Finite heterogeneous element method using sliced microstructures for linear elastic analysis

2014 ◽  
Vol 98 (10) ◽  
pp. 703-720
Author(s):  
Yoshiro Suzuki
Keyword(s):  
Elastic Analysis ◽  
Linear Elastic ◽  
Element Method ◽  
Heterogeneous Element

OS1004 A proposal of a finite heterogeneous element method for linear elastic analysis

2013 ◽  
Vol 2013 (0) ◽  
pp. _OS1004-1_-_OS1004-3_
Author(s):  
Yoshiro SUZUKI ◽  
Akira TODOROKI ◽  
Yoshihiro MIZUTANI
Keyword(s):  
Elastic Analysis ◽  
Linear Elastic ◽  
Element Method ◽  
Heterogeneous Element

Mesh Sensitivity and FEA for Multi-Layered Electronic Packaging

1999 ◽  
Vol 123 (3) ◽  
pp. 218-224 ◽  
Author(s):  
Cemal Basaran ◽  
Ying Zhao
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Damage Mechanics ◽  
Stress Singularity ◽  
Free Edge ◽  
Elastic Analysis ◽  
Linear Elastic ◽  
Inelastic Analysis ◽  
Mesh Sensitivity ◽  
Element Method

Multi-layered stacks are commonly used in microelectronic packaging. Traditionally, these systems are designed using linear-elastic analysis either with analytical solutions or finite element method. Linear-elastic analysis for layered structures yields very conservative results due to stress singularity at the free edge. In this paper, it is shown that a damage mechanics based nonlinear analysis not just leads to a more realistic analysis but also provides more accurate stress distribution. In this paper these two approaches are compared. Moreover, mesh sensitivity of the finite element analysis in stack problems is studied. It is shown that the closed form and elastic finite element analyses can only be used for preliminary studies and elastic finite element method is highly mesh sensitive for this problem. In elastic analysis the stress singularity at the free edge makes mesh selection very difficult. Even when asymptotic analysis is used at the free edge, the results are very conservative compared to an inelastic analysis. Rate sensitive inelastic analysis does not suffer from the stress singularity and mesh sensitivity problems encountered in elastic analysis.

scholarly journals Applied mechanics of the Puricelli osteotomy: a linear elastic analysis with the finite element method

2007 ◽  
Vol 3 (1) ◽  
Author(s):  
Edela Puricelli ◽  
Jun Sérgio Ono Fonseca ◽  
Marcel Fasolo de Paris ◽  
Hervandil Sant'Anna
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Elastic Analysis ◽  
Applied Mechanics ◽  
The Finite Element Method ◽  
Linear Elastic ◽  
Element Method

scholarly journals Variation Simulation of Fixtured Assembly Processes for Compliant Structures Using Piecewise-Linear Analysis

2005 ◽  
Author(s):  
Michael L. Stewart ◽  
Kenneth W. Chase
Keyword(s):  
Piecewise Linear ◽  
Element Model ◽  
Linear Analysis ◽  
Elastic Analysis ◽  
Variation Analysis ◽  
Linear Elastic ◽  
Final Assembly ◽  
Compliant Part ◽  
Assembly Operations ◽  
Variation Simulation

While variation analysis methods for compliant assemblies are becoming established, there is still much to be done to model the effects of multi-step, fixtured assembly processes statistically. A new method is introduced for statistically analyzing compliant part assembly processes using fixtures. This method yields both a mean and a variant solution, which can characterize an entire population of assemblies. The method, called Piecewise-Linear Elastic Analysis, or PLEA, is developed for predicting the residual stress, deformation and springback variation resulting from fixtured assembly processes. A comprehensive, step-by-step analysis map is presented for introducing dimensional and surface variations into a finite element model, simulating assembly operations, and calculating the error in the final assembly. PLEA is validated on a simple, laboratory assembly and a more complex, production assembly. Significant modeling issues are resolved as well as the comparison of the analytical to physical results.

Implementation of p and h-p Versions of the Finite Element Method

1992 ◽  
Author(s):  
Ye-Chen Lai ◽  
Timothy C. S. Liang ◽  
Zhenxue Jia
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Elastic Analysis ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
Shape Functions ◽  
Linear Elastic ◽  
Finite Element Software ◽  
Analysis Process ◽  
Adaptive Analysis

Abstract Based on hierarchic shape functions and an effective convergence procedure, the p-version and h-p adaptive analysis capabilities were incorporated into a finite element software system, called COSMOS/M. The range of the polynomial orders can be varied from 1 to 10 for two dimensional linear elastic analysis. In the h-p adaptive analysis process, a refined mesh are first achieved via adaptive h-refinement. The p-refinement is then added on to the h-version designed mesh by uniformly increasing the degree of the polynomials. Some numerical results computed by COSMOS/M are presented to illustrate the performance of these p and h-p analysis capabilities.

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