• Title/Summary/Keyword: Complex Stress Function

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Stress Distribution in the Vicinity of a Crack Tip in a Plate under Tensile Load Using Displacement Data of Finite Element Method (유한요소 변위값을 이용한 인장하중 판재 균열선단 주위의 응력분포 해석)

  • Baek, Tae-Hyun
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.10
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    • pp.84-91
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    • 2008
  • Due to the complexity of the engineering problems, it is difficult to obtain directly the stress field around the crack tip by theoretical derivation. In the paper, the hybrid method is employed to calculate full-field stress around the crack tip in uni-axially leaded finite width tensile plate, using the displacement data of given points calculated by finite element method as input data. The method uses complex variable formulations involving conformal mappings and analytical continuity. In order to accurately compare calculated fringes with experimental ones, both actual and reconstructed photoelastic fringe patterns are two times multiplied and sharpened by digital image processing. Reconstructed fringes by hybrid method are quite comparable to actual fringes. The experimental results indicate that Mode I stress intensity factor analyzed by the hybrid method are accurate within a few percent compared with ones obtained by empirical equation and finite element analysis.

Comparison of Full-Field Stresses around an Inclined Crack Tip by Using Fringe Data of Finite Element Method with Photoelastic Experiment

  • Baek, Tae-Hyun;Kim, Myung-Soo;Chen, Lei
    • Journal of the Korean Society for Nondestructive Testing
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    • v.29 no.6
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    • pp.557-562
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    • 2009
  • Abrupt change of cross-section in mechanical parts is one of significant causes of structural fracture. In this paper, a hybrid method is employed to analyze the stress distribution of a discontinuous plate. The plate with an inclined crack is utilized in our experiment and the stress field in the vicinity of crack tip is calculated through isochromatic fringe order of given points. This calculation can be made handy through least-squares method integrated with complex power series representation(Laurent series) implemented on a computer program for high-speed processing. In order to accurately compare calculated results with experimental ones, both of actual and regenerated photoelastic fringe patterns are doubled and sharpened by digital image processing. The experiment results show that regenerated patterns obtained by hybrid method are quite comparable to actual patterns.

Understanding the Unfolded Protein Response (UPR) Pathway: Insights into Neuropsychiatric Disorders and Therapeutic Potentials

  • Pitna Kim
    • Biomolecules & Therapeutics
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    • v.32 no.2
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    • pp.183-191
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    • 2024
  • The Unfolded Protein Response (UPR) serves as a critical cellular mechanism dedicated to maintaining protein homeostasis, primarily within the endoplasmic reticulum (ER). This pathway diligently responds to a variety of intracellular indicators of ER stress with the objective of reinstating balance by diminishing the accumulation of unfolded proteins, amplifying the ER's folding capacity, and eliminating slow-folding proteins. Prolonged ER stress and UPR irregularities have been linked to a range of neuropsychiatric disorders, including major depressive disorder, bipolar disorder, and schizophrenia. This review offers a comprehensive overview of the UPR pathway, delineating its activation mechanisms and its role in the pathophysiology of neuropsychiatric disorders. It highlights the intricate interplay within the UPR and its profound influence on brain function, synaptic perturbations, and neural developmental processes. Additionally, it explores evolving therapeutic strategies targeting the UPR within the context of these disorders, underscoring the necessity for precision and further research to effective treatments. The research findings presented in this work underscore the promising potential of UPR-focused therapeutic approaches to address the complex landscape of neuropsychiatric disorders, giving rise to optimism for improving outcomes for individuals facing these complex conditions.

Stress intensity factor and stress distribution near crack tip for infinite body containing regid inclusion with crack shape (균열형상의 강체함유물을 포함하는 무한체에 대한 균열선단 부근의 응력분포와 응력세기계수)

  • Lee, Kang-Young;Kim, Jong-Sung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.3
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    • pp.680-683
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    • 1998
  • In case of the infinite body containing a rigid inclusion with line crack shape, stress intensity factor is determined and the relation between stress intensity factor and stress distribution near a crack tip is developed. Also, the relation between stress intensity factor and Kolosoff stress function is developed. Finally, these results are compared with those that the crack surface is under no traction.

A Study on the Crack Growth Behavior of a Inclined Crack in a Non-Uniform Thickness Material (두께가 일정하지 않은 재료에서 경사진 균열의 성장거동에 관한 연구)

  • 조명래;표창률;박종주;고명훈
    • Journal of the Korean Society of Safety
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    • v.12 no.4
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    • pp.27-38
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    • 1997
  • The effect of geometry factors on the combined mode stress intensity factor behaviors of a slant crack in a non-uniform thickness material was analysed by 2-dimensional theoretical analysis. The analysis is based on the Laurent's series expansions of complex potentials where the complex coefficients of the series are determined from the compatibility and the equilibrium conditions of the thickness interface and the stress free conditions of the crack surface. In numerical calculations the perturbation technique is employed. The expressions for the crack tip stress intensity factor are given in the form of power series of dimensionless crack length $\lamda$, and the function of crack slant angle $\alpha$ and thickness ratio $\beta$. The results of numerical calculations for each problems are represented as the correction factors F($\lamda$, $\alpha$, $\beta$). The results clearly show the following characteristics : The correction factors of the combined mode stress intensity factors for a non-uniform thickness material can be defined in the form of F($\lamda$, $\alpha$, $\beta$). The stress intensity factor values for a given crack length are decreased with increase of thickness ratio $\beta$.

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Formulation of a Singular Finite Element and Its Application (특이 유한요소의 구성과 응용)

  • Kim, Myung-Sik;Lim, Jang-Keun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.23 no.6 s.165
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    • pp.1018-1025
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    • 1999
  • For the effective analysis of two dimensional plane problems with geometrical discontinuities, singular finite element has been proposed. The element matrix equation was formulated on the basis of hybrid variational principle and Trefftz function sets derived consistently from the complex theory of plane elasticity by introducing a conformal mapping function. In order to suggest the accuracy characteristics of the proposed singular finite element, typical plane problems were analyzed and these results were compared with exact solutions. The singular finite element gives the comparatively exact values of stress concentration factors or stress intensity factors and can be effectively used for the analysis of mechanical structures containing various geometrical discontinuities.

Analysis of Stress Distribution around a Central Crack Tip in a Tensile Plate Using Phase-Shifting Photoelasticity and a Power Series Stress Function (위상이동 광탄성법과 멱급수형 응력함수를 이용한 인장시편 중앙 균열선단 주위 응력장 해석)

  • Baek, Tae-Hyun
    • Journal of the Korean Society for Nondestructive Testing
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    • v.29 no.1
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    • pp.1-9
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    • 2009
  • This paper presents stress distribution around a central crack tip in a tensile plate using phase-shifting photoelasticity and a power series stress function. Isochromatic data along the straight lines far from the crack tip were obtained by phase shifting photoelasticity and were used as input data of the hybrid experimental analysis. By using the complex-type power series stress equations, the photoelastic stress distribution fields in the vicinity of the crack and the mode I stress intensity factor were obtained. With the help of image processing software, accuracy and reliability was enhanced by twice multiplying and sharpening the measured isochromatics. Actual and reconstructed fringes were compared qualitatively. For quantitative comparison, percentage errors and standard deviations of the percentage errors were calculated for all measured input data by varying the number of terms in the stress function. The experimental results agreed with those predicted by finite element analysis and empirical equation within 2 percent error.

Complex stress function for the two dimensional cracked infinite body subjected to uniform shear stress (균일전단응력을 받는 2차원 균열포함 무한체에 대한 복소응력함수)

  • Kim, Ok-Whan
    • Proceedings of the KAIS Fall Conference
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    • 2008.11a
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    • pp.79-81
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    • 2008
  • 2차원균열을 포함하고 있는 무한체가 균일한 전단응력을 받고 있는 경우에 대한 복소응력함수를 기존의 응력함수를 이용하여 해석적으로 구하였다. 이는 등각사상과 정칙연속법에 의하여 구하였다. 결과는 극한의 경우에 대하여 검증하였으며 구한 복소응력함수는 맞는다는 것을 보여준다.

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Influence of flexural loading on chloride ingress in concrete subjected to cyclic drying-wetting condition

  • Ye, Hailong;Fu, Chuanqing;Jin, Nanguo;Jin, Xianyu
    • Computers and Concrete
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    • v.15 no.2
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    • pp.183-198
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    • 2015
  • Chloride ingress implies a complex interaction between physical and chemical process, in which heat, moisture and chloride ions transport through concrete cover. Meanwhile, reinforced concrete structure itself undergoes evolution due to variation in temperature, relative humidity and creep effects, which can potentially change the deformation and trigger some micro-cracks in concrete. In addition, all of these process show time-dependent performance with complex interaction between structures and environments. In the present work, a time-dependent behavior of chloride transport in reinforced concrete beam subjected to flexural load is proposed based on the well-known section fiber model. The strain state varies because of stress redistribution caused by the interaction between environment and structure, mainly dominated by thermal stresses and shrinkage stress and creep. Finally, in order to clear the influence of strain state on the chloride diffusivity, experiment test were carried out and a power function used to describe this influence is proposed.

Characteristics for a Mode III Crack Propagating along Interface between Isotropic and Functionally Gradient Material with Linear Property Gradation along X Direction (등방성과 X방향 선형함수구배 재료의 접합계면을 따라 전파하는 모드 III 균열의 특성)

  • Lee Kwang Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.10
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    • pp.1500-1508
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    • 2004
  • Stress and displacement fields for a crack propagating along interface between isotropic material and functionally gradient one with linear property gradation along X direction are developed. The stress and displacement fields are obtained from the complex function of steady plane motion for isotropic and functionally gradient material (FGM). The stresses and displacement in isotropic material of bimaterial are not influenced by nonhomogeneity, however, the fields in FCM are influenced by nonhomogeneity in the terms of higher order, n$\geq$3. When the nonhomogeneous parameter in FGM is zero, or in area close to crack tip, the fields are identical to those of isotropic-isotropic bimaterial. Using these stress components, the effects of nonhomogeneity on stresses are discussed.