Analysis of interface crack in piezoelectric materials using extended finite element method

2018 ◽  
Vol 26 (17) ◽  
pp. 1447-1457 ◽  
Author(s):  
Gulab Pamnani ◽  
Somnath Bhattacharya ◽  
Subhashish Sanyal
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Interface Crack ◽  
Extended Finite Element Method ◽  
Piezoelectric Materials ◽  
Extended Finite Element ◽  
Element Method

Analysis of Semipermeable Crack Growth in Piezoelectric Materials Using Extended Finite Element Method

2017 ◽  
Vol 09 (07) ◽  
pp. 1750106 ◽  
Author(s):  
G. Pamnani ◽  
S. Bhattacharya ◽  
S. Sanyal
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Growth ◽  
Extended Finite Element Method ◽  
Electromechanical Coupling ◽  
Piezoelectric Materials ◽  
Integral Approach ◽  
Intensity Factors ◽  
Extended Finite Element ◽  
Element Method

Piezoelectric materials possess special characteristics of electromechanical coupling behavior and thus have found numerous applications such as transducers, sensors, actuators. Fracture of piezoelectric materials has drawn substantial attention of the research community and is being widely investigated for predicting their failure. Most of the research on piezoelectric materials is based on impermeable crack conditions. In the present study semi-permeable crack boundary conditions has been analyzed using the extended finite element method (XFEM). Combined Mechanical and Electrical loading with quasi-static crack growth has been considered on a pre-cracked rectangular plate with crack at its edge and center. Stress intensity factors have been evaluated by interaction integral approach using the asymptotic crack tip fields. Effect of presence of minor cracks and holes have been analyzed on the intensity factors of semi-permeable major crack.

scholarly journals A Cell-Based Smoothed XFEM for Fracture in Piezoelectric Materials

2016 ◽  
Vol 2016 ◽  
pp. 1-14 ◽  
Author(s):  
Li Ming Zhou ◽  
Guang Wei Meng ◽  
Feng Li ◽  
Shuai Gu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Extended Finite Element Method ◽  
Piezoelectric Materials ◽  
Crack Tip ◽  
Extended Finite Element ◽  
Boundary Integration ◽  
Smoothed Finite Element Method ◽  
A Cell ◽  
Element Method

This paper presents a cell-based smoothed extended finite element method (CS-XFEM) to analyze fractures in piezoelectric materials. The method, which combines the cell-based smoothed finite element method (CS-FEM) and the extended finite element method (XFEM), shows advantages of both methods. The crack tip enrichment functions are specially derived to represent the characteristics of the displacement field and electric field around the crack tip in piezoelectric materials. With the help of the smoothing technique, integrating the singular derivatives of the crack tip enrichment functions is avoided by transforming interior integration into boundary integration. This is a significant advantage over XFEM. Numerical examples are presented to highlight the accuracy of the proposed CS-XFEM with the analytical solutions and the XFEM results.

scholarly journals A mesh-independent framework for crack tracking in elastodamaging materials through the regularized extended finite element method

2021 ◽  
Author(s):  
Elena Benvenuti ◽  
Nicola Orlando
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Damage Evolution ◽  
Extended Finite Element Method ◽  
Mesh Adaptivity ◽  
Extended Finite Element ◽  
Evolution Law ◽  
Crack Paths ◽  
Original Crack ◽  
Element Method

AbstractWe propose a formulation for tracking general crack paths in elastodamaging materials without mesh adaptivity and broadening of the damage band. The idea is to treat in a unified way both the damaging process and the development of displacement discontinuities by means of the regularized finite element method. With respect to previous authors’ contributions, a novel damage evolution law and an original crack tracking framework are proposed. We face the issue of mesh objectivity through several two-dimensional tests, obtaining smooth crack paths and reliable structural results.

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