]  J. B. Martin,et al.  A progressive damage «continuum» model for granular materials , 1984 .

[15]  Alberto Taliercio,et al.  Anisotropic damage model for the triaxial creep behaviour of plain concrete , 1998 .

[16]  S. R. Bodner,et al.  A constitutive model for inelastic flow and damage evolution in solids under triaxial compression , 1992 .

[17]  Alberto Taliercio,et al.  Prediction of the evolution of damage in ancient masonry towers , 2000 .

[18]  Mark Kachanov,et al.  Elastic solids with many cracks: A simple method of analysis , 1987 .

[19]  Alberto Taliercio,et al.  Effect of elevated triaxial cyclic and constant loads on the mechanical properties of plain concrete , 1997 .

[20]  S. G. Lekhnit︠s︡kiĭ.  Theory of elasticity of an anisotropic body , 1981 .

[21]  J. Mazars.  A description of micro- and macroscale damage of concrete structures , 1986 .

[22]  Michael Ortiz,et al.  A constitutive theory for the inelastic behavior of concrete , 1985 .

[23]  E. Papa.  A unilateral damage model for masonry based on a homogenisation procedure , 1996 .