• 제목/요약/키워드: general strain theory

검색결과 73건 처리시간 0.026초

Analysis of cavity expansion based on general strength criterion and energy theory

  • Chao Li;Meng-meng Lu;Bin Zhu;Chao Liu;Guo-Yao Li;Pin-Qiang Mo
    • Geomechanics and Engineering
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    • 제37권1호
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    • pp.9-19
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    • 2024
  • This study presents an energy analysis for large-strain cavity expansion problem based on the general strength criterion and energy theory. This study focuses on the energy dissipation problem during the cavity expansion process, dividing the soil mass around the cavity into an elastic region and a plastic region. Assuming compliance with the small deformation theory in the elastic region and the large deformation theory in the plastic region, combined with the general strength criterion of soil mass and energy theory, the energy dissipation solution for cavity expansion problem is derived. Firstly, from an energy perspective, the process of cavity expansion in soil mass is described as an energy conversion process. The energy dissipation mechanism is introduced into the traditional analysis of cavity expansion, and a general analytical solution for cavity expansion related to energy is derived. Subsequently, based on this general analytical solution of cavity expansion, the influence of different strength criterion, large-strain, expansion radius, cavity shape and characteristics of soil mass on the stress distribution, displacement field and energy evolution around the cavity is studied. Finally, the effectiveness and reliability of theoretical solution is verified by comparing the results of typical pressure-expansion curves with existing literature algorithms. The results indicate that different strength criterion have a relatively small impact on the displacement and strain field around the cavity, but a significant impact on the stress distribution and energy evolution around the cavity.

청소년 지위비행에 관한 분석적 연구 : 청소년 비행이론을 중심으로 (The Analytic Study of Adolescents' Status Offenses : Based on Juvenile Delinquency Theory)

  • 이완희;유완석
    • 시큐리티연구
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    • 제39호
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    • pp.217-239
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    • 2014
  • 이 연구의 목적은 사회유대이론, 일반긴장이론, 사회학습이론에서 제안된 변인들을 사용하여 청소년 지위비행의 원인을 밝히는 데 있다. 이를 위해 한국청소년정책연구원에서 조사한 아동 청소년패널 3차년도 중3학년 2,337명의 표본자료를 사용하였다. 세 가지 이론에서 추출된 각 각의 독립변인들이 단독으로 청소년 지위비행을 어느 정도 설명하는지를 살펴 본 다중회귀분석에서 사회학습이론의 두 가지 변인들의 설명력이 가장 높았으며, 그 다음으로 사회유대이론이고 일반긴장이론의 변인들은 청소년 지위비행을 거의 설명하지 못하는 것으로 나타났다. 특히 회귀방정식에서 투입된 사회학습이론의 변인들은 일반긴장 이론과 사회유대이론에서 추출된 독립변인의 수보다 3.5배-5.5배 부족함에도 불구하고 설명력은 가장 뛰어난 것으로 나타났다. 분석에 사용된 이론들은 청소년 비행 및 범죄의 원인을 잘 설명하는 이론으로 알려져 있지만, 이전 까지는 각 이론들이 단독으로 그 영향력을 파악하는 수준에 그쳤다. 그러나 이론의 상대적 영향력을 파악하기 위해서는 각 이론들을 동시에 적용하여 경험적으로 검증할 필요가 있는데, 본 연구는 이런 필요성에 부합한 연구를 수행했다는 점에서 중요한 의미를 가진다.

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변형 이론을 기반으로한 곡면의 최적 근사 전개 (Optimal Approximated Development of General Curved Plates Based on Deformation Theory)

  • 유철호;신종계
    • 한국CDE학회논문집
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    • 제7권3호
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    • pp.190-201
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    • 2002
  • Surfaces of many engineering structures, specially, those of ships and airplanes are commonly fabricated as doubly curved shapes as well as singly curved surfaces to fulfill functional requirements. Given a three dimensional design surface, the first step in the fabrication process is unfolding or planar development of this surfaces into a planar shape so that the manufacturer can determine the initial shape of the flat plate. Also a good planar development enables the manufacturer to estimate the strain distribution required to form the design shape. In this paper, an algorithm for optimal approximated development of a general curved surface, including both singly and doubly curved surface is developed in the sense that the strain energy from its planar development to the design surface is minimized, subjected to some constraints. The development process is formulated into a constrained nonlinear programming problem, which is on basis of deformation theory and finite element. Constraints are subjected to characteristics of the fabrication method. Some examples on typical surfaces and the practical ship surfaces show the effectiveness of this algorithm.

Design charts for consolidation settlement of marine clays using finite strain consolidation theory

  • Jun, Sang-Hyun;Lee, Jong-Ho;Park, Byung-Soo;Kwon, Hyuk-Jae
    • Geomechanics and Engineering
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    • 제24권3호
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    • pp.295-305
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    • 2021
  • In this study, design charts for estimating consolidation settlement are proposed according to finite strain consolidation theory using a nonlinear constitutive relationship equation. Results of parametric sensitivity analysis shows that the final settlement, initial height, and initial void ratio exerted the greatest effect, and the coefficients of the void ratio-effective-stress. Proposed design charts were analyzed for three regions using a representative constitutive relationship equation that enables major dredged-reclaimed construction sites in Korea. The regional design charts can be calculated accurately for the final settlement because it is applied directly to the numerical analysis results, except for reading errors. A general design chart applicable to all marine clays is proposed through correlation analysis of the main parameters. A final self-weight consolidation settlement with various initial void ratios and initial height conditions should be estimated easily using the general design chart and constitutive relationship. The estimated final settlement using the general design chart is similar to the results of numerical analysis obtained using finite strain consolidation theory. Under an overburden pressure condition, design charts for estimating consolidation settlement are proposed for three regions in Korea.

Static analysis of 2D-FG nonlocal porous tube using gradient strain theory and based on the first and higher-order beam theory

  • Xiaozhong Zhang;Jianfeng Li;Yan Cui;Mostafa Habibi;H. Elhosiny Ali;Ibrahim Albaijan;Tayebeh Mahmoudi
    • Steel and Composite Structures
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    • 제49권3호
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    • pp.293-306
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    • 2023
  • This article focuses on the study of the buckling behavior of two-dimensional functionally graded (2D-FG) nanosize tubes, including porosity, based on the first shear deformation and higher-order theory of the tube. The nano-scale tube is simulated using the nonlocal gradient strain theory, and the general equations and boundary conditions are derived using Hamilton's principle for the Zhang-Fu's tube model (as a higher-order theory) and Timoshenko beam theory. Finally, the derived equations are solved using a numerical method for both simply-supported and clamped boundary conditions. A parametric study is performed to investigate the effects of different parameters, such as axial and radial FG power indices, porosity parameter, and nonlocal gradient strain parameters, on the buckling behavior of the bi-dimensional functionally graded porous tube. Keywords: Nonlocal strain gradient theory; buckling; Zhang-Fu's tube model; Timoshenko theory; Two-dimensional functionally graded materials; Nanotubes; Higher-order theory.

Buckling of porosity-dependent bi-directional FG nanotube using numerical method

  • Wang, Haiquan;Zandi, Yousef;Gholizadeh, Morteza;Issakhov, Alibek
    • Advances in nano research
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    • 제10권5호
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    • pp.493-507
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    • 2021
  • This article focused on studying the buckling behavior of two-dimensional functionally graded (2D-FG) nanosize tubes, including porosity based on first shear deformation and higher-order theory of tube. The nano-scale tube is simulated based on the nonlocal gradient strain theory, and the general equations and boundary conditions are derived using Hamilton's principle for the Zhang-Fu's tube model (as higher-order theory) and Timoshenko beam theory. Finally, the derived equations are solved using a numerical method for both simply-supported and clamped boundary conditions. The parametric study is performed to study the effects of different parameters such as axial and radial FG power indexes, porosity parameter, nonlocal gradient strain parameters on the buckling behavior of di-dimensional functionally graded porous tube.

일반적인 곡선좌표계에 기초한 복합재료 적층쉘의 유한요소 해석 (Finite Element of Composite Shells Based on General Curvilinear Coordinates)

  • 노희열;조맹효
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2000년도 추계학술발표대회 논문집
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    • pp.173-176
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    • 2000
  • Finite element model based on the Naghdi's shell theory in the general tensor-based form is formulated in the present study. Partial mixed variational functional for assumed strain is formulated in order to avoid the severe locking troubles known as transverse shear and membrane locking. The proposed assumed strain element in general tensor Naghdi's shell model provides very accurate solutions for thin shells in benchmark problems. In additions, linear elastic constitutive equations are given in the general curvilinear coordinate system including anisotropic layered structures. Thus laminated composited shell structures are easily analyzed in the present formulation.

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Size dependent torsional vibration of a rotationally restrained circular FG nanorod via strain gradient nonlocal elasticity

  • Busra Uzun;Omer Civalek;M. Ozgur Yayli
    • Advances in nano research
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    • 제16권2호
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    • pp.175-186
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    • 2024
  • Dynamical behaviors of one-dimensional (1D) nano-sized structures are of great importance in nanotechnology applications. Therefore, the torsional dynamic response of functionally graded nanorods which could be used to model the nano electromechanical systems or micro electromechanical systems with torsional motion about the center of twist is examined based on the theory of strain gradient nonlocal elasticity in this work. The mathematical background is constructed based on both strain gradient theory and Eringen's nonlocal elasticity theory. The equation of motions and boundary conditions of radially functionally graded nanorods are derived using Hamilton's principle and then transformed into the eigenvalue analysis by using Fourier sine series. A general coefficient matrix is obtained to assemble the Stokes' transformation. The case of a restrained functionally graded nanorod embedded in two elastic springs against torsional rotation is then deeply investigated. The effect of changing the functionally graded index, the stiffness of elastic boundary conditions, the length scale parameter and nonlocal parameter are investigated in detail.

평면 변형 하에서의 비정상 이상 공정 이론 (Non-steady Ideal Forming in Plane Strain)

  • 정관수;이원오
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2002년도 춘계학술대회 논문집
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    • pp.66-69
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    • 2002
  • In the ideal forming theory(1), which has been deviously developed as a direct method for optimizing forming process, material elements are required to deform following the minimum plastic work path (or the proportional true strain path). Besides the general theory(2,3), specific ideal forming theories have been developed for membrane sheet forming(4) as well as two-dimensional steady bulk forming(5-7). In this work, the ideal forming theory was successfully applied for non-steady bulk forming under the plane strain condition. Here, the shape change complying with the minimum plastic work path, was effectively described by developing a numerical code based on the characteristic method. Numerical results obtained for a specific industrial part also include the optimum pre-forming shape and its evolving shape change to the final shape as well as the boundary traction history.

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Intelligent computer modeling of large amplitude behavior of FG inhomogeneous nanotubes

  • Wu, Xiongwei;Fang, Ting
    • Advances in nano research
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    • 제12권6호
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    • pp.617-627
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    • 2022
  • In the current study, the nonlinear impact of the Von-Kármán theory on the vibrational response of nonhomogeneous structures of functionally graded (FG) nano-scale tubes is investigated according to the nonlocal theory of strain gradient theory as well as high-order Reddy beam theory. The inhomogeneous distributions of temperature-dependent material consist of ceramic and metal phases in the radial direction of the tube structure, in which the thermal stresses are applied due to the temperature change in the thickness of the pipe structure. The general motion equations are derived based on the Hamilton principle, and eventually, the acquired equations are solved and modeled by the Meshless approach as well as a computer simulation via intelligent mathematical methodology. The attained results are helpful to dissect the stability of the MEMS and NEMS.