A solution method for static and dynamic analysis of three-dimensional contact problems with friction

Mixed finite element formulation in large deformation frictional contact problem

“…The solution to a contact problem is obtained using various methods such as the penalisation or the Lagrange multiplier methods 5,6,7,8,9,10 . Among these last methods one finds the gradient methods 11,12 , those of the increased Lagrangian or other mixed approaches 13,14,15 .…”

Analyzing the Edge Cracked Semicircular Disc under Uniform Compressive (ECSD(UD)) Load

“…In the experimental investigations conducted by Surendra [24], this line crosses a point, 17.1mm away from the vertical edge. The difference between the location of point P in the numerical and experimental models is probably due to the nature of the point load in the numerical model; whereas in the experimental model, the applied pressure to the sample increases, the area over which the load is applied and also the support increase as well and the load exits its concentrated state and follows the Hertzian distribution [25].…”

Optimal time integration parameters for elastodynamic contact problems

“…However, the most commonly used Newmark parameters corresponding to the trapezoidal rule ( = 0:5 and ÿ = 0:25) are unsuitable for contact problems, since they result in excessive numerical oscillations. For these problems, = 0:5 and ÿ = 0:5 are often recommended [1]. These parameters result in second-order accuracy and satisfy energy and momentum conservation during rigid impact.…”