Cohesive Modeling of Dynamic Crack Growth in Homogeneous and Functionally Graded Materials

2008 ◽  
Author(s):  
Zhengyu Zhang ◽  
Glaucio H. Paulino ◽  
Waldemar Celes ◽  
Glaucio H. Paulino ◽  
Marek-Jerzy Pindera ◽  
...  
2015 ◽  
Vol 18 (2) ◽  
pp. 59-66
Author(s):  
Nha Thanh Nguyen ◽  
Bang Kim Tran ◽  
Tinh Quoc Bui ◽  
Thien Tich Truong

Functionally graded materials (FGMs) have been widely used as advanced materials characterized by variation in properties as the dimension varies. Studies on their physical responses under in-serve or external loading conditions are necessary. Especially, crack behavior analysis for these advanced material is one of the most essential in engineering. In this present, an extended meshfree radial point interpolation method (RPIM) is applied for calculating static and dynamic stress intensity factors (SIFs) in functionally graded materials. Typical advantages of RPIM shape function are the satisfactions of the Kronecker’s delta property and the high-order continuity. To assess the static and dynamic stress intensity factors, non-homogeneous form of interaction integral with the nonhomogeneous asymptotic near crack tip fields is used. Several benchmark examples in 2D crack problem are performed such as static and dynamic crack parameters calculation. The obtained results are compared with other existing solutions to illustrate the correction of the presented approach.


2008 ◽  
Author(s):  
Vijaya B. Chalivendra ◽  
Glaucio H. Paulino ◽  
Marek-Jerzy Pindera ◽  
Robert H. Dodds ◽  
Fernando A. Rochinha ◽  
...  

2005 ◽  
Vol 492-493 ◽  
pp. 409-414 ◽  
Author(s):  
Jeong Ho Kim ◽  
Glaucio H. Paulino

This paper presents numerical simulation of mixed-mode crack propagation in functionally graded materials by means of a remeshing algorithm in conjunction with the finite element method. Each step of crack growth simulation consists of the calculation of the mixedmode stress intensity factors by means of a non-equilibrium formulation of the interaction integral method, determination of the crack growth direction based on a specific fracture criterion, and local automatic remeshing along the crack path. A specific fracture criterion is tailored for FGMs based on the assumption of local homogenization of asymptotic crack-tip fields in FGMs. The present approach uses a user-defined crack increment at the beginning of the simulation. Crack trajectories obtained by the present numerical simulation are compared with available experimental results.


2008 ◽  
Author(s):  
Serkan Dag ◽  
Baris Sabuncuoglu ◽  
Bora Yildirim ◽  
Glaucio H. Paulino ◽  
Marek-Jerzy Pindera ◽  
...  

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