• 제목/요약/키워드: Elastic-Plasticity

검색결과 389건 처리시간 0.023초

Dynamic analysis of ACTIVE MOUNT using viscoelastic-elastoplastic material model

  • Park, Taeyun;Jung, Wonuk
    • International Journal of Reliability and Applications
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    • 제17권2호
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    • pp.137-147
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    • 2016
  • The engine mount of a car subjected to a pre-load related to the weight of the engine, and acts to insulate the vibration coming from the engine by moving on large or small displacement depending on the driving condition of the car. The vibration insulation of the engine mount is an effect obtained by dissipating the mechanical energy into heat by the viscosity characteristic of the rubber and the microscopic behavior of the additive carbon black. Therefore, dynamic stiffness from the intrinsic properties of rubber filled with carbon black at the design stage is an important design consideration. In this paper, we introduced a hyper-elastic, visco-elastic and elasto-plastic model to predict the dynamic characteristics of rubber, and developed a fitting program to determine the material model parameters using MATLAB. The dynamic characteristics analysis of the rubber insulator of the ACTIVE MOUNT was carried out by using MSC.MARC nonlinear structural analysis software, which provides the dynamic characteristics material model. The analysis results were compared with the dynamic characteristics test results of the rubber insulator, which is one of the active mount components, and the analysis results were confirmed to be valid.

Seismic behavior and strength of L-shaped steel reinforced concrete column-concrete beam planar and spatial joints

  • Chen, Zongping;Xu, Deyi;Xu, Jinjun;Wang, Ni
    • Steel and Composite Structures
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    • 제39권3호
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    • pp.337-352
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    • 2021
  • The study presented experimental and numerical investigation on the seismic performance of steel reinforced concrete (SRC) L-shaped column- reinforced concrete (RC) beam joints. Various parameters described as steel configuration form, axial compressive ratio, loading angle, and the existence of slab were examined through 4 planar joints and 7 spatial joints. The characteristics of the load-displacement response included the bearing capacity, ductility, story drift ratio, energy-dissipating capacity, and stiffness degradation were analyzed. The results showed that shear failure and flexural failure in the beam tip were observed for planar joints and spatial joint, respectively. And RC joint with slab failed with the plastic hinge in the slab and bottom of the beam. The results indicated that hysteretic curves of spatial joints with solid-web steel were plumper than those with hollow-web specimens. The capacity of planar joints was higher than that of space joints, while the opposite was true for energy-dissipation capacity and ductility. The high compression ratio contributed to the increase in capacity and initial stiffness of the joint. The elastic and elastic-plastic story deformation capacity of L-shaped column frame joints satisfied the code requirement. A design formula of joint shear resistance based on the superposition theory and equilibrium plasticity truss model was proposed for engineering application.

고분자 필름 및 구리선 이종 물성을 고려한 EV모터용 헤어핀 성형 공정 해석 (Forming Simulation of EV Motor Hairpin by Implementing Mechanical Properties of Polymer Coated Copper Wire)

  • 김동춘;임윤재;백민광;이명규;오인석
    • 소성∙가공
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    • 제32권3호
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    • pp.122-128
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    • 2023
  • As electric vehicles (EV) have increasingly replaced the conventional vehicles with internal combustion engines (ICE), most of automotive makers are actively devoting to the technology development of EV parts. Accordingly, the manufacturing process for power source has been also shifting from engine/transmission to EV motor/reducer system. However, lack of experience in developing the EV motor still remains as a technical challenge. In this paper, we employed the forming simulation based on finite element modeling to solve this problem. In particular, in order to increase the accuracy of the forming simulation, we introduced the elastic-plastic constitutive model parameters for polymer-copper hybrid wire by investigating the individual strain-stress curves, and elastic modulus of polymer and copper. Then, the reliability of modeling procedure was confirmed by comparing the simulated results with experiments. Finally, the identified mechanical properties and finite element modeling were applied to a hairpin forming process, which involves multiple deformation paths such as bending, pressing, widening, and twisting. The proposed numerical approach can replace common experience or experiment based trials by reducing production time and cost in the future.

Implicit 수치적분 방법을 이용한 조립토에 관한 구성방정식의 수행 (Implicit Numerical Integration of Two-surface Plasticity Model for Coarse-grained Soils)

  • 최창호
    • 한국지반공학회논문집
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    • 제22권9호
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    • pp.45-59
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    • 2006
  • 탄소성 구성방정식은 주로 미분방적식(rate equation)으로 이루어져 있기 때문에 유한요소법 등을 이용한 지반구조물 해석시 미분방정식들에 대한 수치적분을 수행할 수 있는 방법이 필요하다. 구조물의 거동을 해석할시 미분방정식들을 위한 적분방법은 해석결과의 정확성과 유한요소법 모델링의 안전성에 큰 영향을 미치고 있다. 본 논문에서는 최근에 개발되어 사용되고 있는 흙에 관한 구성모델인 "Two-surface soil plasticity model (Manzari and Dafalias 1997)"을 Implicit return-mapping 수치적분방법을 이용하여 실행하는 과정을 제시한다. 본 연구에서 사용된 수치적분방법은 Closest-Point-Projection Method(CPPM) 방법으로 탄성 예측자-소성 교정자(elastic predictor-plastic corrector) 개념을 Implicit Backward Euler방법으로 체계화 시킨 알고리듬이다. 본 연구에서 수행한 "Two-surface soil plasticity model"은 조립토의 비선형거동을 해석하며, Bounding surface 개념 및 비선형 등방경화와 이동경화법칙을 사용하는 모델이다. 본 연구는 CPPM 방법이 정확하고 안정되며 유용한 수치적분을 수행할 수 있는 알고리듬이라는 것을 제시한다. 또한, CPPM 알고리듬은 구성방정식의 해를 반복적으로 해석하는 동안 "Consistent tangent operator $d{\sigma}/d{\varepsilon}$"를 제공하므로, 비선형 유한요소 해석이 2차(quadratic convergence rate)의 수렴 조건을 만족하는데 기여한다는 것을 보여준다.

박판재의 스프링백 해석(I)-잔류 변형율에 근거한 해석모델 (Analysis of Springback of Sheet Metal(I): Analytical Model Based on the Residual Differential Strain)

  • 이재호;김동우;손성만;이문용;문영훈
    • 소성∙가공
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    • 제16권7호
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    • pp.509-515
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    • 2007
  • As the springback of sheet metal during unloading may cause deviation from a desired shape, accurate prediction of springback is essential for the design of sheet stamping operations. When considering the case of a sheet metal being bent to radius $\rho$ that is such that the maximum stress induced exceed the elastic limit of the material, plastic strain in the outer surface will occur and the material will take a permanent set: but since, on removing the bending moment, the recovery of the material is not uniform across the thickness, springback will occur and the radius $\rho$ will not be maintained. Furthermore, when a tensile load being applied to each end of specimen, the tensile stress due to bending is increased and the compressive stress is decreased or cancelled and eventually the whole specimen may be in varying degree of tension. On the removal of the applied load the specimen loses its elastic strain by contracting around the contour of the block, the radius $\rho$ will be determined by the residual differential strain. Therefore in this study the springback is analytically estimated by the residual differential strains between upper and lower surfaces of greatest radius after elastic recovery, and a springback model based on the bending moment is also analytically derived for comparison purpose.

파일-업 재료에 대한 나노 압입 시험기의 경도 측정값 교정 (Correction of the hardness measurement for pile-up materials with a nano indentation machine)

  • 박문식
    • 한국산학기술학회논문지
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    • 제17권12호
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    • pp.98-106
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    • 2016
  • 본 연구는 공업용 응용이 많은 알루미늄 또는 구리와 같은 재료를 나노 압입 시험기에 의하여 탄생계수 및 경도 값을 얻을 때 파일-업(pile-up) 현상이 생기는 경우 계측 값을 교정할 수 있는 방법에 대해 다룬다. 나노 압입 시험기에 의해 얻어지는 탄성계수와 경도의 측정치는 접촉면적의 피팅 (fitting) 식에 의존하게 되는데 이는 오로지 싱크-인(sink-in) 재료에만 유효하다. 그러므로 싱크-인이 아닌 파일-업인 많은 무른 공학재료들에 있어서는 그 접촉면적이 실제보다 적게 계산되고 따라서 탄성계수와 경도는 높게 계산된다. 본 연구에서는 이미 탄생계수를 알고 있는 파일-업 거동을 보이는 재료의 경우에 경도 값을 교정하는 방법을 제안한다. 이 방법을 경금속인 Al 6061 T6와 C 12200에 적용하기 위해 인장시험, 나노 압입시험, 압입자국 측정, 그리고 유한요소해석을 수행하였다. 압입 자국 측정과 유한요소해석을 흥하여 두 재료 모두 파일-업 거동이 발생하는 것을 알 수 있었다. 제안한 교정 방법은 싱크-인 접촉면적 값을 파일-업 접촉면적 값으로 늘려 주었고 경도 측정값을 낮추어 주었다. 교정된 경도 값은 별도의 연구에서 다룬 변형률 구배 소성을 고려한 유한요소해석 결과와 잘 일치하였다.

CPT 결과를 이용한 기초해석 및 설계 : 얕은 기초의 침하량 산정 (Foundation Analysis and Design Using CPT Results : Settlement Estimation of Shallow Foundation)

  • 이준환;박동규
    • 한국지반공학회논문집
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    • 제20권8호
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    • pp.5-14
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    • 2004
  • 얕은기초의 설계에 있어 작용하중에 의한 침하량 산정은 기초의 지지력 산정과 함께 매우 중요한 고려사항이다. 상부구조물에 의한 설계하중이 지표면의 기초지반에 직접 작용하는 얕은기초의 경우, 기초지반의 거동은 일반적으로 완전 선형탕성도 아니며, 파괴에 도달한 소성상태도 아닌 비선형 응력-변형률의 거동을 보이게 된다. 이러한 지반의 비선형성은 침하량 산정에 있어 매우 중요한 요소로 간주될 수 있으나, 실제 설계에 있어서는 대표탄성계수의 적용에 의한 간편법이 보편적으로 적용되고 있다. 일반적으로 사질토지반에 놓인 얕은기초 침하량 산정은 표준관입시험(SPT)나 콘관입시헙(CPT) 등의 현장시험 결과를 토대로 이루어진다. 본 연구에서는 비선형 유한요소해석에 의한 얕은기초 하중-침하량 분석을 수행하였으며, 기존의 탄성론에 근거한 침하량 산정법과의 비교분석 또한 수행하였다. 이와 같은 해석을 통하여 콘관입시헙(CPT) 결과에 근거한 새로운 얕은기초 침하량 산정법 및 얕은기초 설계법을 제안하였다.

The rock fragmentation mechanism and plastic energy dissipation analysis of rock indentation

  • Zhu, Xiaohua;Liu, Weiji
    • Geomechanics and Engineering
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    • 제16권2호
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    • pp.195-204
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    • 2018
  • Based on theories of rock mechanics, rock fragmentation, mechanics of elasto-plasticity, and energy dissipation etc., a method is presented for evaluating the rock fragmentation efficiency by using plastic energy dissipation ratio as an index. Using the presented method, the fragmentation efficiency of rocks with different strengths (corresponding to soft, intermediately hard and hard ones) under indentation is analyzed and compared. The theoretical and numerical simulation analyses are then combined with experimental results to systematically reveal the fragmentation mechanism of rocks under indentation of indenter. The results indicate that the fragmentation efficiency of rocks is higher when the plastic energy dissipation ratio is lower, and hence the drilling efficiency is higher. For the rocks with higher hardness and brittleness, the plastic energy dissipation ratio of the rocks at crush is lower. For rocks with lower hardness and brittleness (such as sandstone), most of the work done by the indenter to the rocks is transferred to the elastic and plastic energy of the rocks. However, most of such work is transferred to the elastic energy when the hardness and the brittleness of the rocks are higher. The plastic deformation is small and little energy is dissipated for brittle crush, and the elastic energy is mainly transferred to the kinetic energy of the rock fragment. The plastic energy ratio is proved to produce more accurate assessment on the fragmentation efficiency of rocks, and the presented method can provide a theoretical basis for the optimization of drill bit and selection of well drilling as well as for the selection of the rock fragmentation ways.

초기 처짐 영향을 고려한 알루미늄 합금 사각형 판의 좌굴 후 거동 (Post-buckling Behaviour of Aluminium Alloys Rectangular Plate Considering the Initial Deflection Effect)

  • 오영철;강병모;고재용
    • 해양환경안전학회지
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    • 제20권6호
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    • pp.738-745
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    • 2014
  • 본 논문에서는 탄소성 영역 내 패치 로딩 크기에 따른 알루미늄 합금 사각형 판의 초기 처짐 영향을 수치해석방법으로 이용한 탄성 및 탄소성 대변형 시리즈 해석을 수행하였다. 주변 지지조건은 단순지지로 가정하고 초기 처짐 크기(w/t), 종횡비(a/b), 세장비(b/t)를 고려하여 알루미늄 합금 A6082-T6 사각형 판의 임계 탄성 좌굴하중과 좌굴 후 거동을 검토하였다. 탄성 및 탄소성 대변형 시리즈 해석은 상용프로그램을 사용하였다. 초기 처짐 크기가 작을 경우 하중증가와 함께 면내 강성이 처음부터 감소하며 크기가 커질수록 훨씬 두드러지게 발생한다. 종횡비가 커질수록 초기항복강도는 점차 감소하며 판 두께가 두꺼울수록 패치 로딩 크기(l/b) 0.5 이후 초기 항복강도 감소비율은 얇은 두께보다 더 크게 발생한다.

Bree's interaction diagram of beams with considering creep and ductile damage

  • Nayebi, A.
    • Structural Engineering and Mechanics
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    • 제30권6호
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    • pp.665-678
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    • 2008
  • The beams components subjected to the loading such as axial, bending and cyclic thermal loads were studied in this research. The used constitutive equations are those of elasto-plasticity coupled to ductile and/or creep damage. The nonlinear kinematic hardening behavior was considered in elastoplasticity modeling. The unified damage law proposed for ductile failure and fatigue by the author of Sermage et al. (2000) and Kachanov's creep damage model applied to cyclic creep and low cycle fatigue of beams. Based on the results of the analysis, the shakedown limit loads were determined through the calculation of the residual strains developed in the beam analysis. The iterative technique determines the shakedown limit load in an iterative manner by performing a series of full coupled elastic-plastic and continuum damage cyclic loading modeling. The maximum load carrying capacity of the beam can withstand, were determined and imposed on the Bree's interaction diagram. Comparison between the shakedown diagrams generated by or without creep and/or ductile damage for the loading patterns was presented.