• Geomechanics and Engineering
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• 제21권6호
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• pp.527-536
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• 2020

An elastic-plastic solution for cavity expansion problem considering strength degradation, undrained condition and initial anisotropic in-situ stress is established based on the Tresca yield criterion and cavity expansion theory. Assumptions of large-strain for plastic region and small-strain for elastic region are adopted, respectively. The initial in-situ stress state of natural soil mass may be anisotropic caused by consolidation history, and the strength degradation of soil mass is caused by structural damage of soil mass in the process of loading analysis (cavity expansion process). Finally, the published solutions are conducted to verify the suitability of this elastic-plastic solution, and the parametric studies are investigated in order to the significance of this study for in-situ soil test.

• 한국게임학회 논문지
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• 제14권6호
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• pp.49-58
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• 2014

입자 기반 유체 시뮬레이션에서 유체와 완전탄성체의 중간 형태인 점탄성체는 유체와는 달리 물질의 변형에 대한 항복응력(yield stress)이 필요하다. 기존 입자 기반의 점탄성체 연구에서는 폰 미제스(von Mises) 항복조건을 사용해 점탄성체의 변형을 표현하였으나 폭발을 표현하지는 못하였다. 본 논문은 물체가 받는 수많은 방향의 힘을 계산해야 하는 폰 미제스의 항복조건과는 달리 최대 주응력과 최소 주응력의 차를 이용해 쉽게 근사 할 수 있는 트레스카(Tresca)의 항복조건을 변형한 이상적 점탄성체 항복조건을 제안한다. 폰 미제스의 항복조건을 쉽게 근사화하기 위해 물체가 받는 힘을 변형된 길이로 표현한 기존 입자 기반의 시뮬레이션과 달리, 본 논문은 트레스카의 항복조건을 바탕으로 2차원 물체가 힘을 받아 변형된 넓이를 주응력으로 가정한다. 가장 큰 힘을 받는 순간을 최대주응력, 가장 적은 힘을 받는 순간을 최소 주응력으로 근사 화하여 차이를 계산한다. 점탄성체의 경계면이 이상적 항복 조건 이상으로 줄어들 때 물체가 한계응력을 이기지 못하고 현실감 있게 폭발하는 과정을 표현할 수 있음을 확인하였다.

• Fibers and Polymers
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• 제5권3호
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• pp.209-212
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• 2004

A nonsteady axi-symmetric ideal flow solution is obtained here. It is based on the rigid perfect-plastic constitutive law with the Tresca yield condition and its associated flow rule. The process is to deform a circular solid disk into a spherical shell of prescribed geometry. It is assumed that there are no rigid zones and friction stresses. The solution obtained provides the distribution of kinematic variables and involves one undetermined function of the time. This function can be in general found by superimposing an optimality criterion.

• Steel and Composite Structures
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• 제38권2호
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• pp.189-211
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• 2021

An analytical solution is presented to analyze the thermoelastoplastic response of a rotating thick-walled cylindrical pressure vessel made of functionally graded material (FGM). The analysis is based on Tresca's yield condition, its associated flow rule and linear strain hardening material behaviour. The uncoupled theory of thermoelasticity is used, and the plane strain condition is assumed. The material properties except for Poisson's ratio, are assumed to vary nonlinearly in the radial direction. Elastic, partially plastic, fully plastic, and residual stress states are investigated. The heat conduction equation for the one-dimensional problem in cylindrical coordinates is used to obtain temperature distribution in the vessel. It is assumed that the inner surface is exposed to an airstream and that the outer surface is exposed to a uniform heat flux. Tresca's yield criterion and its associated flow rule are used to formulate six different plastic regions for a linearly hardening condition. All these stages are studied in detail. It is shown that the thermoelastoplastic stress response of a rotating FGM pressure vessel is affected significantly by the nonhomogeneity of the material and temperature gradient. The results are validated with those of other researchers for appropriate values of the system parameters and excellent agreement is observed.

• 대한기계학회논문집
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• 제14권6호
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• pp.1382-1390
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• 1990

본 연구에서는 Yang의 이론을 바탕으로 여러가지 원형집중하중을 받는 원형평 판에 관한 최대하계해를 구하고자 한다.앞서 열거한 문헌에서는 여러가지 해석법이 제시되었으나, 문제의 성격에 비하여 그 해법이 매우 복잡하였다. 본 논문에서는 원 형평판에 관한 해법으로서 전산기를 응용하여 가능한 한 단순한 해법으로 최대화기법 에 의한 완전한 해를 얻기 위한 시도를 제시하고자 한다.

• Steel and Composite Structures
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• 제51권4호
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• pp.377-389
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• 2024

In the present study, thermoelsatoplastic stresses and displacement for rotating hollow disks made of functionally graded materials (FGMs) has been investigated. The linear elastic-fully plastic condition is considered. The material properties except Poisson's ratio are assumed to vary in the radial direction as a power-law function. The heat conduction equation for the one-dimensional problem in cylindrical coordinates is used to obtain temperature distribution in the disk. The plastic model is based on the Tresca yield criterion and its associated flow rules under the assumption of perfectly plastic material behavior. Exact solutions of field equations for elastic and plastic deformations are obtained. It is shown that the elastoplastic response of the functionally graded (FG) disk is affected notably by the radial variation of material properties. It is also shown that, depending on material properties and disk dimensions, different modes of plastic deformation may occur.