Analysis of frictional contact problems for functionally graded materials using BEM

Gün, Halit; Gao, Xiao‐Wei

doi:10.1016/j.enganabound.2013.10.004

Cited by 15 publications

(4 citation statements)

References 8 publications

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“…For this reason, contact problems are solved with numerical techniques in general. The most used technique to treat structural nonlinearities is the Finite Element Method (FEM) [1,4,13,14,16,19,23,25] while the Boundary Element Method (BEM) has been recently employed in contact problems [3,7,17,18], just to cite a few of the recent works.…”

Section: Introductionmentioning

confidence: 99%

Contact stiffness estimation in ANSYS using simplified models and artificial neural networks

Hattori

Serpa

2015

Finite Elements in Analysis and Design

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. (2015) 'Contact stiness estimation in ANSYS using simplied models and articial neural networks.', Finite elements in analysis and design., 97 . pp. 43-53. Further information on publisher's website: Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details.

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Section: Introductionmentioning

confidence: 99%

Contact stiffness estimation in ANSYS using simplified models and artificial neural networks

Hattori

Serpa

2015

Finite Elements in Analysis and Design

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“…Roughly speaking, numerical algorithms can be classified into three categories. The first class is known as direct iterative algorithm [8][9][10][11], which assumes the contact region and contact status firstly and then solves the problem and checks whether the assumption is correct or not. It solves the problem iteratively by trial-and-error, thus requiring much computational effort; the second class is contact constraint algorithm [12][13][14], which deals with the contact boundary properly, and transforms the constrained optimization problem into nonconstrained optimization problem.…”

Section: Introductionmentioning

confidence: 99%

A Smooth System of Equations Approach to Complementarity Problems for Frictionless Contacts

Deng

Tang

2015

Mathematical Problems in Engineering

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Frictionless contact problems are the simplest and classical contact problems, and the contact conditions of sticking, slipping, and separation mode all can be ascribed to complementary problems. Consequently, a smooth system of equations approach for the design and analysis of complementarity problems for frictionless contacts is presented. A compute program based on boundary element technique is given and applied to two practical contact examples. The validity and accuracy of the proposed method are demonstrated.

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“…Kumar and DasGupta [2012] studied the mechanics of contact of an inflated spherical nonlinear hyperelastic membrane pressed between two rigid plates. A quadratic boundary element formulation for continuously nonhomogeneous, isotropic, and linear elastic functionally graded material contact problems was carried out in Gun and Gao [2014]. Vollebregt [2014] presented a new solver, called BCCG+FAI, for solving elastic normal contact problems.…”

Section: Introductionmentioning

confidence: 99%

Continuous contact problem for two elastic layers resting on an elastic half-infinite plane

Öner

Birinci

2014

J. Mech. Mater. Struct.

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The continuous contact problem for two elastic layers resting on an elastic half-infinite plane and loaded by means of a rigid stamp is presented. The elastic layers have different heights and elastic constants. An external load is applied to the upper elastic layer by means of a rigid stamp. The problem is solved under the assumptions that all surfaces are frictionless, body forces of elastic layers are taken into account, and only compressive normal tractions can be transmitted through the interfaces. General expressions of stresses and displacements are obtained by using the fundamental equations of the theory of elasticity and the integral transform technique. Substituting the stress and the displacement expressions into the boundary conditions, the problem is reduced to a singular integral equation, in which the function of contact stresses under the rigid stamp is unknown. The integral equation is solved numerically by making use of the appropriate Gauss-Chebyshev integration formula for circular and rectangular stamp profiles. The contact stresses under the rigid stamp, contact areas, initial separation loads, and initial separation distances between the two elastic layers and the lower-layer elastic half-infinite plane are obtained numerically for various dimensionless quantities and shown in graphics and tables.

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Analysis of frictional contact problems for functionally graded materials using BEM

Cited by 15 publications

References 8 publications

Contact stiffness estimation in ANSYS using simplified models and artificial neural networks

Contact stiffness estimation in ANSYS using simplified models and artificial neural networks

A Smooth System of Equations Approach to Complementarity Problems for Frictionless Contacts

Continuous contact problem for two elastic layers resting on an elastic half-infinite plane

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