• Title/Summary/Keyword: Second Order Stress Term

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Analysis of Inclined Crack Extension in Orthotropic Solids Under Biaxial Loading (2축하중을 받는 직교이방성체내 경사균열진전의 해석)

  • Lim, Won-Kyun;Choi, Seung-Yong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.6
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    • pp.993-1000
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    • 2002
  • The objective of this work is to develop the capability to analyze accurately the mixed-mode propagation of a crack in composite structures with elastic orthotropic material stiffness properties and anisotropic material strength characteristics. In order to develop the capability to fully analyze fracture growth and failure in anisotropic structures, we examined the fundamental problem of mixed mode fracture by carrying out the analysis on orthotropic materials with an inclined crack subject to biaxial loading. Our goal here is to include an additional term in the asymptotic expansion of the crack tip stress field and to show that the direction of crack initiation can be significantly affected by that term. We employ the normal stress ratio theory to predict the direction of crack extension. It is shown that the angle of crack extension can be altered by horizontal loads and the use of second order term in the series expansion is important f3r the accurate determination of crack growth direction.

Analysis of Mixed Mode Crack Extension in Anisotropic Solids (이방성재료내 혼합모드균열의 진전 해석)

  • 임원균;강석진;진영균
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.04a
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    • pp.301-308
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    • 2001
  • The problem of predicting crack propagation in anisotropic solids which is a subject of considerable practical importance is examined. The effect of the second term in the asymptotic expansion of the crack tip stress field on the direction of initial crack extension is made explicitly. We employ the normal stress ratio theory to determine values for the direction of initial crack extension. The theoretical analysis is performed for the wide range of the anisotropic material properties. It is shown that the use of second order term in the series expansion is essential for the accurate determination of crack growth direction in anisotropic solids.

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The Impacts of Daily Stress, Ego Resilience, and Quality of Life of the Elderly in Long-term Care Institutions (장기요양기관 노인의 일상스트레스, 자아탄력성이 삶의 질에 미치는 영향)

  • Lee, kang il;Lee, Jong Hun
    • Journal of the Korea Convergence Society
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    • v.8 no.6
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    • pp.325-336
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    • 2017
  • In this study to identify a causal relationship between daily stress, ego-resilience and the quality of life of the elderly in long-term care facility, a causal relationship model was set up and path analysis was performed. The data collected from 380 elderly users in private long-term care facilities in Greater Seoul Metropolitan area were analyzed using SPSS 22.0 and AMOS 22.0 to analyze the correlation between daily stress, ego-resilience, and the quality of life of the elderly. The results of this study are as follows; First, daily stress of the elderly showed a negative (-) direct effect on the quality of life. Second, the ego-resilience of the elderly had a positive (+) direct effect on the quality of life. Third, daily stress of the elderly showed a positive (+) direct effect on ego-resilience. Fourth, daily stress of the elderly showed indirect effect and partial mediating effect on the quality of life through ego-resilience. Therefore, in order to improve the quality of life of the elderly, it is necessary to develop programs and institutional support to reduce daily stress and increase ego-resilience.

Global Behavior Analyses of Structures with Damages Using a Modified Second Order Damage Tensor (수정된 2차손상텐서를 이용한 손상된 구조체의 거동해석)

  • 이상호;이형기;허용학
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.2
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    • pp.257-270
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    • 2000
  • The objective of this study is to develop a damage model based on damage mechanics that can be used to analyze the mechanical behavior of structures with defects and the global behavior of damaged structures. A modified second order damage tensor that can be applied to finite element analysis is used to reflect the effect of damage. The damage stress computed from the effective stress is considered as an additional loading term acting on nodes and can represent the effect of crack surface. The accuracy of the proposed algorithm is verified by comparing the analysis results with the experimental data from other studies and the analysis results based on transverse isotropic theory. The developed damage model is applied to the analyses of structures with cracks under linear elastic condition. The comparisons confirmed that the quantitative analysis of the structural behavior due to crack orientation and multiple sets of cracks is possible. Also, the damage caused by rock excavation and fault zone is analyzed. The results also showed that the developed model can effectively analyze the global behavior of damaged structures.

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Analysis of Orthotropic Materials with Crack (균열을 내포하는 직방성재료의 해석)

  • 임원균
    • Proceedings of the Safety Management and Science Conference
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    • 2001.05a
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    • pp.179-184
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    • 2001
  • The objective of this work is to develop the capability to analyze accurately the mixed-mode propagation of a crack in composite structures with elastic orthotropic material stiffness properties and anisotropic material strength characteristics. We employ the normal stress ratio theory to predict the direction of crack extension. It is shown that the angle of crack extension can be altered by the use of second order term in the series expansion is important for the accurate determination of crack growth direction.

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Magneto-thermo-elastic response of a rotating functionally graded cylinder

  • Hosseini, Mohammad;Dini, Ali
    • Structural Engineering and Mechanics
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    • v.56 no.1
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    • pp.137-156
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    • 2015
  • In this paper, an analytical solution of displacement, strain and stress field for rotating thick-walled cylinder made of functionally graded material subjected to the uniform external magnetic field and thermal field in plane strain state has been studied. Stress, strain and displacement field as a function of radial coordinates considering magneto-thermo-elasticity are derived analytically. According to the Maxwell electro-dynamic equations, Lorentz force in term of displacement is obtained in cylindrical coordinates. Also, symmetric temperature distribution along the thickness of hollow cylinder is obtained by solving Fourier heat transfer equation in cylindrical coordinates. Using equation of equilibrium and thermo-mechanical constitutive equations associated with Lorentz force, a second-order inhomogeneous differential equation in term of displacement is obtained and will be solved analytically. Except Poisson's ratio, other mechanical properties such as elasticity modulus, density, magnetic permeability coefficient, heat conduction coefficient and thermal expansion coefficient are assumed to vary through the thickness according to a power law. In results analysis, non-homogeneity parameter has been chosen arbitrary and inner and outer surface of cylinder are assumed to be rich metal and rich ceramic, respectively. The effect of rotation, thermal, magnetic field and non-homogeneity parameter of functionally graded material which indicates percentages of cylinder's constituents are studied on displacement, Von Mises equivalent stress and Von Mises equivalent strain fields.

Full-Scale Measurement of Pure Car Carrier (자동차 운반선에 대한 실선 계측)

  • Jin-S.,Park;Oi-H.,Kim;Zae-K.,Chung
    • Bulletin of the Society of Naval Architects of Korea
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    • v.26 no.1
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    • pp.46-62
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    • 1989
  • This paper presents the results of full-scale structural measurements of 4,800 unit pure car carriers "HYUNDAI NO.103" and "HYUNDAI NO.105" on one voyage respectively for each ship, especially in order to investigate the local strength of partial bulkhead above free-board deck. With the measured data, the short-term frequency analyses have been performed. The results show that the wave-induced stresses follow, on the whole, well the Rayleigh distribution. In addition, it has been found from the measured data that transverse local stresses at bulkhead section have a very close relation with the acceleration in athwartship direction. Finally, the long-term analysis has been attempted by using the following two statistical distributions mainly in order to estimate the maximum stress amplitude at the corners of partial bulkhead. 1) Exponential distribution of cycles of stress amplitude 2) Double exponential distribution of extreme values of stress amplitude for each short-term analysis The results of these two cases show a good agreement with each other. For example, the estimated maximum stress amplitude for 10 years at port-side corner of Fr. 132 partial bulkhead is $2125kg/cm^2$ for the first case and $2170kg/cm^2$ for the second case just based on the measured data.

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Global Behavior Analyses of Rock Mass Structures with Defects Using Damage Tensor (Damage Tensor를 이용한 손상된 암반구조체의 거동해석)

  • 이상호;이형기;허용학;김재철
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.04b
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    • pp.133-140
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    • 2000
  • The objective of this study is to develop a damage model based on damage mechanics that can be used to analyze the mechanical behavior of structures with defects and the global behavior of damaged structures. A modified second order damage tensor that can be applied to finite element analysis is used to reflect the effect of damage. The damage stress computed from the effective stress is considered as an additional loading term acting on nodes and can represent the effect of crack surface. The accuracy of the proposed algorithm is verified by comparing the analysis results with the experimental data from other studies and the analysis results based on transverse isotropic theory. The developed damage model is applied to the analyses of structures with cracks under linear elastic condition. Numerical results show that the developed model can effectively analyze the global behavior of damaged structures.

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Crack Extension in Anisotropic Solids Subjected to Uniaxial Load (단축하중을 받는 이방성체내 균열의 진전)

  • 임원균;최승룡;안현수
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.2
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    • pp.161-169
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    • 1999
  • 이방성체의 평면내 직선균열에 대한 균열선단부근의 응력과 변위의 분포는 어떠한 균열체의 형상 및 하중조건에 대해서도 응력확대계수라는 하나의 매개변수로서 나타낼 수 있다고 하는 것이 파괴역학에서 보편화되어 있다. 그러나 많은 경우에 있어서 급수전개식의 이어지는 항은 정량적으로 중요하다. 따라서 본 연구에서는 이러한 항을 유도하고 이것이 균열진전방향에 미치는 영향에 대하여 검초하였다. 이를 위하여 단축하중을 받는 직방성균열체의 해석을 수행하며 재료는 균질이방성체라고 가정하였다. 급수전개식에서 2차항의 영향을 고려하기 위하여 균열선단에서의 응력의 분포를 재해석하였으며, 2차항의 사용은 정확한 균열진전방향의 결정을 위해서 매우 중요함을 보였다. 초기균열진전각도의 결정을 위해서 수직응력비이론을 적용하였다.

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Large Eddy Simulation of Turbulent Passive Scalar in a Channel with Strong Wall Injection (대와류모사 기법을 이용한 강한 벽분사가 있는 채널 내에서의 난류 유동장 및 온도장 해석)

  • Kim, Hak-Jong;Na, Yang
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.6
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    • pp.628-637
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    • 2004
  • The present study investigates the performance of dynamic mixed model (DMM; Zang et ai.) in a channel with strong wall injection through a Large eddy simulation (LES) technique. The DMM results are compared with those of DNS and the results obtained with popular dynamic Smagorinsky model (DSM). Better agreement is achieved when using the DMM with box filter than DSM and coarse DNS in predicting the first and second order statistics as well as large-scale structures of velocity and temperature fields. Such favorable features of DMM are attributed to the fact that it explicitly calculates the modified Leonard stress term and only models the remaining cross and the SGS Reynolds stress terms and, thus, it reduces the excessive burden put on the model coefficient of DSM. Also it is demonstrated that the DMM can be successfully extended to the prediction of temperature (passive scalar) field where strong streamwise inhomogeneity exists.