• Wind and Structures
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• 제25권1호
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• pp.25-38
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• 2017

This study investigates the dynamic analysis of a transversely isotropic thin plate. The plate is made of hyperelastic John's material and its constitutive law is obtained by taken the Frechect derivative of the highlighted energy function with respect to the geometry of deformation. The three-dimensional equation governing the motion of the plate is expressed in terms of first Piola-Kirchhoff's stress tensor. In the reduction to an equivalent two-dimensional plate equation, the obtained model generalizes the classical plate equation of motion. It is obtained that the plate under consideration exhibits harmonic force within its planes whereas this force varnishes in the classical plate model. The presence of harmonic forces within the planes of the considered plate increases the natural and resonance frequencies of the plate in free and forced vibrations respectively. Further, the parameter characterizing the transversely isotropic structure of the plate is observed to increase the plate flexural rigidity which in turn increases both the natural and resonance frequencies. Finally, this study reinforces the view that non-classical models of problems in elasticity provide ample opportunity to reveal important phenomena which classical models often fail to apprehend.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2004년도 추계학술대회
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• pp.465-467
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• 2004

Finite element analysis of welding processes, which entail phase evolution, heat transfer and deformation, is considered in this paper. Attention focuses on numerical implementation of the thermo-elastic-plastic constitutive equation proposed by Leblond et al in consideration of the transformation plasticity. Based upon the multiplicative decomposition of deformation gradient, hyperelastic formulation is employed for efficient numerical integration, and the algorithmic consistent moduli for elastic-plastic deformations including transformation plasticity are obtained in the closed form. The convergence behavior of the present implementation is demonstrated via a couple of numerical examples. Several locking phenomena removed by Solid-shell element.

• 한국전산구조공학회논문집
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• 제33권3호
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• pp.179-186
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• 2020

본 연구에서는 복부대동맥류가 발생한 환자들에서의 연령과 복부대동맥류 형상에 따른 벽 응력과 파열 위험성을 평가하였다. 복부대동맥류의 형상은 의료영상 데이터로부터 추출되어 모사되었으며, 재료 물성치 단계에서는 동맥 조직의 이방성 초탄성 성질을 모사하기 위해 Gasser-Ogden-Holzapfel 모델을 적용하였다. 또한, 모델에서 필요한 각 재료 정수들은 환자들의 연령과 정상 조직 및 동맥류 조직의 특성들을 고려하기 위하여 각기 다른 값들로 산정되었다. 게다가 복부대동맥류에서의 대동맥 직경과 목의 각도에 관한 상관관계를 분석하고, 이에 대한 시리즈 시뮬레이션 역시 수행되었다. 그 결과, 복부대동맥류 환자의 연령과 대동맥 직경, 그리고 대동맥 목의 각도에 따른 복부대동맥류의 파열 위험성이 평가되었다.