• Title/Summary/Keyword: Constitutive Equations

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Integration of 3-Dim SPH Scheme into the ExLO Code (극대변형 해석을 위한 SPH 수치기법 개발 및 ExLO 코드 연계)

  • Lee, Min-Hyung;Cho, Young-Jun
    • Journal of the Korea Institute of Military Science and Technology
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    • v.14 no.3
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    • pp.532-537
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    • 2011
  • This paper describes the development of SPH(Smooth Particle Hydrodynamics) scheme and integration into the multi-material shock physics code(ExLO) for the purpose of the application to the extreme large deformation problems. SPH numerical scheme has been extended into the fluid dynamics and the high-speed impact events, such as space structure protection against space debris and meteorite catering. Like other hydrocodes, SPH scheme also solves the conservation equations with the constitutive equation including equation of state. The benchmark problem, Taylor-Impact test, was simulated and the predictions show good agreements with both the published numerical data and experimental data. Currently, the contact treatment between materials is under development.

Path-dependant Nonlinear Analysis of RC shell Structures using Volume Control Method (체적제어법을 이용한 철근콘크리트 쉘구조물의 경로의존 비선형 해석)

  • 송하원;이준희;변근부
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.10a
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    • pp.585-590
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    • 2003
  • To overcome the drawbacks of conventional load control method and displacement control method, the so-called volume control method was developed by utilizing a pressure node added into a finite shell element. In this study, an improved volume control method which can analyze path-dependant behaviors of RC shell structures subjected to cyclic loading effectively is developed. RC shell structures are discretized with layered shell elements and in-plane two dimensional constitutive equations for concrete and reinforcements are implemented for each layer of the shell elements. Validity of the so-called path dependant volume control method is also verified by comparing analysis results with other data including experimental results.

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

  • 노희열;조맹효
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2000.11a
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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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Dynamics of thick hygrothermal viscoelastic composite laminates through finite element method

  • Assie, Amr E.;Mahmoud, Fatin F.
    • Structural Engineering and Mechanics
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    • v.17 no.5
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    • pp.727-734
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    • 2004
  • An uncoupled computational model for analyzing the hygrothermal dynamic response of composite laminates has been developed. The constitutive equations, expressed in an integral form, and involving relaxation moduli are adopted, to describe the non-aging hygrothermorheologically simple materials. A Prony series represents the relaxation moduli is exploited in order to derive a recursive relationship, and thereby eliminate the storage problem that arises when dealing with material possessing memory. The problem is formulated in a descritized variational form. Mindlin and higher order finite elements are employed for spatial descretization, while the Newmark average acceleration scheme is exploited for temporal descritization. The adopted recursive formula uses only the details of the previous event to compute the details of the current one. Numerical results of the displacement fields of both thin and thick viscoelastic laminates problems are discussed to show up the effectiveness of Mindlin and higher-order shear theories.

Stress wave propagation in composite materials

  • Shen, Siyuan J.;Pfister, Jens C.;Lee, James D.
    • Structural Engineering and Mechanics
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    • v.11 no.4
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    • pp.407-422
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    • 2001
  • The linear constitutive relations and the failure criteria of composite materials made of thermoviscoelastic solids are presented. The post-failure material behavior is proposed and the dynamic finite element equations are formulated. However, a nonlinear term is kept in the energy equation because it represents the effect of the second law of thermodynamics. A general purpose nonlinear three-dimensional dynamic finite element program COMPASS is upgraded and employed in this work to investigate the interdependence among stress wave propagation, stress concentration, failure progression and temperature elevation in composite materials. The consequence of truthfully incorporating the second law of thermodynamics is clearly observed: it will always cause temperature rise if there exists a dynamic mechanical process.

Yield function of the orthotropic material considering the crystallographic texture

  • Erisov, Yaroslav A.;Grechnikov, Fedor V.;Surudin, Sergei V.
    • Structural Engineering and Mechanics
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    • v.58 no.4
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    • pp.677-687
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    • 2016
  • On the basis of the energy approach it is reported a development of the yield function and the constitutive equations for the orthotropic material with consideration of the crystal lattice constants and parameters of the crystallographic texture for the general stress state. For practical use in sheet metal forming analysis it is considered different loading scenarios: plane stress and plane strain states. Using the proposed yield function, the influence of single ideal components on the shape of yield surface was analyzed. The six texture components investigated here were cube, Goss, copper, brass, S and rotated cube, as these components are typically observed in rolled sheets from FCC alloys.

Analytic Approach to Fiber Reinforced Composite under Cyclic Loading (반복하중을 받는 섬유 보강 콘크리트의 해석적 접근)

  • Shin, Kyung-Joon;Chang, Sung-Pil
    • Proceedings of the Korea Concrete Institute Conference
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    • 2006.11a
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    • pp.669-672
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    • 2006
  • Recently, large efforts have been made to develop and understand the behavior of Fiber Reinforced Concrete. As in the static loading cases, many researches have been done. However, a few studies have been conducted in cyclic behaviors of FRC. The main objective of the present work is to investigate the cyclic behavior of fiber reinforced concrete with theoretical method. First, cyclic constitutive relations which describe the crack bridging stress considering non-uniform interfacial bond degradation in short randomly oriented fiber reinforced matrix composites under uniaxial cyclic tension were considered. A cyclic degradation model of single fiber based on micromechanics also taken into consideration. As an example, fatigue analysis for ECC with PVA fiber was conducted using proposed equations. Results shows that proposed method can establish a basis for analyzing cyclic behavior of fiber reinforced composites.

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Implementation of the modified compression field theory in a tangent stiffness-based finite element formulation

  • Aquino, Wilkins;Erdem, Ibrahim
    • Steel and Composite Structures
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    • v.7 no.4
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    • pp.263-278
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    • 2007
  • A finite element implementation of the modified compression field theory (MCFT) using a tangential formulation is presented in this work. Previous work reported on implementations of MCFT has concentrated mainly on secant formulations. This work describes details of the implementation of a modular algorithmic structure of a reinforced concrete constitutive model in nonlinear finite element schemes that use a Jacobian matrix in the solution of the nonlinear system of algebraic equations. The implementation was verified and validated using experimental and analytical data reported in the literature. The developed algorithm, which converges accurately and quickly, can be easily implemented in any finite element code.

Active Vibration Control of Flexible Cantilever Beam Using Piezoceramic Actuators and PID Controller (압전체 작동기와 PID 제어기를 이용한 유연 외팔보의 능동 전동 제어)

  • Choi, Soo-Young;Ahn, Jae-Hong;Lee, Jong-Sung;Park, Ki-Heon
    • Proceedings of the KIEE Conference
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    • 2003.07d
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    • pp.2073-2075
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    • 2003
  • This paper presents the active vibration control of flexible cantilever beam using piezoceramic actuators. The transfer function from the force input to the bending displacement was obtained via modal analysis results and piezoelectric constitutive equations. For the active vibration control piezoceramic actuators and sensors were used to construct a flexible smart cantilever beam. To further enhance the sensing and actuation properties of the piezoceramics, a typical interdigitated electrode pattern was fabricated. The PID controller was designed via various simulation and experiment trials. It was shown that the PID controller could suppress vibration of the beam effectively. Simulations and experiments verified good performances of the designed controller.

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Transient Analysis of Delaminated Smart Composite Laminates (층간 분리가 있는 지능형 복합재 적층판의 과도응답해석)

  • Kim, Heung-Su;Kim, Jae-Hwan;Choi, Seung-Bok
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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    • pp.469-475
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    • 2004
  • The transient analysis of delaminated smart composite laminates is studied using an improved layerwise laminate theory. The theory is capable of capturing interlaminar shear stresses that are critical to delamination. The presence of discrete delamination is modeled through the use of Heaviside unit step functions. Stress free boundary conditions are enforced at all fee surfaces. Continuity in displacement field and transverse shear stresses are enforced at each ply level. In modeling piezoelectric composite plates, a coupled piezoelectric-mechanical formulation is used in the development of the constitutive equations. Numerical analysis is conducted to investigate the effect of nonlinearity in the transient vibration of bimodular behavior caused by the contact impact of delaminated interfaces. Composite plates with delamination, subject to external loads and voltage history from surface bonded sensors, are investigated and the results are compared with corresponding experimental results and plates without delamination.

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