• Coupled systems mechanics
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• 제2권4호
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• pp.349-374
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• 2013

In this work we propose a novel procedure for direct computation of buckling loads for extreme mechanical or thermomechanical conditions. The procedure efficiency is built upon the von Karmann strain measure providing the special format of the tangent stiffness matrix, leading to a general linear eigenvalue problem for critical load multiplier estimates. The proposal is illustrated on a number of validation examples, along with more complex examples of interest for practical applications. The comparison is also made against a more complex computational procedure based upon the finite strain elasticity, as well as against a more refined model using the frame elements. All these results confirm a very satisfying performance of the proposed methodology.

• Structural Engineering and Mechanics
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• 제13권6호
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• pp.591-614
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• 2002

This paper presents experimental and numerical analyses of the thermomechanical behaviour that takes place in SAE1020 mild steel cylindrical specimens during the conventional tensile test. A set of experiments has been carried out in order to obtain the stress-strain curve and the diameter evolution at the neck which allow, in turn, to derive the elastic and hardening parameters characterizing the material response. Temperature evolutions have also been measured for a high strain rate situation. Moreover, a finite element large strain thermoelastoplasticity-based formulation is proposed and used to simulate the deformation process during the whole test. Some important aspects of this formulation are discussed. Finally, the results provided by the simulation are experimentally validated.

• 대한기계학회논문집A
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• 제30권6호
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• pp.705-712
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• 2006

A finite element method based on the penalized subdomain-interface framework is proposed for fully-coupled, nonlinear thermomechanical analyses with thermal contact anuor radiation boundaries. In the variational formulation, a well-known penalty functional scheme is adopted for connecting subdomains and interfaces that satisfy various continuity requirements. As a logical consequence, the whole domain can be arbitrarily divided into independently-modeled subdomains without considering the conformity of meshes along their interfaces. Since the nonlinearities due to the contact and radiation boundaries can be localized within a few subdomains, the computational efficiency of the present method is greatly increased with appropriate solution algorithms. By solving some numerical problems, these advantageous features are confirmed carefully.

• 한국항공우주학회지
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• 제33권11호
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• pp.7-14
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• 2005

접촉 현상을 포함하는 완전 연계된 열기계학적 문제에 대한 정확하고 효율적인 해석을 위하여 부영역과 공유면에 근거한 유한요소 정식화 기법을 제안하였다. 부영역과 공유면을 결합하기 위한 등식 적합 조건을 벌칙 함수로 처리함으로써 모든 유효 강성 행렬이 양정치화되며, 역행렬과 같은 각종 수치 연산이 매우 간편하다. 또한 전체 구조 형상이 복잡하더라도 대상 영역을 임의의 부영역으로 분할한 후, 공유면에서의 절점 연속성 등을 고려하지 않고 각 부영역을 독립적으로 유한요소 모델링할 수 있다. 컴퓨터 코드의 개발 및 수치 예제의 해석을 통하여 본 기법에 대한 기본적인 특성을 확인하였다.

• Structural Engineering and Mechanics
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• 제22권5호
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• pp.517-539
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• 2006

Friction problems involving rubber components are frequently encountered in industrial applications. Their treatment within the framework of numerical simulations by means of the Finite Element Method (FEM) is the main issue of this paper. Special emphasis is placed on the choice of a suitable material model and the formulation of a contact model specially designed for the particular characteristics of rubber friction. A coupled thermomechanical approach allows for consideration of the influence of temperature on the frictional behavior. The developed tools are implemented in the commercial FE code ABAQUS. They are validated taking the sliding motion of a rubber tread block as example. Such simulations are frequently encountered in tire design and development. The simulations are carried out with different formulations for the material and the frictional behavior. Comparison of the obtained results with experimental observations enables to judge the suitability of the applied formulations on a structural scale.