• Title/Summary/Keyword: Strain energy function

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Determination of Strain Energy Function of Rubber Materials Considering Stress Softening Behavior (응력연화거동을 고려한 고무 재료의 변형률 에너지 함수 결정)

  • Kim, W.S.;Hong, S.I.
    • Elastomers and Composites
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    • v.42 no.3
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    • pp.168-176
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    • 2007
  • When the rubber vulcanizates reinforced with carbon black or silica are subjected to cyclic loading from its virgin state, the stress required on reloading is less than that on the initial loading. This stress softening phenomenon is referred to as the Mullins effect. The strain energy function of rubber vulcanizates was investigated using theory of pseudo-elasticity incorporated damage parameter that Ogden and Roxburgh have proposed to describe the damage-induced stress softening effect in rubber-like solids. The quasi-static cyclic loading test was performed using the NR-SBR vulcanizates reinforced with carbon black, and then the effect of a damage parameter to stress-strain curve in reloading and subsequent reloading paths was studied. The strain energy function of the rubber vulcanizates with a different filler content was also evaluated.

Study on Temperature-Dependent Mechanical Properties of Chloroprene Rubber for Finite Element Analysis of Rubber Seal in an Automatic Mooring System (자동계류시스템 고무 씰 유한요소해석을 위한 고무 소재의 온도별 기계적 특성 연구)

  • Son, Yeonhong;Kim, Myung-Sung;Jang, Hwasup;Kim, Songkil;Kim, Yongjin
    • Journal of the Society of Naval Architects of Korea
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    • v.59 no.3
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    • pp.157-163
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    • 2022
  • An automatic mooring system for a ship consists of a vacuum suction pad and a mechanical part, enabling quick and safe mooring of a ship. In the development of a mooring system, the design of a vacuum suction pad is a key to secure enough mooring forces and achieve stable operation of a mooring system. In the vacuum suction pad, properly designing its rubber seal determines the performance of the suction pad. Therefore, it is necessary to appropriately design the rubber seal for maintaining a high-vacuum condition inside the pad as well as achieving its mechanical robustness for long-time use. Finite element analysis for the design of the rubber seal requires the use of an appropriate strain energy function model to accurately simulate mechanical behavior of the rubber seal material. In this study, we conducted simple uniaxial tensile testing of Chloroprene Rubber (CR) to explore the strain energy function model best-fitted to its experimentally measured engineering strain-stress curves depending on various temperature environments. This study elucidates the temperature-dependent mechanical behaviors of CR and will be foundational to design rubber seal for an automatic mooring system under various temperature conditions.

Feasibility study on model-based damage detection in shear frames using pseudo modal strain energy

  • Dehcheshmeh, M. Mohamadi;Hosseinzadeh, A. Zare;Amiri, G. Ghodrati
    • Smart Structures and Systems
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    • v.25 no.1
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    • pp.47-56
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    • 2020
  • This paper proposes a model-based approach for structural damage identification and quantification. Using pseudo modal strain energy and mode shape vectors, a damage-sensitive objective function is introduced which is suitable for damage estimation and quantification in shear frames. Whale optimization algorithm (WOA) is used to solve the problem and report the optimal solution as damage detection results. To illustrate the capability of the proposed method, a numerical example of a shear frame under different damage patterns is studied in both ideal and noisy cases. Furthermore, the performance of the WOA is compared with particle swarm optimization algorithm, as one the widely-used optimization techniques. The applicability of the method is also experimentally investigated by studying a six-story shear frame tested on a shake table. Based on the obtained results, the proposed method is able to assess the health of the shear building structures with high level of accuracy.

Formulation of Failure Strain according to Average Stress Triaxiality of Low Temperature High Strength Steel (EH36) (저온용 고장력강(EH36)의 평균 응력 삼축비에 따른 파단 변형률 정식화)

  • Choung, Joonmo;Nam, Woongshik
    • Journal of Ocean Engineering and Technology
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    • v.27 no.2
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    • pp.19-26
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    • 2013
  • Stress triaxiality is recognized as one of the most important factors for predicting the failure strain of ductile metals. This study dealt with the effect of the average stress triaxiality on the failure strain of a typical low-temperature high-strength marine structural steel, EH36. Tensile tests were carried out on flat specimens with different notches, from relatively smooth to very sharp levels. Numerical simulations of each specimen were performed by using ABAQUS. The failure initiation points in numerical simulations were identified from a comparison of the engineering stress vs. strain curves obtained from experiments with simulated ones. The failure strain curves for various dimensionless critical energy levels were established in the average stress triaxiality domain and compared with the identified failure strain points. It was observed that most of the failure initiation points were approximated with a 100% dimensionless critical energy curve. It was concluded that the failure strains were well expressed as a function of the average stress triaxiality.

Identification of isotropic and orthotropic constitutive parameters by FEA-free energy-based inverse characterization method

  • Shang, Shen;Yun, Gun Jin;Kunchum, Shilpa;Carletta, Joan
    • Structural Engineering and Mechanics
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    • v.45 no.4
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    • pp.471-494
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    • 2013
  • In this paper, identification of isotropic and orthotropic linear elastic material constitutive parameters has been demonstrated by a FEA-free energy-based inverse analysis method. An important feature of the proposed method is that it requires no finite element (FE) simulation of the tested material. Full-field displacements calculated using digital image correlation (DIC) are used to compute DIC stress fields enforcing the equilibrium condition and DIC strain fields using interpolation functions. Boundary tractions and displacements are implicitly recast into an objective function that measures the energy residual of external work and internal elastic strain energy. The energy conservation principle states that the residual should be zero, and so minimizing this objective function inversely identifies the constitutive parameters. Synthetic data from simulated testing of isotropic materials and orthotropic composite materials under 2D plane stress conditions are used for verification of the proposed method. When identifying the constitutive parameters, it is beneficial to apply loadings in multiple directions, and in ways that create non-uniform stress distributions. The sensitivity of the parameter identification method to noise in both the measured full-field DIC displacements and loadings has been investigated.

The Effect of Ageing Time and Temperature on the Strain Ageing Behaviour of Quenched Zircaloy-4

  • Rheem, Karp-Soon;Park, Won-Koo;Yook, Chong-Chul
    • Nuclear Engineering and Technology
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    • v.9 no.3
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    • pp.117-123
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    • 1977
  • The strain ageing behaviour of quenched Zircaloy--4 has been studied as a function of ageing time and temperature in the temperature range 523 to 588 K for a short-ageing time of 1 to 52 seconds. At the test conditions, the strain ageing stress increased with ageing time and temperature at a strain rate of 5.55$\times$10$^{-4}$ sec$^{-1}$ . Applying stress on the Quenched Zircaloy-4, the strain ageing effect indicated following two stages: an initial stage having an activation energy of 0.39 ev considered to be due to Snoek type ordering of intersitial oxygen atoms in the stress field of a dislocation and a second stage having an activation energy of 0.60 ev, due to mainly long-range diffusion of oxygen atoms.

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Crack Length Estimation for Large Deformable Non-Linear Elastic Materials (대변형 비선형 탄성재료의 균열길이 예측)

  • Yang, Gyeong-Jin;Gang, Gi-Ju;Park, Sang-Seo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.1 s.173
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    • pp.103-109
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    • 2000
  • A method to measure the crack length in rubbery materials is described. Through dimensional analysis and experiments, an equation is derived to give the crack length as a function of the change of strain energy density in a region remote from the crack. The function is provided in a form of separated terms of loading and material, the validity of which is experimentally proved using separation parameters.

FEM Analysis of alternatively laminated structure constructed of rubber and reinforced aluminium layers (고무 알루미늄 적층 구조물의 유한요소 해석)

  • Park, Sung-Han;Lee, Bang-Up;Hong, Myung-Pyo;Ryu, Back-Reung
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.402-406
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    • 2000
  • Strain energy function of the isoprene rubber was accurately determined by the experiments of uniaxial tension, planar tension, biaxial tension and volumetric compression. Deformation behavior of alternatively laminated structure of elastomer and reinforced aluminium layers, was analysed by Finite Element method. As a result, Ogden strain energy function obtained from the experiments describes the hyperelastic characteristics of the rubber very well. The compressibility of the rubber reduces axial stiffness of the structure. The axial stiffness of alternatively laminated structure being larger than shear stiffness. Which enables the structure to be shear-deformed easily.

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A compressible finite element model for hyperelastic members under different modes of deformation

  • Manna, M.C.;Sheikh, A.H.;Bhattacharyya, R.
    • Structural Engineering and Mechanics
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    • v.24 no.2
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    • pp.227-245
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    • 2006
  • The performance of a three dimensional non-linear finite element model for hyperelastic material considering the effect of compressibility is studied by analyzing rubber blocks under different modes of deformation. It includes simple tension, pure shear, simple shear, pure bending and a mixed mode combining compression, shear and bending. The compressibility of the hyperelastic material is represented in the strain energy function. The nonlinear formulation is based on updated Lagrangian (UL) technique. The displacement model is implemented with a twenty node brick element having u, ${\nu}$ and w as the degrees of freedom at each node. The results obtained by the present numerical model are compared with the analytical solutions available for the basic modes of deformation where the agreement between the results is found to be satisfactory. In this context some new results are generated for future references since the number of available results on the present problem is not sufficient enough.

J-integral of Penny-Shaped Crack on the End of Stiff Fiber Embedded in Rubbery Materials (고무와 섬유로 구성된 복합체 내의 섬유 끝 부분의 원형 균열에 대한 J-적분)

  • Yang, Gyeong-Jin;Gang, Gi-Ju
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.4
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    • pp.617-624
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    • 2002
  • An equation of J-integral for a penny-shaped crack at the end of the fiber embedded in rubber matrix is proposed. The values of J-integral for the specimens with various crack and specimen radius are obtained by FEA(Finite Element Analysis). The dimensional analysis is applied to derive an equation of J-integral as a nonlinear elastic energy release rate. The geometry and deformation calibration function in an equation of J can be expressed in a separated form. The geometry calibration function characterizing the effects of cord and specimen size is expressed in a polynomial form of fourth order. The deformation calibration function characterizes the effect of the overall level of strain. As approaching the infinitesimal strain, the value of the deformation calibration function approaches the results of LEFM(Linear Elastic Fracture Mechanics).