Abstract
In the present work the performance of finite element formulations with different reduced integration strategies is evaluated for Contact Mechanics applications. One-point quadrature and selective reduced integration are utilized here using hourglass control to suppress volumetric and shear locking for materials with incompressible plastic behavior and bending-dominated problems. A corotational formulation is adopted to deal with physically and geometrically nonlinear analysis and the generalized-α method is employed for time integration in the nonlinear dynamic range. The contact formulation is based on the penalty method, where the classical Coulomb’s law is used considering a convected coordinate system for three-dimensional friction with large deformation and finite sliding. Contact problems involving deformable and rigid bodies, as well as static and dynamic analysis, are investigated and results are analyzed considering the different underintegration formulations proposed here.
Highlights
Element technology is mainly concerned with the development of accurate and efficient finite element formulations, especially for large-scale and nonlinear problems
The main objective of the present work is to investigate the performance of an eight-node hexahedral element formulation using one-point quadrature, developed by Braun and Awruch (2008, 2013a, 2013b), when it is applied to contact problems with elastoplastic materials and compare its efficiency and robustness with the B-bar method, which is a selective-reduced integration technique that is widely used in the literature and implemented into some finite element software
It is observed that the ANSYS element SOLID185, using uniform reduced integration, presented a softer behavior when compared with the results obtained by the element formulation using one-point quadrature, which is employed in the present work
Summary
Element technology is mainly concerned with the development of accurate and efficient finite element formulations, especially for large-scale and nonlinear problems. In the field of Contact Mechanics, applications frequently require high computational efforts due to the inherently nonlinear nature of the contact problem, taking into account the contact search algorithms and procedures for numerical evaluation of contact forces and stress tensor components In this context, underintegration and stabilization techniques may be utilized to obtain computationally efficient algorithms and element formulations free of hourglass and locking instabilities. The main objective of the present work is to investigate the performance of an eight-node hexahedral element formulation using one-point quadrature, developed by Braun and Awruch (2008, 2013a, 2013b), when it is applied to contact problems with elastoplastic materials and compare its efficiency and robustness with the B-bar method, which is a selective-reduced integration technique that is widely used in the literature and implemented into some finite element software.
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