Peridynamic Modeling of Fracture and Failure of Materials
Final rept. 1 Mar 2010-30 Apr 2013
ARIZONA UNIV TUCSON DEPT OF AEROSPACE AND MECHANICAL ENGINEERING
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This study presents the capability of the use of the peridynamic laminate theory to capture both the failure progression and residual strength of monolithic and composite laminates. Predicting damage and residual strengths of composite materials involves capturing complex, distinct and progressive failure modes. Peridynamics is a reformulation of classical continuum mechanics that utilizes integral equations in place of partial differential equations to remove the difficulty in handling discontinuities, such as cracks or interfaces, within a body. Damage is included within the constitutive model initiation and propagation can occur without resorting to special crack growth criteria necessary in other commonly utilized approaches. The peridynamic theory realistically models the load redistribution arising from the presence of complex failure modes through the use of multiple interaction types. This study specifically employs an inverse approach to obtain the critical peridynamic failure parameters necessary to capture the residual strength of a structure. The validity of the inverse approach is demonstrated by first considering its application in determining the residual strength of isotropic materials with pre-existing cracks. Its validity is also demonstrated by predicting failure loads and final failure.
- Laminates and Composite Materials