• Title/Summary/Keyword: 점탄성 경계

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Analysis of linear viscoelastic problems using boundary element method (경계요소법을 사용한 선형 점탄성문제의 해석)

  • 심우진;곽병만
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.2
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    • pp.322-330
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    • 1987
  • Isotropic linear viscoelasticity problems are analyzed numerically in time domain by Boundary Element Method with quadratic isoparametric boundary elements. Viscoelastic fundamental solutions are newly derived by using the elastic-viscoelastic correspondence principle and corresponding boundary integral equations are also presented. Numerical results of two examples are compared with the derived exact solutions to verify the accuracy and validity of the method. A detailed study on the accuracy of displacement and stress in terms of time integration step is given.

Analysis of Transient Thermal Stresses in Viscoelastic Solids Using Boundary Element Method (경계요소법에 의한 점탄성재료의 과도열응력 해석)

  • 이상순;김태형
    • Computational Structural Engineering
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    • v.8 no.2
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    • pp.141-145
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    • 1995
  • This paper deals with a time-domain boundary element technique suitable for the analysis of linear viscoelastic materials in the presence of transient temperature field. Thermorheologically simple behavior has been assumed. Following an exposition of the boundary element formulation, the numerical results of example problem have been presented.

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Viscoelastic Analysis for Behavior of Edge Cracks at the Bonding Interface of Semiconductor Chip (반도체 칩 접착 계면에 존재하는 모서리 균열 거동에 대한 점탄성 해석)

  • 이상순
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.3
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    • pp.309-315
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    • 2001
  • The Stress intensity factors for edge cracks located at the bonding interface between the elastic semiconductor chip and the viscoelastic adhesive layer have been investigated. Such cracks might be generated due to stress singularity in the vicinity of the free surface. The domain boundary element method(BEM) has been employed to investigate the behavior of interface stresses. The overall stress intensity factor for the case of a small interfacial edge crack has been computed. The magnitude of stress intensity factors decrease with time due to viscoelastic relaxation.

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Boundary Element Analysis of Elastic-Viscoelastic Compound Structure (탄성-점탄성 복합구조체의 경계요소해석)

  • 이상순;김태형
    • Computational Structural Engineering
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    • v.8 no.2
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    • pp.147-151
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    • 1995
  • The time-domain boundary element analysis has been attempted for investigating the displacement and stress in an elastic-viscoelastic compound structure. The subdomain technique has been employed and the whole domain has been divided into two subdomains, which are respectively a homogeneous elastic zone and a homogeneous viscoelastic zone. The boundary element equation has been formulated using the equilibrium and continuity conditions at the common interface. The numerical results of example problem has been presented.

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Boundary Element Analysis of Strain Energy Release Rate G(t) for Cracked Viscoelastic Solids (균열이 있는 선형 점탄성체의 변형에너지 방출률 G(t)에 대한 경계요소 해석)

  • 박명규;이상순;서창민
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.12
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    • pp.2072-2078
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    • 2003
  • In this paper, the boundary element analysis of viscoelastic strain energy release rate G(t) for the cracked linear viscoelastic solids has been attempted. This study proposes the G(t) equation and the calculating method of G(t) by time-domain boundary element analysis for the viscoelastic solids. The G(t) is defined as the derivative of the viscoelastic potential energy II(t) with respect to crack length a. Two example problems are presented to show the applicability of the proposed method to the analysis of the cracked linear viscoelastic solids. Numerical results of example problems show the accuracy and effectiveness of the proposed method.

An Analysis of Viscoelastic Problems by Boundary Element Method (경계요소법에 의한 선형 점탄성체의 해석)

  • 이상순;조덕상;손용수
    • Computational Structural Engineering
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    • v.7 no.2
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    • pp.69-75
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    • 1994
  • The procedure for the stress and displacement analysis of realistic viscoelastic materials by time domain boundary element method(BEM) has been discussed. The fundamental solutions and stress kernels have been obtained using the elastic-viscoelastic correspondence principle. The relaxation function is expanded in a sum of exponentials and the transformed fundamental solutions and stress kernels are inverted numerically into real time space. The proposed procedure requires a small computational effort and it is applicable in time domain boundary element analysis of realistic viscoelastic problems. Numerical results of example problem show the effectiveness and applicability of the proposed method.

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Boundary Element Analysis of Singular Residual Thermal Stresses in A Fiber-Reinforced Unifirectional Viscoelastic Laminate (섬유가 보강된 단일방향 점탄성 복합재료에 발생하는 특이 잔류 열응력의 경계요소해석)

  • 이상순;박준수
    • Computational Structural Engineering
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    • v.9 no.4
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    • pp.181-187
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    • 1996
  • This paper concerns the singular thermal stresses at the interface corner between the elastic fiber and the viscoelastic matrix of a two-dimensional unidirectional laminate model induced during cooling from cure temperature down to room temperature. Time-domain boundary element method is employed to investigate the nature of residual thermal stresses at the interface. Numerical results show that very large stress gradients are present at the interface corner and such stress singularity might lead to local yielding or fiber-matrix debonding.

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Boundary Element Evaluation of Stress Intensity Factor for Interface Crack in Elastic and Viscoelastic Composite Materials (경계요소법에 의한 탄성-점탄성 복합구조체의 계면균열 해석)

  • 이상순;김정규;황종근
    • Computational Structural Engineering
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    • v.9 no.1
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    • pp.85-91
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    • 1996
  • The focus of the present work is on the computation of the stress intensity factor for the crack at the elastic-viscoelastic bimaterial interface. First, the stress intensity factor for an interface crack in dissimilar elastic and viscoelastic materials is dervied by applying the correspondence principle to associated elastic expression. Then the time-domain boundary element analysis is performed to calculate the stress intensity factor. Numerical results show that the proposed method is very useful for the analysis of the interface crack in elastic and viscoelastic materials.

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지그재그이론을 이용한 유한요소개발 및 응용

  • Lee, Deog-Gyu
    • Aerospace Engineering and Technology
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    • v.3 no.1
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    • pp.257-266
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    • 2004
  • A three node triangular element with drilling rotations incorporating improved higher-order zig-zag theory(HZZT) is developed to accurately assess the stress distribution through thickness of the laminated plate and analyze the vibration of pretwisted composite plates with embedded damping layer. Shear force matching conditions are enforced along the interfaces between the embedded damping patch and the border patch. The natural frequencies and model loss factors are calculated for cantilevered pretwisted composite blade with damping core with the present triangular element, and compared to experiments and MSC/NASTRAN using a layered combination of plate and solid elements.

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Vibration Analysis of Pretwisted Composite Plates with Embedded Viscoelastic Core using Zig-Zag Triangular Finite Element (지그재그 삼각형 유한요소를 이용한 점탄성물질이 심어진 비틀린 복합재료판의 진동해석)

  • Lee,Deok-Gyu;Jo,Maeng-Hyo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.1
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    • pp.18-24
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    • 2003
  • A three node triangular element with drilling rotations incorporating improved higher-order zig-zag theory(HZZT) is developed to analyze the vibration of pretwisted composite plates with embedded damping layer. Shear force matching conditions are enforced along the interfaces between the embedded damping patch and the border patch by matching the shear forces of the embedded damping patch to the shear forces of the adjacent border patch. The natural frequencies and modal loss factors are calculated for cantilevered pretwisted composite blade with damping core with the present triangular element, and compared to experiments and MSC/NASTRAN using a layered combination of plate and solid elements.