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Modello a danneggiamento anisotropo con differente risposta trazione- compressione per materiali quasi fragili
Friction-Damage coupled models for brittle materials
By considering a tensorial description of the damage and of the unilateral and frictional effects on the displacement jump across the crack faces, an anisotropic constitutive model based on the assumption of linear elastic matrix weakened by microcraks is derived. Damage and sliding evolutions are obtained on the basis of proper limit conditions and associated flow rules. This treatment implies a different tensile-compressive response because under triaxial tensile stress states only the damage limit condition is effective, otherwise this condition must be coupled with the frictional sliding one. By considering proportional loading paths, limit strength domains can be obtained which are depending on the microcracking parameters and on the friction coefficient. Finally, the influence of the internal friction on the limit strength domains provided by the presented model is shown with reference to biaxial stress states.By considering a tensorial description of the damage and of the unilateral and frictional effects on the displacement jump across the crack faces, an anisotropic constitutive model based on the assumption of linear elastic matrix weakened by microcraks is derived. Damage and sliding evolutions are obtained on the basis of proper limit conditions and associated flow rules. This treatment implies a different tensile-compressive response because under triaxial tensile stress states only the damage limit condition is effective, otherwise this condition must be coupled with the frictional sliding one. By considering proportional loading paths, limit strength domains can be obtained which are depending on the microcracking parameters and on the friction coefficient. Finally, the influence of the internal friction on the limit strength domains provided by the presented model is shown with reference to biaxial stress states. © 2003 Elsevier Ltd. All rights reserved
Anisotropic microcrack-based frictional damage model for brittle materials
An anisotropic constitutive model based on the assumption of linear elastic matrix weakened by microcraks is derived by assuming a tensorial description of the damage and of the unilateral andfrictional effects on the displacement jump across the crack faces. Damage and sliding evolutions are obtained by defining proper limit conditions and associated flow rules. This treatment implies a different tensile-compressive response because under triaxial tensile stress states only the damage limit condition is effective, otherwise this condition must be coupled with the frictional sliding one. By considering monotonic loading paths, the constitutive equations provide limit strength domains; limit domains for the case of biaxial stress states are obtained and their dependence on the friction coefficient is show
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