TY - JOUR
T1 - Conjugate gradient based projection
T2 - A new explicit computational methodology for frictional contact problems
AU - Tamma, Kumar K
AU - Li, Maocheng
AU - Sha, Desong
PY - 1994/8
Y1 - 1994/8
N2 - With special attention towards the applicability to parallel computation or vectorization, a new and effective explicit computational approach for linear complementary formulations involving a conjugate gradient based projection methodology is proposed in this study for contact problems with Coulomb friction. The overall objectives are focused towards providing an explicit methodology of computation for the complete contact problem with friction. In this regard, the primary idea for solving the linear complementary formulations stems from an established search direction which is projected to a feasible region determined by the non‐negative constraint condition; this direction is then applied to the Fletcher‐Reeves conjugate gradient method resulting in a powerful explicit methodology which possesses high accuracy, excellent convergence characteristics, fast computational speed and is relatively simple to implement for contact problems involving Coulomb friction. Numerical test cases are also included to demonstrate the proposed methodology for contact problems with friction.
AB - With special attention towards the applicability to parallel computation or vectorization, a new and effective explicit computational approach for linear complementary formulations involving a conjugate gradient based projection methodology is proposed in this study for contact problems with Coulomb friction. The overall objectives are focused towards providing an explicit methodology of computation for the complete contact problem with friction. In this regard, the primary idea for solving the linear complementary formulations stems from an established search direction which is projected to a feasible region determined by the non‐negative constraint condition; this direction is then applied to the Fletcher‐Reeves conjugate gradient method resulting in a powerful explicit methodology which possesses high accuracy, excellent convergence characteristics, fast computational speed and is relatively simple to implement for contact problems involving Coulomb friction. Numerical test cases are also included to demonstrate the proposed methodology for contact problems with friction.
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U2 - 10.1002/cnm.1640100807
DO - 10.1002/cnm.1640100807
M3 - Article
AN - SCOPUS:0028481278
SN - 2040-7939
VL - 10
SP - 633
EP - 648
JO - Communications in Applied Numerical Methods
JF - Communications in Applied Numerical Methods
IS - 8
ER -