Finite element formulation of large deformation impact-contact problems with friction

Wriggers, Peter; VAN,THUAT,Dinh,; Stein, Erwin

doi:10.1016/0045-7949(90)90324-u

Cited by 381 publications

(208 citation statements)

References 15 publications

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“…Similar examples have been previously considered by Wriggers et al [35] and Laursen and Love [18]. This example is especially well suited to check the algorithmic conservation properties.…”

Section: Impact Problemmentioning

confidence: 61%

“…In particular, conditions (50) and (51) are automatically satisfied if the mortar contact constraints are invariant under translations and rotations, respectively. With regard to the relationships (36), (35) and (41), it suffices to consider in the sequel the segment contributions U seg (q seg ) ∈ R 2 specified by (42).…”

Section: Conservation Laws and Invariance Propertiesmentioning

confidence: 99%

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A mortar method for energy‐momentum conserving schemes in frictionless dynamic contact problems

Hesch

Betsch

2008

Numerical Meth Engineering

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SUMMARYIn the present work the mortar method is applied to planar large deformation contact problems without friction. In particular, the proposed form of the mortar contact constraints is invariant under translations and rotations. These invariance properties lay the foundation for the design of energy-momentum timestepping schemes for contact-impact problems. The iterative solution procedure is embedded into an active set algorithm. Lagrange multipliers are used to enforce the mortar contact constraints. The solution of generalized saddle point systems is circumvented by applying the discrete null space method. Numerical examples demonstrate the robustness and enhanced numerical stability of the newly developed energymomentum scheme.

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“…Similar examples have been previously considered by Wriggers et al [35] and Laursen and Love [18]. This example is especially well suited to check the algorithmic conservation properties.…”

Section: Impact Problemmentioning

confidence: 61%

Section: Conservation Laws and Invariance Propertiesmentioning

confidence: 99%

A mortar method for energy‐momentum conserving schemes in frictionless dynamic contact problems

Hesch

Betsch

2008

Numerical Meth Engineering

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show abstract

“…This version of a pressure gap relationship can be found in [37,38] and uses the power function. The pressure-gap relationship is plotted in Fig.…”

Section: Power-function-based Nonlinear Penalty Modelmentioning

confidence: 99%

“…For most metallic materials, the parameter ε N is proportional to the modulus of elasticity, and the parameter m ≈ 2 [37]. …”

Section: Power-function-based Nonlinear Penalty Modelmentioning

confidence: 99%

A complete strategy for efficient and accurate multibody dynamics of flexible structures with large lap joints considering contact and friction

2016

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This paper deals with the dynamics of jointed flexible structures in multibody simulations. Joints are areas where the surfaces of substructures come into contact, for example, screwed or bolted joints. Depending on the spatial distribution of the joint, the overall dynamic behavior can be influenced significantly. Therefore, it is essential to consider the nonlinear contact and friction phenomena over the entire joint. In multibody dynamics, flexible bodies are often treated by the use of reduction methods, such as component mode synthesis (CMS). For jointed flexible structures, it is important to accurately compute the local deformations inside the joint in order to get a realistic representation of the nonlinear contact and friction forces. CMS alone is not suitable for the capture of these local nonlinearities and therefore is extended in this paper with problem-oriented trial vectors. The computation of these trial vectors is based on trial vector derivatives of the CMS reduction base. This paper describes the application of this extended reduction method to general multibody systems, under consideration of the contact and friction forces in the vector of generalized forces and the Jacobian. To ensure accuracy and numerical efficiency, different contact and friction models are investigated and evaluated. The complete strategy is applied to a multibody system containing a multilayered flexible structure. The numerical results confirm that the method leads to accurate results with low computational effort.

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“…al. [1]. General overviews over contact conditions and contact algorithms which are nowadays used in practice, are covered by the books of Wriggers [2] and Laursen [3].…”

Section: Geometry and Kinematics Of Contactmentioning

confidence: 99%

On a geometrical approach in contact mechanics

Konyukhov¹,

Schweizerhof²

Analysis and Simulation of Contact Problems

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Finite element formulation of large deformation impact-contact problems with friction

Cited by 381 publications

References 15 publications

A mortar method for energy‐momentum conserving schemes in frictionless dynamic contact problems

A mortar method for energy‐momentum conserving schemes in frictionless dynamic contact problems

A complete strategy for efficient and accurate multibody dynamics of flexible structures with large lap joints considering contact and friction

On a geometrical approach in contact mechanics

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