• 제목/요약/키워드: general strain theory

검색결과 73건 처리시간 0.021초

Analytical solutions to piezoelectric bimorphs based on improved FSDT beam model

  • Zhou, Yan-Guo;Chen, Yun-Min;Ding, Hao-Jiang
    • Smart Structures and Systems
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    • 제1권3호
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    • pp.309-324
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    • 2005
  • This paper presents an efficient and accurate coupled beam model for piezoelectric bimorphs based on improved first-order shear deformation theory (FSDT). The model combines the equivalent single layer approach for the mechanical displacements and a layerwise modeling for the electric potential. General electric field function is proposed to reasonably approximate the through-the-thickness distribution of the applied and induced electric potentials. Layerwise defined shear correction factor (k) accounting for nonlinear shear strain distribution is introduced into both the shear stress resultant and the electric displacement integration. Analytical solutions for free vibrations and forced response under electromechanical loads are obtained for the simply supported piezoelectric bimorphs with series or parallel arrangement, and the numerical results for various length-to-thickness ratios are compared with the exact two-dimensional piezoelasticity solution. Excellent predictions with low error estimates of local and global responses as well as the modal frequencies are observed.

TIME-DEPENDENT FRACTURE OF ARTICULAR CARTILAGE: PART 1 - THEORY & VALIDATION

  • 문무성
    • 대한의용생체공학회:학술대회논문집
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    • 대한의용생체공학회 1995년도 춘계학술대회
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    • pp.27-33
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    • 1995
  • A time-dependent large deformation fracture theory is developed for application to soft biological tissues. The theory uses the quasilinear viscoelastic theory of Fung, and particularizes it to constitutive assumptions on polyvinyl-chloride (PVC) (Part I) and cartilage (Part II). This constitutive theory is used in a general viscoelastic theory by Christensen and Naghdi and an energy balance to develop an expression for the fracture toughness of the materials. Experimental methods are developed for measuring the required constitutive parameters and fracture data for the materials. Elastic stress and reduced relaxation functions were determined using tensile and shear tests at high loading rates with rise times of 25-30 msec, and test times of 150 sec. The developed method was validated, using an engineering material, PVC to separate the error in the testing method from the inherent variation of the biological tissues. It was found that the the proposed constitutive modeling can predict the nonlinear stress-strain and the time-dependent behavior of the material. As an approximation method, a pseudo-elastic theory using the J-integral concept, assuming that the material is a time-independent large deformation elastic material, was also developed and compared with the time-dependent fracture theory. For PVC. the predicted fracture toughness is $1.2{\pm}0.41$ and $1.5{\pm}0.23\;kN/m$ for the time-dependent theory and the pseudo-elastic theory, respectively. The methods should be of value in quantifying fracture properties of soft biological tissues. In Part II, an application of the developed method to a biological soft tissue was made by using bovine humeral articular cartilage.

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A 3D RVE model with periodic boundary conditions to estimate mechanical properties of composites

  • Taheri-Behrooz, Fathollah;Pourahmadi, Emad
    • Structural Engineering and Mechanics
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    • 제72권6호
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    • pp.713-722
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    • 2019
  • Micromechanics is a technique for the analysis of composites or heterogeneous materials which focuses on the components of the intended structure. Each one of the components can exhibit isotropic behavior, but the microstructure characteristics of the heterogeneous material result in the anisotropic behavior of the structure. In this research, the general mechanical properties of a 3D anisotropic and heterogeneous Representative Volume Element (RVE), have been determined by applying periodic boundary conditions (PBCs), using the Asymptotic Homogenization Theory (AHT) and strain energy. In order to use the homogenization theory and apply the periodic boundary conditions, the ABAQUS scripting interface (ASI) has been used along with the Python programming language. The results have been compared with those of the Homogeneous Boundary Conditions method, which leads to an overestimation of the effective mechanical properties. According to the results, applying homogenous boundary conditions results in a 33% and 13% increase in the shear moduli G23 and G12, respectively. In polymeric composites, the fibers have linear and brittle behavior, while the resin exhibits a non-linear behavior. Therefore, the nonlinear effects of resin on the mechanical properties of the composite material is studied using a user-defined subroutine in Fortran (USDFLD). The non-linear shear stress-strain behavior of unidirectional composite laminates has been obtained. Results indicate that at arbitrary constant stress as 80 MPa in-plane shear modulus, G12, experienced a 47%, 41% and 31% reduction at the fiber volume fraction of 30%, 50% and 70%, compared to the linear assumption. The results of this study are in good agreement with the analytical and experimental results available in the literature.

Buckling analysis of bidirectional FG porous beams in thermal environment under general boundary condition

  • Abdeljalil Meksi;Mohamed Sekkal;Rabbab Bachir Bouiadjra;Samir Benyoucef;Abdelouahed Tounsi
    • Computers and Concrete
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    • 제33권3호
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    • pp.275-284
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    • 2024
  • This work presents a comprehensive investigation of buckling behavior of bidirectional functionally graded imperfect beams exposed to several thermal loading with general boundary conditions. The nonlinear governing equations are derived based on 2D shear deformation theory together with Von Karman strain-displacement relation. The beams are composed of two different materials. Its properties are porosity-dependent and are continuously distributed over the length and thickness of the beams following a defined law. The resulting equations are solved analytically in order to determine the thermal buckling characteristics of BDFG porous beams. The precision of the current solution and its accuracy have been proven by comparison with works previously published. Numerical examples are presented to explore the effects of the thermal loading, the elastic foundation parameters, the porosity distribution, the grading indexes and others factors on the nonlinear thermal buckling of bidirectional FG beam rested on elastic foundation.

랜덤포레스트 머신러닝 기법을 활용한 전통적 비행이론기반 청소년 온·오프라인 비행 예측요인 연구 (A Study on the Classic Theory-Driven Predictors of Adolescent Online and Offline Delinquency using the Random Forest Machine Learning Algorithm)

  • 이택호;김선영;한윤선
    • 한국심리학회지 : 문화 및 사회문제
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    • 제28권4호
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    • pp.661-690
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    • 2022
  • 본 연구에서는 청소년 비행이 지속적인 사회문제로 대두됨에 따라 청소년의 온·오프라인 비행을 예측하는 주요 요인들을 탐색하고 전통적 비행이론(사회학습이론, 일반긴장이론, 사회통제이론, 일상활동이론, 낙인이론)의 적용 가능성을 살펴보았다. 분석에 활용된 데이터는 한국아동·청소년패널조사 2010(KCYPS 2010)의 초1, 초4, 중1 패널 6차년도 데이터이다(N=4,137). 예측 모형을 구축함에 있어 전통적 통계기반의 회귀모형 대신 랜덤포레스트 머신러닝 기법을 활용함으로써 예측 성능 향상과 더불어 보다 많은 예측요인의 고려 가능성에 초점을 두었다. 랜덤포레스트 분석 결과, 청소년의 온·오프라인 비행을 설명하는 데에 전통적인 비행이론은 여전히 유효하였으며, 온라인 비행은 주로 개인적 요인(일상활동이론, 낙인이론)과, 오프라인 비행은 사회적 요인(사회학습이론, 사회통제이론)과 관련이 있는 것으로 나타났다. 또한 일반긴장 이론은 온라인 비행과 오프라인 비행 모두를 예측하는 중요한 이론적 기반임을 확인할 수 있었다. 본 연구는 머신러닝 기법을 통해 청소년 비행에 영향을 주는 주요 요인을 도출하고, 기존 비행이론의 활용 가능성도 함께 고려했다는 점에서 의의가 있으며, 청소년 온·오프라인 비행에 대한 예방 및 개입 방향성을 재고하는 기반을 제공할 것이라 기대된다.

A total strain-based hysteretic material model for reinforced concrete structures: theory and verifications

  • Yun, Gun-Jin;Harmon, Thomas G.;Dyke, Shirley J.;So, Migeum
    • Computers and Concrete
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    • 제5권3호
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    • pp.217-241
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    • 2008
  • In this paper, a total strain-based hysteretic material model based on MCFT is proposed for non-linear finite element analysis of reinforced concrete structures. Although many concrete models have been proposed for simulating behavior of structures under cyclic loading conditions, accurate simulations remain challenging due to uncertainties in materials, pitfalls of crude assumptions of existing models, and limited understanding of failure mechanisms. The proposed model is equipped with a fully generalized hysteresis rule and is formulated for 2D plane stress non-linear finite element analysis. The proposed model has been formulated in a tangent stiffness-based finite element scheme so that it can be used for most general finite element analysis packages. Moreover, it eliminates the need to check that tensile stresses can be transmitted across a crack. The tension stiffening model is a function of the bar orientation and any orientation can be accommodated. The proposed model has been verified with a series of experimental results of 2D RC planar panels. This study also demonstrates how parameters of the proposed model associated with cyclic damage modeling influences the pinched cyclic shear behavior.

슬리브드 폴리머 발사체의 충격시 벌징 거동 패턴에 미치는 코어 재료의 영향 (Influences of Core Materials during Impact The Bulging Behavior of Sleeved Polymer Projectiles)

  • 신형섭;박성택;정윤철
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회A
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    • pp.198-203
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    • 2008
  • In the present study, the deformation behavior of both of metal and polymer combination on impact was investigated. They have showed a different deformation behavior when the co-axially combined projectile was impacted on rigid target. The theory according to Taylor's simplified approach assumes an ideally rigid-plastic material model exhibiting rate-independent behavior and simple one-dimensional wave propagation concepts that neglect radial inertia. In the case of impact with polymeric materials, elastic strain in general are not negligible compared with plastic strain; and the rigid-plastic material behavior assumed by Taylor for metallic materials cannot be applied any more. Since, the sleeve and the core materials have widely different mechanical properties, they will produce a significant difference of mechanical impedance with each other. Therefore these impedance mismatch influences on the deformation behavior sleeved polymer projectile on impact. As a result, sleeved projectiles will generate a very interesting impact behavior. Therefore, the according to sleeved metal material and core polymer material can see expected. The objective of this study was to investigate the factors which influences on deformation behavior pattern of sleeve materials surface.

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비대칭 층을 가지는 인공재료모델을 이용한 일반 평판구조물의 위상최적화 (Topology Optimization of General Plate Structures by Using Unsymmetric Layered Artificial Material Model)

  • 박경임;이상진
    • 한국공간구조학회논문집
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    • 제7권5호
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    • pp.67-74
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    • 2007
  • 본 연구에서는 판 구조물의 최적위상을 찾기 위한 비대칭 층을 가지는 인공재료모델을 이용한 위상최적화기법을 제시하였다. 구절점 판요소를 형성하기 위하여 판의 일차전단변형을 고려하는 Reissner-Mindlin 판이론이 도입되었다. 최소화하고자 하는 변형에너지를 목적함수로 하고 구조물의 초기부피를 제약함수로 채택하였다 인공재료모델에 존재하는 다공성물질의 구멍의 크기를 조절하기 위하여 최적정기준법을 바탕으로 하는 크기조절알고리듬을 도입하였다. 제시된 위상최적화 기법의 성능을 조사하기 위하여 수치예제를 수행하였다. 수치해석결과로부터 제시된 위상최적화기법은 판구조물의 최적위상을 도출하는데 매우 효과적인 것으로 나타났다. 특히 제시된 비대칭 층모델은 판구조물의 보강재를 보다 실제적으로 도출하는데 유용할 것으로 나타났다.

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마찰교반용접(FSW) 된 알루미늄 합금(AA6111-T4, AA5083-H18) 및 DP강 판재의 인장 실험시 파단 현상 해석 (Analysis of Failure Phenomena in Uni-axial Tension Tests of Friction Stir Welded AA6111-T4, AA5083-H18 and DP-Steel)

  • 박상준;엄기문;마닝;안강환;정경환;;;;정관수
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2007년도 춘계학술대회 논문집
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    • pp.258-261
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    • 2007
  • Failure phenomena in uni-axial tension test were experimentally and numerically investigated for AA6111-T4, AA5083-H18 and DP-Steel, which were friction-stir welded with the same and different thicknesses. Forming limit diagram(FLD) was measured using hemispherical dome stretching tests for base materials and also predicted by Hill's bifurcation and M-K theories for welded areas. Finite element simulations well predicted hardening behaviors, failure locations as well as failure patterns for the uni-axial tension tests especially utilizing very fine meshes and FLD along with stress softening.

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마찰교반용접(FSW) 된 알루미늄 합금(AA6111-T4, AA5083-H18) 및 DP강 판재의 인장 실험시 파단 현상 해석 (Analysis of Failure Phenomena in Uni-axial Tension Tests of Friction Stir Welded AA6111-T4, AA5083-H18 and DP-Steel)

  • 박상준;엄기문;마닝;안강환;정경환;;;;정관수
    • 소성∙가공
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    • 제16권4호
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    • pp.304-308
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    • 2007
  • Failure phenomena in uni-axial tension test were experimentally and numerically investigated for AA6111-T4, AA5083-H18 and DP-Steel, which were friction-stir welded with the same and different thicknesses. Forming limit diagram(FLD) was measured using hemispherical dome stretching tests for base materials and also predicted by Hill's bifurcation and M-K theories for welded areas. Finite element simulations well predicted hardening behaviors, failure locations as well as failure patterns for the uni-axial tension tests especially utilizing very fine meshes and FLD along with stress softening.