• 제목/요약/키워드: Elastic Stress Field

검색결과 257건 처리시간 0.021초

Dual-phase-lag model on thermo-microstretch elastic solid Under the effect of initial stress and temperature-dependent

  • Othman, Mohamed I.A.;Zidan, Magda E.M.;Mohamed, Ibrahim E.A.
    • Steel and Composite Structures
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    • 제38권4호
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    • pp.355-363
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    • 2021
  • The present paper attempts to investigate the propagation of plane waves in an isotropic elastic medium under the effect of initial stress and temperature-dependent properties. The modulus of elasticity is taken as a linear function of the reference temperature. The formulation is applied under the thermoelasticity theory with dual-phase-lag; the normal mode analysis is used to obtain the expressions for the displacement components, the temperature, the stress, and the strain components. Numerical results for the field quantities are given in the physical domain and illustrated graphically. Comparisons are made with the results predicted by different theories (Lord-Shulman theory, the classical coupled theory of thermoelasticity and the dual-phase-lag model) in the absence and presence of the initial stress as well as the case where the modulus of elasticity is independent of temperature.

체적 적분방정식법을 이용한, 다수의 함유체를 포함한 반무한 고체에서의 탄성해석 (Elastic Analysis of a Half-Plane Containing Multiple Inclusions Using Volume Integral Equation Method)

  • 이정기;구덕영
    • 대한기계학회논문집A
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    • 제32권2호
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    • pp.148-161
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    • 2008
  • A volume integral equation method (VIEM) is used to calculate the plane elastostatic field in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions subject to remote loading. A detailed analysis of stress field at the interface between the matrix and the central inclusion in the first column of square packing is carried out for different values of the distance between the center of the central inclusion in the first column of square packing of inclusions and the traction-free surface boundary in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions. The method is shown to be very accurate and effective for investigating the local stresses in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions.

On scale-dependent stability analysis of functionally graded magneto-electro-thermo-elastic cylindrical nanoshells

  • Asrari, Reza;Ebrahimi, Farzad;Kheirikhah, Mohammad Mahdi
    • Structural Engineering and Mechanics
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    • 제75권6호
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    • pp.659-674
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    • 2020
  • The present paper employs nonlocal strain gradient theory (NSGT) to study buckling behavior of functionally graded magneto-electro-thermo-elastic (FG-METE) nanoshells under various physical fields. NSGT modeling of the nanoshell contains two size parameters, one related to nonlocal stress field and another related to strain gradients. It is considered that mechanical, thermal, electrical and magnetic loads are exerted to the nanoshell. Temperature field has uniform and linear variation in nanoshell thickness. According to a power-law function, piezo-magnetic, thermal and mechanical properties of the nanoshell are considered to be graded in thickness direction. Five coupled governing equations have been obtained by using Hamilton's principle and then solved implementing Galerkin's method. Influences of temperature field, electric voltage, magnetic potential, nonlocality, strain gradient parameter and FG material exponent on buckling loads of the FG-METE nanoshell have been studied in detail.

탄성균열 해석을 위한 이동최소제곱 유한차분법의 내적확장 (Intrinsic Enrichment of Moving Least Squares Finite Difference Method for Solving Elastic Crack Problems)

  • 윤영철;이상호
    • 대한토목학회논문집
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    • 제29권5A호
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    • pp.457-465
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    • 2009
  • 본 연구는 균열선단에서 응력특이성을 갖는 탄성균열문제를 해석하기 위한 이동최소제곱 유한차분법을 제시한다. 응력특이성을 유발하는 균열선단 주변장을 모형화하기 위해 근사식에 선단주변함수를 내재적으로 도입하여 이동최소제곱 근사의 틀을 그대로 유지하면서 실제 미분계산을 거의 하지 않고 미분근사를 할 수 있는 이동최소제곱 Taylor 다항식 근사의 장점을 살렸다. 균열문제 정식화시 시간소모적인 적분과정이 필요한 약정식화 대신 해석영역에 배치된 절점에서 지배 미분방정식에 대한 차분식을 직접 구성하는 강정식화를 적용하여 계산 효율성을 향상시켰다. 균열문제 해석을 통해 내적확장된 이동최소제곱 유한차분법이 응력 특이성을 내포한 선단주변 변위장을 정확히 묘사할 수 있을 뿐만 아니라 응력확대계수를 정확히 계산 할 수 있음을 보였다.

Effect of the rotation on a non-homogeneous infinite cylinder of orthotropic material with external magnetic field

  • Hussein, Nahed S.;Bayones, F.S.;Mahmoud, S.R.
    • Structural Engineering and Mechanics
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    • 제54권1호
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    • pp.135-148
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    • 2015
  • The present investigation is concerned with a study effect of magnetic field and non-homogenous on the elastic stresses in rotating orthotropic infinite circular cylinder. A certain boundary conditions closed form stress fields solutions are obtained for rotating orthotropic cylinder under initial magnetic field with constant thickness for three cases: (1) Solid cylinder, (2) Cylinder with a circular hole at the center, (3) Cylinder mounted on a circular rigid shaft. Analytical expressions for the components of the displacement and stress fields in different cases are obtained. The effect of rotation and magnetic field and non-homogeneity on the displacement and stress fields are studied. Numerical results are illustrated graphically for each case. The effects of rotating and magnetic field and non-homogeneity are discussed.

탄소성 응력집중부에서의 초기피로균열전파수명의 예측 (A Prediction of Initial Fatigue Crack Propagation Life in a notched Component Taking Elasto-Plastic Behavior)

  • 조상명;굴천조보
    • 한국해양공학회지
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    • 제2권2호
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    • pp.61-70
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    • 1988
  • In order to consider the concept of the fitness for purpose'in fatigue design of offshore structure, fracture mechanics is applied to evaluate initial or weld defects. Generally, linear elastic fracture mechanics has been applied to tstimate initial fatigue crack propagation rate as well as long fatigue crack propagation rate. But, initial fatigue crack propagation rate in elasto-plastic notch field may not be characterized by application of stress intensity factor range .DELTA. K, because plastic effect due to stress concentration of notch may contribute to initial crack propagation. Therefore, to introduce the plastic effect into fatigue crack driving force, in this studty, the evaluating method of J-integral range .DELTA. J, was developed by willson was modified for application to notch field. In calculation of .DELTA. J obtained from the modified J-integral, stress gradient and crack closure behavior in the notch field were considered. The initial crack propagation rates in the notch fields of mild steels and high tensile strength steels were correlated to .DELTA. J. As the result, it was cleared that the present .DELTA. J is applicable to charachterize the fatigue crack propagation rates in both the elastic and elasto-plastic notch fields.

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용접잔류응력장에서 피로균열의 전파에 따른 잔류응력 재분포에 대한 해석적 평가 (An Evaluation of Residual Stress Redistribution in the Welding Residual Stress Field Caused by Fatigue Crack Propagation by Finite Element Method)

  • 박응준;김응준
    • Journal of Welding and Joining
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    • 제26권6호
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    • pp.92-96
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    • 2008
  • An investigation was performed to predict residual stress redistribution for the crack propagation initially through tensile residual stress field. The analytical method, which is based on Dugdale model by finite element analysis using elastic analysis method considering the superposition principle, was proposed to estimate the redistribution of residual stress caused by crack propagation. The various aspect of distribution of residual stress caused by crack propagation was examined based on the configuration change of specimen. The analysis results show that the aspect of redistribution of residual stress caused by crack propagation depends on the width of the specimen provided that the initial distribution of residual stress is identical.

인장-압축 하중 하의 균열선단의 탄.소성 응력해석 (Analysis of Elastic-Plastic Stress Fields near the Crack Tip under Tension-Compression Loading)

  • 석창성;김수용;김동중;안하늘;박은수;원종일
    • 한국안전학회지
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    • 제14권4호
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    • pp.43-52
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    • 1999
  • In this study, theoretical stress field analysis near the crack tip under tension-compression loading was performed. The results of the theoretical stress analysis were compared to the results of Finite Element Method(FEM). From this study, generation of tensile residual stress at crack tip was proved after 1-cycle of tension-compression loading, and the fracture toughness and the fracture load of a structure can be decreased by the residual stress.

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직교이방성 평면탄성체의 응력확대계수 결정에 관한 연구 (A Study on the Determination of Stress Intensity Factors in Orthotropic Plane Elastic Bodies)

  • 진치섭;이홍주
    • 대한토목학회논문집
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    • 제13권5호
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    • pp.19-27
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    • 1993
  • 파괴역학에서 최근의 연구들은 균열체의 강도를 해석함에 있어서 균열선단 주위의 탄성 에너지 해방용, 균열확장력 그리고 응력장의 특성 등에 대한 지식을 요구하고 있다. 이런 연구들의 주안점은 에너지율, 응력장 그리고 탄성이방성체의 여러가지 경우들을 설명하는 데 있다. 철근콘크리트, 목재, 박층구조 그리고 각각의 방향으로 성질을 가지는 탄성체들은 대부분 직교이방성이다. 본 연구에서는 균열선단에 특이요소를 사용하고 균열선단 부근에서 아주 세밀한 요소를 사용하여 직교이방성 탄성체의 응력확대계수를 결정 하였다. 본 연구에서 응력확대계수를 구하기 위해 변위상관법을 사용하였으며 타 논문의 결과와 잘 일치함을 알 수 있었다.

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Static analysis of laminated piezo-magnetic size-dependent curved beam based on modified couple stress theory

  • Arefi, M.
    • Structural Engineering and Mechanics
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    • 제69권2호
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    • pp.145-153
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    • 2019
  • Modified couple stress formulation and first order shear deformation theory are used for magneto-electro-elastic bending analysis of three-layered curved size-dependent beam subjected to mechanical, magnetic and electrical loads. The governing equations are derived using a displacement field including radial and transverse displacements of middle surface and a rotation component. Size dependency is accounted based on modified couple stress theory by employing a small scale parameter. The numerical results are presented to study the influence of small scale parameter, initial electric and magnetic potentials and opening angle on the magneto-electro-elastic bending results of curved micro beam.