Node-to-node scheme for three-dimensional contact mechanics using polyhedral type variable-node elements

Jin, Seungmin; Sohn, Dongwoo; Im, Seyoung

doi:10.1016/j.cma.2016.02.019

Cited by 22 publications

(4 citation statements)

References 33 publications

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“…These meshes can be then conveniently used to formulate the contact interaction. Possibilities available in the literature are (but are not limited to): node‐to‐node interaction, 3‐5 node‐to‐surface interaction, 6,7 surface‐to‐surface interaction, 8,9 and beam‐to‐beam contact 10‐13 . These strategies usually adopt the concept of so‐called contact elements, which depend on the discretization level of FEM meshes that are frequently

{C}^0

.…”

Section: Introductionmentioning

confidence: 99%

Numerical strategy for solving general C¹‐continuous beam‐to‐beam contact problems

Júnior,

Gay Neto,

Wriggers

2023

Numerical Meth Engineering

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In the context of a multibody numerical environment, when aiming at representing the contact interaction between bodies one needs the inclusion of special mathematical formulations. They can be geometrically described as surface‐to‐surface or line‐to‐line contacts, for instance. The last one is usually the natural choice when addressing beam‐to‐beam contact. In the present work, a geometrically nonlinear structural formulation is combined with a beam‐to‐beam spline‐based contact formulation with a particular numerical strategy to address challenging contact problems. The numerical strategy consists of introducing criteria to evaluate, characterize and decide about the contact problem solutions. According to these criteria, a contact problem solution may be accepted, rejected, or proceed to a degeneration process (as a simplification of the original tentative for the geometric description). The main advantages of the proposed technique are the lack of special contact formulations for ill‐defined contact problems and the automatic switch between degenerated and nondegenerated scenarios. Therefore, one can naturally handle scenarios of pointwise or conformal contact, even in situations of transition between such categories along the model evolution. The adopted spline‐based formulation includes normal and tangential contact contributions. To test the proposed strategy, several pointwise and conformal contact examples are proposed.

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{C}^0

.…”

Section: Introductionmentioning

confidence: 99%

Numerical strategy for solving general C¹‐continuous beam‐to‐beam contact problems

Júnior,

Gay Neto,

Wriggers

2023

Numerical Meth Engineering

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“…A cell-based smoothed nite element method (CS-FEM) was introduced by Liu et al in [33] for coupling nonmatching meshes and was extended to three-dimensional contact problems by Jin et al in [34]. Recently, a NTN scheme based on the virtual element method (VEM) was proposed by Wriggers at al.…”

Section: Introductionmentioning

confidence: 99%

A node-to-node scheme for three-dimensional contact problems using the scaled boundary finite element method

Xing

Zhang

Song

et al. 2019

Computer Methods in Applied Mechanics and Engineering

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“…In node-to-node contact formulations [8,9], the contact-candidate material points are defined a priori. The main drawback is the difficulty in predicting such points for large deformation scenarios if classical finite element discretizations are used, an exception is the virtual element method that allows node-to-node contact discretization even for large deformations, see [10].…”

Section: Introductionmentioning

confidence: 99%

Uma formulação de contato C¹ baseada em splines: aplicações têxteis

Faccio Júnior

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O contato entre corpos é um fenômeno complexo que envolve interação mecânica, atrito, transferência de calor, entre outros fatores. Uma abordagem comum (e conveniente) para interação mecânica em um ambiente de elementos finitos é usar diretamente a geometria dos elementos para formular a interação por contato. A principal desvantagem dessa abordagem está na existência de arestas agudas formadas, por exemplo, pela junção de elementos finitos retilíneos ou não-suaves que podem levando a singularidades de contato. Para contornar este problema, particularmente no contexto de contatos viga-a-viga, o presente trabalho propõe uma formulação de elementos de contato baseada em curvas splines C 1 . A formulação baseada em splines é desenvolvida para lidar com cenários de contato conforme (distribuído) e não-conforme (pontual). Uma estratégia de três critérios é introduzida para auxiliar no processo de tomada de decisão entre cenários de contato conforme e não-conforme. A formulação baseada em splines proposta pode ser anexada diretamente a qualquer formulação envolvendo elementos finitos de viga quadráticos, garantindo uma descrição suave para esses elementos. Uma lei específica de interação de contato normal não-linear e um modelo reológico para atrito já estabelecido, ambos com contribuições elásticas e viscosas, são adotados aumentando as possibilidades em aplicações práticas. Para demonstrar algumas possibilidades de aplicação, vários exemplos são explorados, incluindo comparações diretas com uma formulação de contato superfície-a-superfície e uma formulação alternativa de contato suave, além de exemplos desafiadores envolvendo contatos conformes e não-conformes e aplicações têxteis.Palavras-chave: Spline. Contato normal não-linear. Atrito. Contato pontual. Contato conforme.

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Node-to-node scheme for three-dimensional contact mechanics using polyhedral type variable-node elements

Cited by 22 publications

References 33 publications

Numerical strategy for solving general C¹‐continuous beam‐to‐beam contact problems

Numerical strategy for solving general C¹‐continuous beam‐to‐beam contact problems

A node-to-node scheme for three-dimensional contact problems using the scaled boundary finite element method

Uma formulação de contato C¹ baseada em splines: aplicações têxteis

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Node-to-node scheme for three-dimensional contact mechanics using polyhedral type variable-node elements

Cited by 22 publications

References 33 publications

Numerical strategy for solving general C1‐continuous beam‐to‐beam contact problems

Numerical strategy for solving general C1‐continuous beam‐to‐beam contact problems

A node-to-node scheme for three-dimensional contact problems using the scaled boundary finite element method

Uma formulação de contato C¹ baseada em splines: aplicações têxteis

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Numerical strategy for solving general C¹‐continuous beam‐to‐beam contact problems

Numerical strategy for solving general C¹‐continuous beam‐to‐beam contact problems