• Title/Summary/Keyword: Principal Stresses

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High Cycle Fatigue Damage under Multiaxial Random Loading through Dynamic Simulation for an Automotive Sub-Frame (동력학 시뮬레이션에 의한 다축 랜덤하중 하에서 자동차 서브프레임의 고 되풀이수 피로손상 평가)

  • Lee, Hak-Joo;Kang, Jae-Youn;Choi, Byung-Ick;Kim, Joo-Sung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.6
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    • pp.946-953
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    • 2003
  • A FEM-based analytical approach was used to evaluate the multiaxial high cycle fatigue damage of an automotive sub-frame. Elastic Multi Body Simulation (MBS) has been applied in order to determine the multiaxial load histories. The stresses due to these loads have been given by FE computation. These results have been used as the input for the multiaxial fatigue analysis. For the assessment of multiaxial high cycle fatigue damage, the signed von Mises, the signed Tresca, the absolute maximum principal stress and critical plane methods have been employed. In addition, the biaxiality ratio, a$\sub$e/, the absolute maximum principal stress, $\sigma$$\sub$p/ and the angle, $\phi$$\sub$P/, between $\sigma$$\sub$1/ and the local x-axis, have been calculated to evaluate the stress state at each node.

System Design and H/W Development of the Residual Stress Measurement for Ferromagnetic thin Sheet (강자성 박판소재의 잔류응력 측정 시스템의 설계 및 제작)

  • 김상원;양충진
    • Journal of the Korean Magnetics Society
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    • v.11 no.2
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    • pp.50-57
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    • 2001
  • Magnetic inductive probe was designed and assembled for sensing the residual stress developed in the ferromagnetic thin sheet. The residual stress measurement system with this probe could resolve the residual stresses developed in the sheet in terms of principal stress orientation, and magnitude of the principal stress. It was consumed that the obtained probe output voltage from the qualified ferromagnetic Fe-42Ni lead frame sheet and quality-rejected sheet is effectively determined using the developed device. The lead frame sheet which has accumulated a high level of residual stress always showed a distinctive stress distribution and magnitude compared with those of qualified lead frame sheet. Those differences were well resolved as functions of input current or used frequency.

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Modeling of a Ductile Fracture Criterion for Sheet Metal Considering Anisotropy (판재의 이방성을 고려한 연성파단모델 개발)

  • Park, N.;Huh, H.
    • Transactions of Materials Processing
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    • v.25 no.2
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    • pp.91-95
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    • 2016
  • This paper is concerned with modeling of a ductile fracture criterion for sheet metal considering anisotropy to predict the sudden fracture of advanced high strength steel (AHSS) sheets during complicated forming processes. The Lou−Huh ductile fracture criterion is modified using the Hill’s 48 anisotropic plastic potential instead of the von Mises isotropic plastic potential to take account of the influence of anisotropy on the equivalent plastic strain at the onset of fracture. To determine the coefficients of the model proposed, a two dimensional digital image correlation (2D-DIC) method is utilized to measure the strain histories on the surface of three different types of specimens during deformation. For the derivation of an anisotropic ductile fracture model, principal stresses (𝜎1,𝜎2, 𝜎3) are expressed in terms of the stress triaxiality, the Lode parameter, and the equivalent stress (𝜂𝐻, 𝐿,) based on the Hill’s 48 anisotropic plastic potential. The proposed anisotropic ductile fracture criterion was quantitatively evaluated according to various directions of the maximum principal stress. Fracture forming limit diagrams were also constructed to evaluate the forming limit in sheet metal forming of AHSS sheets over a wide range of loading conditions.

The Industrial / Societal Bullwhip Effects and Supply Chain Performance

  • Goran, Svensson
    • Journal of Global Scholars of Marketing Science
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    • v.18 no.2
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    • pp.1-18
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    • 2008
  • The objective of this paper is to describe the construct of bullwhip effect beyond supply chains, namely at industrial and societal levels. The author provides a conceptual discussion of the bullwhip effect - its derivation is extended, and the positioning of the construct is broadened. The bullwhip effect has been explored within intra-organisational and inter-organisational supply chains. A broader descriptive framework is introduced, one that positions the bullwhip effect construct at industrial and societal levels. A conceptual framework is provided that bridges the interface between the micro and macro environments of the bullwhip effect construct, but further conceptualization is required. The introduced derivation and positioning of the bullwhip effect construct reveal a number of research potentials. A principal one is that the exploration of the construct may consider the industrial and/or the societal environment when the bullwhip effect is studied in supply chains. The extended derivation and broadened positioning of the bullwhip effect in the overall environment is of interest to practitioners. It stresses the importance of contextual factors in operative, tactical and strategic supply chain performance. The principal contributions are: a) an interface between micro and macro levels in supply chain performance contributing to an extended derivation of the bullwhip effect; b) a typology of the bullwhip effect contributing to broadening the positioning of the same construct; c) the bullwhip effect being seen as two-way view construct at the micro level and d) a framework ofmanagerial implications. Most important of all is that the causes and effects of the bullwhip effect have been addressed in a wider context that so far has been underestimated in literature.

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Dynamic response of concrete gravity dams using different water modelling approaches: westergaard, lagrange and euler

  • Altunisik, A.C.;Sesli, H.
    • Computers and Concrete
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    • v.16 no.3
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    • pp.429-448
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    • 2015
  • The dams are huge structures storing a large amount of water and failures of them cause especially irreparable loss of lives during the earthquakes. They are named as a group of structures subjected to fluid-structure interaction. So, the response of the fluid and its hydrodynamic pressures on the dam should be reflected more accurately in the structural analyses to determine the real behavior as soon as possible. Different mathematical and analytical modelling approaches can be used to calculate the water hydrodynamic pressure effect on the dam body. In this paper, it is aimed to determine the dynamic response of concrete gravity dams using different water modelling approaches such as Westergaard, Lagrange and Euler. For this purpose, Sariyar concrete gravity dam located on the Sakarya River, which is 120km to the northeast of Ankara, is selected as a case study. Firstly, the main principals and basic formulation of all approaches are given. After, the finite element models of the dam are constituted considering dam-reservoir-foundation interaction using ANSYS software. To determine the structural response of the dam, the linear transient analyses are performed using 1992 Erzincan earthquake ground motion record. In the analyses, element matrices are computed using the Gauss numerical integration technique. The Newmark method is used in the solution of the equation of motions. Rayleigh damping is considered. At the end of the analyses, dynamic characteristics, maximum displacements, maximum-minimum principal stresses and maximum-minimum principal strains are attained and compared with each other for Westergaard, Lagrange and Euler approaches.

Numerical investigations on breakage behaviour of granular materials under triaxial stresses

  • Zhou, Lunlun;Chu, Xihua;Zhang, Xue;Xu, Yuanjie
    • Geomechanics and Engineering
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    • v.11 no.5
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    • pp.639-655
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    • 2016
  • The effect of particle breakage and intermediate principal stress ratio on the behaviour of crushable granular assemblies under true triaxial stress conditions is studied using the discrete element method. Numerical results show that the increase of intermediate principal stress ratio $b(b=({\sigma}_2-{\sigma}_3)/({\sigma}_1-{\sigma}_3))$ results in the increase of dilatancy at low confining pressures but the decrease of dilatancy at high confining pressures, which stems from the distinct increasing compaction caused by breakage with b. The influence of b on the evolution of the peak apparent friction angle is also weakened by particle breakage. For low relative breakage, the relationship between the peak apparent friction angle and b is close to the Lade-Duncan failure model, whereas it conforms to the Matsuoka-Nakai failure model for high relative breakage. In addition, the increasing tendency of relative breakage, calculated based on a fractal particle size distribution with the fractal dimension being 2.5, declines with the increasing confining pressure and axial strain, which implies the existence of an ultimate graduation. Finally, the relationship between particle breakage and plastic work is found to conform to a unique hyperbolic correlation regardless of the test conditions.

Experimental research on masonry mechanics and failure under biaxial compression

  • Xin, Ren;Yao, Jitao;Zhao, Yan
    • Structural Engineering and Mechanics
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    • v.61 no.1
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    • pp.161-169
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    • 2017
  • This study aimed to develop a simple and effective method to facilitate the experimental research on mechanical properties of masonry under biaxial compressive stress. A series of tests on full-scale brick masonry panels under biaxial compression have been performed in limited principal stress ratios oriented at various angles to the bed joints. Failure modes of tested panels were observed and failure features were analyzed to reveal the mechanical behavior of masonry under biaxial compression. Based on the experimental data, the failure curve in terms of two orthotropic principal stresses has been presented and the failure criterion of brick masonry in the form of the tensor polynomial has been established, which indicate that the anisotropy for masonry is closely related to the difference of applied stress as well as the orientation of bed joints. Further, compared with previous failure curves and criteria for masonry, it can be found that the relative strength of mortar and block has a considerable effect on the degree of anisotropy for masonry. The test results demonstrate the validity of the proposed experimental method for the approximation of masonry failure under biaxial compressive stress and provide valuable information used to establish experimentally based methodologies for the improvement of masonry failure criteria.

Design and behavior of 160 m-tall post-tensioned precast concrete-steel hybrid wind turbine tower

  • Wu, Xiangguo;Zhang, Xuesen;Zhang, Qingtan;Zhang, Dong;Yang, Xiaojing;Qiu, Faqiang;Park, Suhyun;Kang, Thomas H.K.
    • Steel and Composite Structures
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    • v.44 no.3
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    • pp.407-421
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    • 2022
  • Prefabricated hybrid wind turbine towers (WTTs) are promising due to height increase. This study proposes the use of ultra-high performance concrete (UHPC) to develop a new type of WTT without the need to use reinforcement. It is demonstrated that the UHPC WTT structure without reinforcing bars could achieve performance similar to that of reinforced concrete WTTs. To simplify the design of WTT, a design approach for the calculation of stresses at the horizontal joints of a WTT is proposed. The stress distribution near the region of the horizontal joint of the WTT structure under normal operating conditions and different load actions is studied using the proposed approach, which is validated by the finite element method. A further parametric study shows that the degree of prestressing and the bending moment both significantly affect the principal stress. The shear-to-torsion ratio also shows a significant influence on the principal tensile stress.

Geometrically non-linear static analysis of a simply supported beam made of hyperelastic material

  • Kocaturk, T.;Akbas, S.D.
    • Structural Engineering and Mechanics
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    • v.35 no.6
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    • pp.677-697
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    • 2010
  • This paper focuses on geometrically non-linear static analysis of a simply supported beam made of hyperelastic material subjected to a non-follower transversal uniformly distributed load. As it is known, the line of action of follower forces is affected by the deformation of the elastic system on which they act and therefore such forces are non-conservative. The material of the beam is assumed as isotropic and hyperelastic. Two types of simply supported beams are considered which have the following boundary conditions: 1) There is a pin at left end and a roller at right end of the beam (pinned-rolled beam). 2) Both ends of the beam are supported by pins (pinned-pinned beam). In this study, finite element model of the beam is constructed by using total Lagrangian finite element model of two dimensional continuum for a twelve-node quadratic element. The considered highly non-linear problem is solved by using incremental displacement-based finite element method in conjunction with Newton-Raphson iteration method. In order to use the solution procedures of Newton-Raphson type, there is need to linearized equilibrium equations, which can be achieved through the linearization of the principle of virtual work in its continuum form. In the study, the effect of the large deflections and rotations on the displacements and the normal stress and the shear stress distributions through the thickness of the beam is investigated in detail. It is known that in the failure analysis, the most important quantities are the principal normal stresses and the maximum shear stress. Therefore these stresses are investigated in detail. The convergence studies are performed for various numbers of finite elements. The effects of the geometric non-linearity and pinned-pinned and pinned-rolled support conditions on the displacements and on the stresses are investigated. By using a twelve-node quadratic element, the free boundary conditions are satisfied and very good stress diagrams are obtained. Also, some of the results of the total Lagrangian finite element model of two dimensional continuum for a twelve-node quadratic element are compared with the results of SAP2000 packet program. Numerical results show that geometrical nonlinearity plays very important role in the static responses of the beam.

THREE-DIMENTIONAL FINITE ELEMENT ANALYSIS OF STRESS DISTRIBUTION FOR DIFFERENT IMPLANT THREAD SLOPE (임플랜트 나사선 경사각이 치조골 응력 분포에 미치는 영향)

  • Seo, Young-Hun;Vang, Mong-Sook;Yang, Hong-So;Park, Sang-Won;Park, Ha-Ok;Lim, Hyun-Pil
    • The Journal of Korean Academy of Prosthodontics
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    • v.45 no.4
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    • pp.482-491
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    • 2007
  • Statement of problem: The screws of dental implant, having various thread types, can be categorized into different classes by their geometrical form, and each type transmits dissimilar amount and form of stress to alveolar bone. Purpose: The purpose of this study was to find an inclination angle of the screw thread that is favorable in distributing the stresses to alveolar bone. Material and methods: In this study, We used three dimensional finite element analysis with modeling having three types of thread inclination angles and fixed pitch-0.8 mm (single thread type with $3.8^{\circ}$ inclination, double thread type with $7.7^{\circ}$ inclination, triple thread type with $11.5^{\circ}$ inclination). Results: The results obtained from this study were as follows; 1. When the number of thread increased, the amount of Von-Mises stress was reduced since the generated stress was effectively distributed. 2. Since the maximum principal stress affects on the alveolar bone can influence deeply on the longevity of the implants when comparing the magnitude of the maximum principal stress double thread had least amount of stress. This shows that the double thread screw gave best result. Conclusion: In conclusion, double, and triple thread screws were found to be more effective on distribution of the stress than the single thread screws. But, increasing in the thread inclination angle such as triple thread screw relate on the magnitude of the maximum principal stress affecting on the alveolar bone can become problematic. Thus, effective combination of thread number and thread inclination angle can help prolonging the longevity of implant.