scholarly journals Erratum: “Linear Complementary Formulations Involving Frictional Contact for Elasto-Plastic Deformable Bodies” [ASME Journal of Applied Mechanics, 1997, 64(1), p. 80–89]

1997 ◽  
Vol 64 (2) ◽  
pp. 374-374
Author(s):  
Maocheng Li ◽  
Desong Sha ◽  
K. K. Tamma
Keyword(s):  
Frictional Contact ◽  
Applied Mechanics ◽  
Deformable Bodies ◽  
Asme Journal

A Parallel GPU Implementation of the Absolute Nodal Coordinate Formulation With a Frictional/Contact Model for the Simulation of Large Flexible Body Systems

2011 ◽  
Author(s):  
Naresh Khude ◽  
Dan Melanz ◽  
Ilinca Stanciulescu ◽  
Dan Negrut
Keyword(s):  
Frictional Contact ◽  
Absolute Nodal Coordinate Formulation ◽  
Analytical Framework ◽  
Computational Effort ◽  
Contact Model ◽  
Flexible Body ◽  
Processing Unit ◽  
Absolute Nodal Coordinate ◽  
Deformable Bodies ◽  
The Absolute

This contribution discusses how a flexible body formalism, specifically, the Absolute Nodal Coordinate Formulation (ANCF), is combined with a frictional/contact model using the Discrete Element Method (DEM) to address many-body dynamics problems; i.e., problems with hundreds of thousands of rigid and deformable bodies. Since the computational effort associated with these problems is significant, the analytical framework is implemented to leverage the computational power available on today’s commodity Graphical Processing Unit (GPU) cards. The code developed is validated against ANSYS and FEAP results. The resulting simulation capability is demonstrated in conjunction with hair simulation.

Note on a Paper by Liu on the Scattering of Water Waves by a Pair of Semi-Infinite Barriers

1981 ◽  
Vol 48 (3) ◽  
pp. 656-656
Author(s):  
A. D. Rawlins
Keyword(s):  
Exact Solution ◽  
Transmission Coefficient ◽  
Water Waves ◽  
Low Frequency ◽  
Exact Expression ◽  
Simple Expression ◽  
Exact Form ◽  
Applied Mechanics ◽  
Asme Journal ◽  
Incident Waves

Recently, a problem, whose solution was well known in exact form, has been analyzed by Liu (Scattering of Water Waves by a Pair of Semi-Infinite Barriers, ASME Journal of Applied Mechanics, Vol. 42, 1975, p. 777), by the method of matched asymptotic expansions. From the known exact solution a simple expression is obtained for the transmission coefficient. The exact expression for the transmission coefficient when expanded for low frequency incident waves differs from Liu’s result, and therefore casts doubt on Liu’s analysis and physical conclusions.

A Numerical Solution for Quasistatic Viscoelastic Frictional Contact Problems

2007 ◽  
Vol 130 (1) ◽  
Author(s):  
Fatin F. Mahmoud ◽  
Ahmed G. El-Shafei ◽  
Amal E. Al-Shorbagy ◽  
Alaa A. Abdel Rahman
Keyword(s):  
Contact Problem ◽  
Frictional Contact ◽  
Programming Model ◽  
Contact Problems ◽  
Computational Procedure ◽  
Friction Model ◽  
Relaxation Phenomena ◽  
Contact Interface ◽  
Linear Behavior ◽  
Deformable Bodies

The tribological aspects of contact are greatly affected by the friction throughout the contact interface. Generally, contact of deformable bodies is a nonlinear problem. Introduction of the friction with its irreversible character makes the contact problem more difficult. Furthermore, when one or more of the contacting bodies is made of a viscoelastic material, the problem becomes more complicated. A nonlinear time-dependent contact problem is addressed. The objective of the present work is to develop a computational procedure capable of handling quasistatic viscoelastic frictional contact problems. The contact problem as a convex programming model is solved by using an adaptive incremental procedure. The contact constraints are incorporated into the model by using the Lagrange multiplier method. In addition, a local-nonlinear nonclassical friction model is adopted to model the friction at the contact interface. This eliminates the difficulties that arise with the application of the classical Coulomb’s law. On the other hand, the Wiechert model, as an effective model capable of describing both creep and relaxation phenomena, is adopted to simulate the linear behavior of viscoelastic materials. The resulting constitutive integral equations are linearized; therefore, complications that arise during the integration of these equations, especially with contact problems, are avoided. Two examples are presented to demonstrate the applicability of the proposed method.

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