Quadratic programming contact formulation for elastic bodies using boundary element method

AIAA Journal ◽  
1995 ◽  
Vol 33 (2) ◽  
pp. 325-331 ◽  
Author(s):  
Srdan Simunovic ◽  
Sunil Saigal
Keyword(s):  
Boundary Element Method ◽  
Quadratic Programming ◽  
Boundary Element ◽  
Elastic Bodies ◽  
Contact Formulation ◽  
Element Method

Three-Dimensional Contact Boundary Element Method for Roller Bearing

2005 ◽  
Vol 72 (6) ◽  
pp. 962-965 ◽  
Author(s):  
Guangxian Shen ◽  
Xuedao Shu ◽  
Ming Li
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Roller Bearing ◽  
Three Dimensional ◽  
Contact Boundary ◽  
Body Contact ◽  
Elastic Bodies ◽  
Roller Body ◽  
Multi Body ◽  
Element Method

The analysis of the forces and the rigidity of roller bearings is a multi-body contact problem, so it cannot be solved by contact boundary element method (BEM) for two elastic bodies. Based on the three-dimensional elastic contact BEM, according to the character of roller bearing, the new solution given in this paper replaces the roller body with a plate element and traction subelement. Linear elements are used in non-contact areas and a quadratic element is used in the contact area. The load distribution among the roller bodies and the load status in the inner rolling body can be extracted.

scholarly journals Simulation of 2D Elastic Bodies with Randomly Distributed Circular Inclusions Using the BEM

2007 ◽  
Vol 1 (2) ◽  
Author(s):  
Yao Zhenhan ◽  
Kong Fanzhong ◽  
Zheng Xiaoping
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Boundary Integral ◽  
The Finite Element Method ◽  
Numerical Examples ◽  
Elastic Bodies ◽  
Integral Equation Formulation ◽  
Elasticity Problems ◽  
The Given ◽  
Element Method

Based on the Rizzo’s direct boundary integral equation formulation for elasticity problems, elastic bodies with randomly distributed circular inclusions are simulated using the boundary element method. The given numerical examples show that the boundary element method is more accurate and more efficient than the finite element method for such type of problems. The presented approach can be successfully applied to estimate the equivalent elastic properties of many composite materials.

Quasistatic Electro-Elastic Contact Modeling Using the Boundary Element Method

2016 ◽  
Vol 681 ◽  
pp. 185-196 ◽  
Author(s):  
Luis Rodríguez-Tembleque ◽  
Andrés Sáez ◽  
Federico C. Buroni ◽  
Ferri M.H. Aliabadi
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Piezoelectric Materials ◽  
Augmented Lagrangian Method ◽  
Three Dimensional ◽  
Electrical Boundary Conditions ◽  
Contact Formulation ◽  
Dimensional Boundary ◽  
Piezoelectric Solids ◽  
Element Method

A three-dimensional boundary element methodology to study frictionless indentation response of piezoelectric (PE) materials is presented. The boundary element method (BEM) is used in order to compute the electro-elastic influence coeffcients of fully anisotropic piezoelectric solids. The proposed contact formulation is based on the augmented Lagrangian method presented in [33, 34, 35] and makes it possible to consider piezoelectric materials under different mechanical and electrical boundary conditions (i.e. insulating indenter and conducting indenter). The methodology is validated by comparison with theoretical solutions presented in the literature.

Sign in / Sign up

Export Citation Format

Share Document