Simulation of Interfacial Corner Cracks in Bimaterial Systems

Corner Cracks ◽

A phenomenological model focused on modeling the shape of such interface cracks and calculating the critical stress for steady-state propagation has been developed. The crack propagation is investigated by estimating the fracture mechanics parameters that include the strain energy release rate, crack front profiles and the three-dimensional mode-mixity along the crack front. A numerical approach is then applied for coupling the far field solutions utilizing the capability of the Finite Element Method to the near field (crack tip) solutions based on the J-integral. The developed two-dimensional numerical approach for the calculation of fracture mechanical properties has been validated with three-dimensional models for varying crack front shapes. In this study, a custom quantitative approach was formulated based on the finite element method with iterative adjustment of the crack front to estimate the critical delamination stress as a function of the fracture criterion and corner angles. The implication of the results on the delamination is discussed in terms of crack front profiles and the critical stresses, which can then be used as the framework for modeling reliability of advanced interconnects system.

A Computational Method for Modeling Interface Corner Crack under Steady-State Delamination

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.486.457 ◽

2012 ◽

Vol 486 ◽

pp. 457-463

Author(s):

Badrinath Veluri ◽

Henrik Myhre Jensen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Steady State ◽

Crack Front ◽

Strain Energy Release ◽

Computational Method ◽

Corner Crack ◽

Corner Cracks ◽

Corner cracks under steady-state delamination were investigated. The fracture mechanics parameters that include the strain energy release rate and the three-dimensional mode-mixity along the interface crack front are estimated. A numerical approach was then applied for coupling the far field solutions based on the Finite Element Method to the near field (crack tip) solutions based on the J-integral methodology. A quantitative approach was formulated based on the finite element method with iterative adjustment of the crack front nodal coordinates to estimate the critical delamination stresses as a function of the fracture criterion and corner angles.

Modeling Delamination of Interfacial Corner Cracks in Multilayered Structures

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.525-526.509 ◽

2012 ◽

Vol 525-526 ◽

pp. 509-512

Author(s):

Badrinath Veluri ◽

Henrik Myhre Jensen

Keyword(s):

Crack Front ◽

Fracture Criterion ◽

Three Dimensional ◽

Strain Energy Release ◽

Numerical Approach ◽

Multilayered Structures ◽

Three Dimensional Models ◽

Corner Cracks ◽

State Propagation

Multilayered electronic components, typically of heterogeneous materials, delaminate under thermal and mechanical loading. A phenomenological model focused on modeling the shape of such interface cracks close to corners in layered interconnect structures for calculating the critical stress for steady-state propagation has been developed. The crack propagation is investigated by estimating the fracture mechanics parameters that include the strain energy release rate, crack front profiles and the three-dimensional mode-mixity along the crack front. The developed numerical approach for the calculation of fracture mechanical properties has been validated with three-dimensional models for varying crack front shapes. A custom quantitative approach was formulated based on the finite element method with iterative adjustment of the crack front to estimate the critical delamination stress as a function of the fracture criterion and corner angles.

Towards Predicting Relative Belt Edge Endurance With the Finite Element Method

Tire Science and Technology ◽

10.2346/1.2141701 ◽

1990 ◽

Vol 18 (4) ◽

pp. 216-235 ◽

Cited By ~ 19

Author(s):

J. De Eskinazi ◽

K. Ishihara ◽

H. Volk ◽

T. C. Warholic

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Three Dimensional ◽

Shear Deformations ◽

Element Analysis ◽

Vertical Loading ◽

Predicted Values ◽

Abstract The paper describes the intention of the authors to determine whether it is possible to predict relative belt edge endurance for radial passenger car tires using the finite element method. Three groups of tires with different belt edge configurations were tested on a fleet test in an attempt to validate predictions from the finite element results. A two-dimensional, axisymmetric finite element analysis was first used to determine if the results from such an analysis, with emphasis on the shear deformations between the belts, could be used to predict a relative ranking for belt edge endurance. It is shown that such an analysis can lead to erroneous conclusions. A three-dimensional analysis in which tires are modeled under free rotation and static vertical loading was performed next. This approach resulted in an improvement in the quality of the correlations. The differences in the predicted values of various stress analysis parameters for the three belt edge configurations are studied and their implication on predicting belt edge endurance is discussed.

The Convergence of the H-P Version of the Finite Element Method with Quasi-Uniform Meshes for Three Dimensional Poisson Problems with Edge Singularity

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.644-650.1551 ◽

2014 ◽

Vol 644-650 ◽

pp. 1551-1555

Author(s):

Jian Ming Zhang ◽

Yong He

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Weighted Sobolev Spaces ◽

Three Dimensional ◽

Smooth Functions ◽

Edge Singularity ◽

Theoretical Predictions ◽

Theoretical Results ◽

This paper is concerned with the convergence of the h-p version of the finite element method for three dimensional Poisson problems with edge singularity on quasi-uniform meshes. First, we present the theoretical results for the convergence of the h-p version of the finite element method with quasi-uniform meshes for elliptic problems on polyhedral domains on smooth functions in the framework of Jacobi-weighted Sobolev spaces. Second, we investigate and analyze numerical results for three dimensional Poission problems with edge singularity. Finally, we verified the theoretical predictions by the numerical computation.

Nuclear Instruments and Methods in Physics Research Section A Accelerators Spectrometers Detectors and Associated Equipment ◽

Numerical study of effects of the beam tube on laser fields with a three-dimensional simulation code using the finite element method

10.1016/s0168-9002(99)00119-9 ◽

1999 ◽

Vol 429 (1-3) ◽

pp. 414-418 ◽

Cited By ~ 1

Author(s):

Masaaki Sobajima ◽

Yonggui Li ◽

Tetsuo Yamazaki ◽

Kiyoshi Yoshikawa ◽

Masami Ohnishi ◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Numerical Study ◽

Three Dimensional ◽

Laser Fields ◽

Simulation Code ◽

Beam Tube ◽

Dimensional Simulation ◽

Finite-Element Simulation of the Barnes Ice Cap

Journal of Glaciology ◽

10.1017/s0022143000015033 ◽

1979 ◽

Vol 24 (90) ◽

pp. 489-490 ◽

Cited By ~ 2

Author(s):

J. J. Emery ◽

E. A. Hanafy ◽

G. H. Holdsworth ◽

F. Mirza

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Simulation Model ◽

Feasibility Study ◽

Three Dimensional ◽

Ice Cap ◽

Stress Dependent ◽

Analytical Approaches ◽

Abstract The finite-element method is being used to simulate glacier flow problems, with particular emphasis on the surge behaviour of the Barnes Ice Cap, Baffin Island. Following an advanced feasibility study to determine the influence of major factors such as bed topography and flow relationships, a refined simulation model is being developed to incorporate realistically: the thermal regime of the ice mass; large deformations during flow and sliding; basal sliding zones; a temperature and stress dependent ice flow relationship; mass balance; and three-dimensional influences. The findings of the advanced feasibility study on isothermal, steady-state flow of the Barnes Ice Cap are presented in the paper before turning to a detailed discussion of the refined simulation model and its application to surging. It is clear that the finite-element method allows necessary refinements not available to analytical approaches.