• 제목/요약/키워드: Constitutive Law

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The effect of carbon nanotubes agglomeration on vibrational response of thick functionally graded sandwich plates

  • Tahouneh, Vahid
    • Steel and Composite Structures
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    • 제24권6호
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    • pp.711-726
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    • 2017
  • In the present work, by considering the agglomeration effect of single-walled carbon nanotubes, free vibration characteristics of functionally graded (FG) nanocomposite sandwich plates resting on Pasternak foundation are presented. The volume fractions of randomly oriented agglomerated single-walled carbon nanotubes (SWCNTs) are assumed to be graded in the thickness direction. To determine the effect of CNT agglomeration on the elastic properties of CNT-reinforced composites, a two-parameter micromechanical model of agglomeration is employed. In this research work, an equivalent continuum model based on the Eshelby-Mori-Tanaka approach is employed to estimate the effective constitutive law of the elastic isotropic medium (matrix) with oriented straight CNTs. The 2-D generalized differential quadrature method (GDQM) as an efficient and accurate numerical tool is used to discretize the equations of motion and to implement the various boundary conditions. The proposed rectangular plates have two opposite edges simply supported, while all possible combinations of free, simply supported and clamped boundary conditions are applied to the other two edges. The benefit of using the considered power-law distribution is to illustrate and present useful results arising from symmetric and asymmetric profiles. The effects of two-parameter elastic foundation modulus, geometrical and material parameters together with the boundary conditions on the frequency parameters of the laminated FG nanocomposite plates are investigated. It is shown that the natural frequencies of structure are seriously affected by the influence of CNTs agglomeration. This study serves as a benchmark for assessing the validity of numerical methods or two-dimensional theories used to analysis of laminated plates.

Ship collision in Chinese Maritime Law: Legislation and Judicial Practice

  • Qi, Jiancuo
    • 한국항해항만학회지
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    • 제46권2호
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    • pp.99-109
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    • 2022
  • A report released by the Chinese Maritime Court found that the natural environment and other objective factors have greatly reduced the risk of ship collision accidents with the advancement of technologies. However, collisions between merchant ships and fishing boats occur frequently along the coast during fishing seasons, which should be highly valued. International conventions and domestic legislation in China comprise detailed laws with respect to ship collisions, but the theory of ship collision infringement needs to be improved, enriched, and developed. Meanwhile, the development of the tort liability law provides theoretical support for ship collision infringement. As far as China's ship tort legal system is concerned, the research on ship collision tort damage compensation is relatively extensive, and the constitutive elements and causality of ship collision tort liability have also been studied in depth. The purpose of this paper is to explore the domestic legislation applicable to disputes related to ship collisions in China. As these laws are unclear on the resolution of disputes resulting from ship collisions, significant attention has been focused on the final judgments by the Supreme Court of China (SPC), as well as the judicial judgments set by the Maritime Court of China.

Geometrically nonlinear elastic analysis of space trusses

  • Tin-Loi, F.;Xia, S.H.
    • Structural Engineering and Mechanics
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    • 제7권4호
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    • pp.345-360
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    • 1999
  • A general framework for the nonlinear geometric analysis of elastic space trusses is presented. Both total Lagrangian and finite incremental formulations are derived from the three key ingredients of statics, kinematics and constitutive law. Particular features of the general methodology include the preservation of static-kinematic duality through the concept of fictitious forces and deformations, and an exact description for arbitrarily large displacements, albeit small strain, that can be specialized to any order of geometrical nonlinearity. As for the numerical algorithm, we consider specifically the finite incremental case and suggest the use of a conventional, simple and flexible arc-length based method. Numerical examples are presented to illustrate and validate the accuracy of the approach.

Bree's interaction diagram of beams with considering creep and ductile damage

  • Nayebi, A.
    • Structural Engineering and Mechanics
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    • 제30권6호
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    • pp.665-678
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    • 2008
  • The beams components subjected to the loading such as axial, bending and cyclic thermal loads were studied in this research. The used constitutive equations are those of elasto-plasticity coupled to ductile and/or creep damage. The nonlinear kinematic hardening behavior was considered in elastoplasticity modeling. The unified damage law proposed for ductile failure and fatigue by the author of Sermage et al. (2000) and Kachanov's creep damage model applied to cyclic creep and low cycle fatigue of beams. Based on the results of the analysis, the shakedown limit loads were determined through the calculation of the residual strains developed in the beam analysis. The iterative technique determines the shakedown limit load in an iterative manner by performing a series of full coupled elastic-plastic and continuum damage cyclic loading modeling. The maximum load carrying capacity of the beam can withstand, were determined and imposed on the Bree's interaction diagram. Comparison between the shakedown diagrams generated by or without creep and/or ductile damage for the loading patterns was presented.

Simulation study on CFRP strengthened reinforced concrete beam under four-point bending

  • Zhang, Dongliang;Wang, Qingyuan;Dong, Jiangfeng
    • Computers and Concrete
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    • 제17권3호
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    • pp.407-421
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    • 2016
  • This paper presents numerical modeling of the structural behavior of CFRP (carbon fiber reinforced polymer) strengthened RC (reinforced concrete) beams under four-point bending. Simulation of debonding at the CFRP-concrete interface was focused, as it is the main failure mode of CFRP strengthened RC beams. Here, cohesive layer was employed to model the onset of debonding, which further helps to describe the post debonding behavior of the CFRP strengthened RC beam. In addition, the XFEM approach was applied to investigate the effects of crack localization on strain field on CFRP sheet and rebar. The strains obtained from the XFEM correlate better to the test results than that from CDP (concrete damaged plasticity) model. However, there is a large discrepancy between the experimental and simulated loaddisplacement relationships, which is due to the simplification of concrete constitutive law.

피로 균열 진전에 따른 응력확대계수 측정에 관한 연구 (A Study on the Measurement of Stress Intensity Factors for the Fatigue Crack Propagation)

  • 오동진;김명현
    • Journal of Welding and Joining
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    • 제30권6호
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    • pp.80-85
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    • 2012
  • Fatigue cracks in structural components are the most common cause of structural failure when exposed to fatigue loading. In this respect, fatigue crack detection and structural health assessment are very important. Currently, various smart materials are used for detecting fatigue crack and measurement of SIFs(Stress Intensity Factors). So, this paper presented a measurement of SIFs using MFC(Micro Fiber Composite) sensor which is the one of the smart material. MFC sensor is more flexible, durable and reliable than other smart materials. The SIFs of Mode I(K I) as well as Mode II(K II) based on the piezoelectric constitutive law and fracture mechanics are calculated. In this study, the SIF values measured by MFC sensors are compared with the theoretical results.

A fracture criterion for high-strength steel structural members containing notch-shape defects

  • Toribio, J.;Ayaso, F.J.
    • Steel and Composite Structures
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    • 제3권4호
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    • pp.231-242
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    • 2003
  • This paper deals with the formulation and development of fracture criteria for high-strength structural members containing surface damage in the form of notches (i.e., blunt defects). The important role of the yield strength of the material and its strain hardening capacity (evaluated by means of the constitutive law or stress-strain curve) is analysed in depth by considering the fracture performance of notched samples taken from high-strength steels with different levels of cold drawing (the most heavily drawn steel being commercial prestressing steel used in prestressed concrete). The final aim of the paper is to establish fracture-based design criteria for structural members made of steels with distinct yield strength and containing very different kinds of notch-shape surface damage.

Numerical Simulation of Flow-Induced Birefringence in Injection Molded Disk

  • Lee H. S.;Shyu G. D.;Isayev A. I.
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2003년도 The Korea-Japan Plastics Processing Joint Seminar
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    • pp.41-47
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    • 2003
  • This study is an attempt to understand the birefringence and stress development in an injection molded disk. A computer code was developed to simulate all three stages of the injection molding process - filling, packing and cooling by finite element method. The constitutive equation used here was compressible Leonov model. The PVT relationship was assumed to follow the Tait equation. The flow-induced birefringence was related to the calculated flow stresses through the linear stress-optical law. The predicted birefringence was in good agreement with the experimental results.

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유동응력의 비선형 속도 민감도에 대한 모델링 (Modeling on the Nonlinear Rate Sensitivity of Flow Stress)

  • 호광수
    • 대한기계학회논문집A
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    • 제28권6호
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    • pp.670-676
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    • 2004
  • Most metallic materials and alloys show rate independence or negative rate sensitivity in some temperature region when dynamic strain aging occurs. It is generally recognized that negative rate sensitivity is an essential feature of dynamic strain aging that can depend on strain and/or strain rate. The unified viscoplasticity theory based on overstress is applied to reproduce a change of rate sensitivity type that depends on strain or strain rate. This is accomplished through the introduction of a single new term in the growth law of the equilibrium stress, which is a tensor valued state variable of the model. It is also shown that the new term can be used to reproduce a dramatic increase of rate sensitivity in dynamic plasticity.

Numerical simulation of flow-induced birefringence in injection molded disk

  • Shyu, Goang-Ding;Avraam I. Isayev;Lee, Ho-Sang
    • Korea-Australia Rheology Journal
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    • 제15권4호
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    • pp.159-166
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    • 2003
  • This study is an attempt to understand the birefringence and stress development in an injection molded disk. A computer code was developed to simulate all three stages of the injection molding process filling, packing and cooling by finite element method. The constitutive equation used here was compressible Leonov model. The PVT relationship was assumed to follow the Tait equation. The flow-induced birefringence was related to the calculated flow stresses through the linear stress-optical law. The predicted birefringence was in good agreement with the experimental results.