• 제목/요약/키워드: elastic material behavior

검색결과 622건 처리시간 0.117초

An analytical solution for equations and the dynamical behavior of the orthotropic elastic material

  • Ramady, Ahmed;Atia, H.A.;Mahmoud, S.R.
    • Advances in concrete construction
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    • 제11권4호
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    • pp.315-321
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    • 2021
  • In this article, an analytical solution of the dynamical behavior in an orthotropic non-homogeneity elastic material using for elastodynamics equations is investigated. The effects of the magnetic field, the initial stress, and the non-homogeneity on the radial displacement and the corresponding stresses in an orthotropic material are investigated. The analytical solution for the elastodynamic equations has solved regarding displacements. The variation of the stresses, the displacement, and the perturbation magnetic field have shown graphically. Comparisons are made with the previous results in the absence of the magnetic field, the initial stress, and the non-homogeneity. The present study has engineering applications in the fields of geophysical physics, structural elements, plasma physics, and the corresponding measurement techniques of magneto-elasticity.

Effective moment of inertia for rectangular elastoplastic beams

  • Faller, Ronald K.;Rosson, Barry T.
    • Structural Engineering and Mechanics
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    • 제7권1호
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    • pp.95-110
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    • 1999
  • An effective moment of inertia is developed for a rectangular, prismatic elastoplastic beam with elastic, linear-hardening material behavior. The particular solution for a beam with elastic, perfectly plastic material behavior is also presented with applications for beam bending in closed-form. Equations are presented for the direct application of the virtual work method for elastoplastic beams with concentrated and distributed loads. Comparisons are made between the virtual work method deflections and the deflections obtained by using an average effective moment of inertia over two lengths of the beam in the elastoplastic region.

MODEL ON THE DYNAMIC BEHAVIOR OF CONDUCTIVE FERROMAGNETIC MATERIAL WITH NEGLIGIBLE COERCIVITY

  • Kim, Dac-Soo
    • 한국자기학회지
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    • 제5권5호
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    • pp.790-794
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    • 1995
  • Differential equations governing dynamic behavior of toroid-shaped ferro-magnetic material having a small gap of uniform width were derived incorporating Maxwell equations of electromagnetic induction relevent to the system and Newtonian equation of motion. Once the external uniform magnetic field was applied within the material through dc-circuit around the toroid, gap begin to change which lead to the abrupt variation of field in the material and gap according to the differential equations already derived. Characteristics of current and electromotive force with respect to time in the circuit consisting of inductance and resistance in series could be predicted from numerical solutions of these equations. As current in the circuit increasesl, magnetic field in the material increases, thus, the gap starts to shrink due to increased attractive force between gap and elastic restoring force in the material. With an appropriate selection of elastic constant of toroidal ferromagnetic material and design of gap structure it is possible to obtain the specified in both linear and nonlinear magnetic characteristics, such as current dependent and independent inductance.

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Ultimate behavior and ultimate load capacity of steel cable-stayed bridges

  • Choi, D.H.;Yoo, H.;Shin, J.I.;Park, S.I.;Nogami, K.
    • Structural Engineering and Mechanics
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    • 제27권4호
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    • pp.477-499
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    • 2007
  • The main purpose of this paper is to investigate the ultimate behavior of steel cable-stayed bridges with design variables and compare the validity and applicability of computational methods for evaluating ultimate load capacity of cable-stayed bridges. The methods considered in this paper are elastic buckling analysis, inelastic buckling analysis and nonlinear elasto-plastic analysis. Elastic buckling analysis uses a numerical eigenvalue calculation without considering geometric nonlinearities of cable-stayed bridges and the inelastic material behavior of main components. Inelastic buckling analysis uses an iterative eigenvalue calculation to consider inelastic material behavior, but cannot consider geometric nonlinearities of cable-stayed bridges. The tangent modulus concept with the column strength curve prescribed in AASHTO LRFD is used to consider inelastic buckling behavior. Detailed procedures of inelastic buckling analysis are presented and corresponding computer codes were developed. In contrast, nonlinear elasto-plastic analysis uses an incremental-iterative method and can consider both geometric nonlinearities and inelastic material behavior of a cable-stayed bridge. Proprietary software ABAQUS are used and user-subroutines are newly written to update equivalent modulus of cables to consider geometric nonlinearity due to cable sags at each increment step. Ultimate load capacities with the three analyses are evaluated for numerical models of cable-stayed bridges that have center spans of 600 m, 900 m and 1200 m with different girder depths and live load cases. The results show that inelastic buckling analysis is an effective approximation method, as a simple and fast alternative, to obtain ultimate load capacity of long span cable-stayed bridges, whereas elastic buckling analysis greatly overestimates the overall stability of cable-stayed bridges.

Non-equibiaxial residual stress evaluation methodology using simulated indentation behavior and machine learning

  • Seongin Moon;Minjae Choi;Seokmin Hong;Sung-Woo Kim;Minho Yoon
    • Nuclear Engineering and Technology
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    • 제56권4호
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    • pp.1347-1356
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    • 2024
  • Measuring the residual stress in the components in nuclear power plants is crucial to their safety evaluation. The instrumented indentation technique is a minimally invasive approach that can be conveniently used to determine the residual stress in structural materials in service. Because the indentation behavior of a structure with residual stresses is closely related to the elastic-plastic behavior of the indented material, an accurate understanding of the elastic-plastic behavior of the material is essential for evaluation of the residual stresses in the structures. However, due to the analytical problems associated with solving the elastic-plastic behavior, empirical equations with limited applicability have been used. In the present study, the impact of the non-equibiaxial residual stress state on indentation behavior was investigated using finite element analysis. In addition, a new nonequibiaxial residual-stress prediction methodology is proposed using a convolutional neural network, and the performance was validated. A more accurate residual-stress measurement will be possible by applying the proposed residual-stress prediction methodology in the future.

Elastic-plastic fracture of functionally graded circular shafts in torsion

  • Rizov, Victor I.
    • Advances in materials Research
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    • 제5권4호
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    • pp.299-318
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    • 2016
  • Analytical investigations were performed of a longitudinal crack representing a cylindrical surface in circular shafts loaded in torsion with taking into account the non-linear material behavior. Both functionally graded and multilayered shafts were analyzed. It was assumed that the material is functionally graded in radial direction. The mechanical behavior of shafts was modeled by using non-linear constitutive relations between the shear stresses and shear strains. The fracture was studied in terms of the strain energy release rate. Within the framework of small strain approach, the strain energy release rate was derived in a function of the torsion moments in the cross-sections ahead and behind the crack front. The analytical approach developed was applied to study the fracture in a clamped circular shaft. In order to verify the solution derived, the strain energy release rate was determined also by considering the shaft complimentary strain energy. The effects were evaluated of material properties, crack location and material non-linearity on the fracture behavior. The results obtained can be applied for optimization of the shafts structure with respect to the fracture performance. It was shown that the approach developed in the present paper is very useful for studying the longitudinal fracture in circular shafts in torsion with considering the material non-linearity.

용접 계면균열의 크리프-피로 거동에 대한 수치해석적 연구 (A Computational Study on Creep-Fatigue behavior of Weld Interface Crack)

  • 이진상;윤기봉
    • 대한용접접합학회:학술대회논문집
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    • 대한용접접합학회 2000년도 특별강연 및 춘계학술발표대회 개요집
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    • pp.264-266
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    • 2000
  • In this study, analysis of creep-fatigue behavior of low alloy steel weld was performed. An interface was employed along the crack plane to simulate the interface between base metal and weld metal. A trapezoidal waveshapes was loaded cyclically and analysis result was compared with that of monotonic load. The material was assumed as elastic-plastic-secondary creeping material. Because the isotropic hardening plasticity model used in the last study cannot simulate the behavior of material under cyclic load, the linear kinematic hardening plasticity model was used. The behavior of strain field and $C_{t}$ parameter was obtained.d.

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가공전선의 이도거동에서 탄성계수와 선팽창계수의 영향 (The Effects of Elastic Modulus Coefficient and Linear Expansion Coefficient of Overhead Conductor on Sag Behavior)

  • 김병걸;김상수;왕윤찬
    • 한국전기전자재료학회논문지
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    • 제21권10호
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    • pp.954-960
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    • 2008
  • The effects of elastic modulus coefficient and linear expansion coefficient of overhead distribution power line(ACSR $58 mm^2$) on sag behavior in distribution line have been investigated to clarify the difference between specification and experimental level. The elastic modulus coefficients of Al wire and steel wire were $5,182.6 kgf/mm^2,\;18,348.8 kgf/mm^2$, respectively Therefore, the computational composition elastic modulus coefficient of the power line was $7,063.5 kgf/mm^2$, while that of experimentally measured was $7681.1 kgf/mm^2$. As a result, we found that elastic modulus coefficient which was experimentally measured was higher than that of computational by 8.7 %. However, when planner designs the sag of disoibution line, the elastic modulus coefficient of power line $8,400 kgf/mm^2$ should be generally adopted. These two different using values lead to the sag difference of 0.62 m. The other results will be discussed.

리브 보강 GFRP 관로의 탄성 좌굴거동 특성 (Elastic Behavior Characteristics of GFRP Pipes Reinforced with Ribs)

  • 서주형;한택희;윤기용;강진욱;이명섭;강영종
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2006년도 정기 학술대회 논문집
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    • pp.119-126
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    • 2006
  • The elastic budding strength of a GFRP pipe reinforced with ribs was evaluated. The height and thickness of a rib and the spacing between two adjacent ribs were considered as factors affecting tlje budding strength of the pipe. And also, the ratio of the longitudinal stiffness and transverse stiffness was considered as the parameter affecting on the budding strength because GFRP is orthotropic material. Buckling strengths of various GFRP pipe models with different shapes and stiffness ratio were evaluated by FE analyses and a formula to estimate the elastic buckling strength of a rib-reinforced pipe made of orthotropic material was suggested from the regression with FE analysis results. Analysis results show that a rib-reinforced pipe has superior buckling strength to a general flat pipe and the suggested formula estimates accurate buckling strength of the rib-reinforced pipe.

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異種材料 를 內包하고 있는 彈性體 의 力學的 擧動 에 관한 基礎的 硏究 (A Basic Study on the Mechanical Behavior of Elastic Body Containing Another Material)

  • 배성인;김상철
    • 대한기계학회논문집
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    • 제6권3호
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    • pp.204-210
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    • 1982
  • The mechanical behaviors of an elastic body containing another materials are studied with the statistical method since they are generally distributed at random in size, orientation, and position. As the basis of this research, the size, the shape, and the ratio of volume for another material assumed to be constant, and only the positions of another material are changed randomly. The stress intensity factor, the compliance, and the modulus of elasticity are investigated in two-dimensional state by using the Monte Carlo Method and the Finite Element Method. The methodology of the simulation analysis for the mechanical behavior of such material is also proposed.