• Title/Summary/Keyword: Finite Deformation

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Buckling of plates including effect of shear deformations: a hyperelastic formulation

  • Musa, Idris A.
    • Structural Engineering and Mechanics
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    • v.57 no.6
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    • pp.1107-1124
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    • 2016
  • Consistent finite strain Plate constitutive relations are derived based on a hyperelastic formulation for an isotropic material. Plate equilibrium equations under finite strain are derived following a static kinematic approach. Three Euler angles and four shear angles, based on Timoshenko beam theory, represent the kinematics of the deformations in the plate cross section. The Green deformation tensor has been expressed in term of a deformation tensor associated with the deformation and stretches of an embedded plate element. Buckling formulation includes the in-plane axial deformation prior to buckling and transverse as well as in-plane shear deformations. Numerical results for a simply supported thick plate under uni-axial compression force are presented.

Study on the Thermal Deformation Characteristics of the Automotive Diesel Engine Piston (자동차용 디젤엔진 피스톤의 열변형 특성에 관한 연구)

  • 이교승;이진호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.1
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    • pp.162-173
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    • 1997
  • A 3-dimensional finite element model was developed for the analysis of the automotive diesel engine piston. The model, which consists of a full piston to accomodate the eccentric bowl in the piston crown, is used to calculate steady state operating temperature, thermal stress and thermal deformation of the piston. Roundness measurement tests, which are new approaches to the analysis of piston abrasion and deformation, were done for the comparision of two states of a piston-before and after operation. Numerical prediction shows good agreement with roundness measurement test results.

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A method of calculating strain state and forming severity analysis for axisymmetric sheet formed parts. (축대칭 프레스가공 제품의 변형률 예측기술과 변형여유 해석에의 적용)

  • 박기철;남재복;최원섭
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1994.06a
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    • pp.173-184
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    • 1994
  • A method of obtaining deformation severity of axisymmetric shape deep-drawn products was developed. Strain states of products produced by single or multi-stage drawing were predicted by using finite element analysis. This method used minimization of potential energy between the known shape of final product and the unknown in initial blank. And that was done numerically by nonlinear finite element method. Deformation theory of plasticity was used for practical purposes. From predicted strain states of drawn parts, deformation severity was found by using forming limit diagrams.

Residual Stress Analysis of Rot Rolled Strip in Coiling Process (권취 공정 중 열연 강판의 잔류 응력 해석)

  • 구진모;김홍준;이재곤;황상무
    • Transactions of Materials Processing
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    • v.12 no.4
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    • pp.302-307
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    • 2003
  • Hot rolled strip is cooled by air and water in Run-Out-Table. In this process, phase transformation and shape deformation occurs due to temperature drop. Because of un-ideal cooling condition of ROT, irregular shape deformation and phase transformation arise in the strip. which affect the strip property and lead to the residual stress of strip. And these exert effects on the following processes, coiling process, coil cooling process, and re-coiling process. Through these processes, the residual stress becomes higher and severe. For the prediction of residual stress distribution and shape deformation of final product, Finite element(FE) based model was used. It consists of non-steady state heat transfer analysis, elasto-plastic analysis. thermodynamic analysis and phase transformation kinetics. Successive FEM simulation were applied from ROT process to coil cooling process. In each process simulation, previous process simulation results were used for the next process simulation. The simulation results were matched well with the experimental results.

Computational modelling for description of rubber-like materials with permanent deformation under cyclic loading

  • Guo, Z.Q.;Sluys, L.J.
    • Interaction and multiscale mechanics
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    • v.1 no.3
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    • pp.317-328
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    • 2008
  • When carbon-filled rubber specimens are subjected to cyclic loading, they do not return to their initial state after loading and subsequent unloading, but exhibit a residual strain or permanent deformation. We propose a specific form of the pseudo-elastic energy function to represent cyclic loading for incompressible, isotropic materials with stress softening and residual strain. The essence of the pseudo-elasticity theory is that material behaviour in the primary loading path is described by a common elastic strain energy function, and in unloading, reloading or secondary unloading paths by a different strain energy function. The switch between strain energy functions is controlled by the incorporation of a damage variable into the strain energy function. An extra term is added to describe the permanent deformation. The finite element implementation of the proposed model is presented in this paper. All parameters in the proposed model and elastic law can be easily estimated based on experimental data. The numerical analyses show that the results are in good agreement with experimental data.

Large deformation finite element analysis for automotive rubber components (자동차용 고무부품에 대한 대변형 유한요소해석)

  • Kim, H. Y.;Choi, C.;Bang, W. J.;Kim, J. S.
    • Journal of the korean Society of Automotive Engineers
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    • v.15 no.1
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    • pp.107-119
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    • 1993
  • The objective of this study is to analyze the static and dynamic characteristics of automotive rubber components by computer simulation. Bush / rectangular type engine mounts and wind shield weather strip are analyzed by using the commercial code ABAQUS and the results are verified by experiments. Large deformation static response is analyzed in order to get the information about the deformation pattern and static stiffness of engine mounts, and about the seperation force of wind shield weather strip from body. The isothermal steady-state dynamic response of components which have been subjected to an initial static pre-load is analyzed for the dynamic stiffness of engine mount rubber components. There are good agreements between simulation and experiments. So it is possible to apply the computer simulation to the design of automotive rubber components.

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Analysis of Plastic Deformation Behavior during Groove pressing (Groove Pressing 공정을 통한 소성 변형 거동 연구)

  • Yoon, S.C.;Krishnaiah, A.;Chakkingal, U.;Kim, H.S.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2008.05a
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    • pp.425-426
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    • 2008
  • Elasto-plastic finite element analysis was carried out for analyzing the severe plastic deformation behavior of copper specimens during groove pressing. Deformation localization was studied in terms of strain variations along the longitudinal direction. Plastic strain is lower at the local interface between the shear and the flat regions, which receive very little shear during the pressing cycle. Strain localization is more intensified with the number of rove pressing cycles, although the average strain level increases.

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Process Parameter Effect on Deformation of a V-groove Thin Plate for FCAW and EGW (V-groove 박판의 FCAW와 EGW 공정에 따른 변형에 미치는 공정인자 영향)

  • Han, Juho;Jeon, Jaeseung;Park, Chulsung;Oh, Chongin;Yun, Jinoh;Lee, Jeongsoo
    • Journal of Welding and Joining
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    • v.31 no.1
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    • pp.65-70
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    • 2013
  • Finite element analysis and welding experiments were performed to evaluate deformation aspect for Flux Cored Arc Welding(FCAW) and Electro Gas Welding(EGW). Numerical researches of FCAW and EGW were performed considering the difference of number of welding pass and welding direction to arc flow. To perform the numerical study of FCAW and EGW, number of welding pass and welding direction to arc flow were considered in the finite element model. FCAW process requires multi pass and its welding direction is vertical to welding torch. On the other hand, EGW process requires single pass and its welding direction is parallel to welding torch. The difference of welding direction and heat input was considered in the finite element analysis. In FCAW process, Goldak's double ellipsoidal heat input model was adopted. In the EGW process, Hemi-spherical power density distribution was adopted. In the results of experiment and finite element analysis, angular deformation of FCAW process is larger than that of EGW process.

(A Study on the Thermal Deformation of Circumferential Welding by Thermal Elasto-Plastic Analysis.) (열탄소성 해석에 의한 원주용접 열변형에 대한 연구)

  • 김용섭;정충훈;김백현
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2001.10a
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    • pp.238-246
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    • 2001
  • Residual stresses and thermal deformation of a structure due to welding are very imfortant factors for a weld design. It has been carried therretical analysis to invesitigate influence of heat flux to residual stresses and thermal deformation producted by curcumferential welding. Temperature,stresses and deformationn are obtain as a function of circumferentisl drgree and distance from welding center line. These result can applicate to predict and remove the deformation or residual stresses built up by welding.

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Comparison of Various Shear Deformation Functions for Laminated Composite/Sandwich Plates (복합적층 및 샌드위치판 전단변형함수에 관한 상호비교연구)

  • Park, Won-Tae;Chang, Suk-Yoon;Chun, Kyoung-Sik
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.1 no.3
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    • pp.1-9
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    • 2010
  • In this paper, we used various shear deformation functions for modelling isotropic, symmetric composite and sandwich plates discretized by a mixed finite element method based on the Lagrangian/Hermite interpolation functions. These shear deformation theories uses polynomial, trigonometric, hyperbolic and exponential functions through the thickness direction, allowing for zero transverse shear stresses at the top and bottom surfaces of the plate. All shear deformation functions are compared with other available analytical/3D elasticity solutions, are predicted the reasonable accuracy for investigated problems. Particularly, The present results show that the use of exponential shear deformation theory (Karama et al. 2003; Aydogu 2009) provides very good solutions for composite and sandwich plates.

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