• 제목/요약/키워드: scalar damage

검색결과 16건 처리시간 0.02초

Theoretical formulation of double scalar damage variables

  • Xue, Xinhua;Zhang, Wohua
    • Computers and Concrete
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    • 제19권5호
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    • pp.501-507
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    • 2017
  • The predictive utility of a damage model depends heavily on its particular choice of a damage variable, which serves as a macroscopic approximation in describing the underlying micromechanical processes of microdefects. In the case of spatially perfectly randomly distributed microcracks or microvoids in all directions, isotropic damage model is an appropriate choice, and scalar damage variables were widely used for isotropic or one-dimensional phenomenological damage models. The simplicity of a scalar damage representation is indeed very attractive. However, a scalar damage model is of somewhat limited use in practice. In order to entirely characterize the isotropic damage behaviors of damaged materials in multidimensional space, a system theory of isotropic double scalar damage variables, including the expressions of specific damage energy release rate, the coupled constitutive equations corresponding to damage, the conditions of admissibility for two scalar damage effective tensors within the framework of the thermodynamics of irreversible processes, was provided and analyzed in this study. Compared with the former studies, the theoretical formulations of double scalar damage variables in this study are given in the form of matrix, which has many features such as simpleness, directness, convenience and programmable characteristics. It is worth mentioning that the above-mentioned theoretical formulations are only logically reasonable. Owing to the limitations of time, conditions, funds, etc. they should be subject to multifaceted experiments before their innovative significance can be fully verified. The current level of research can be regarded as an exploratory attempt in this field.

Evaluation of scalar structure-specific ground motion intensity measures for seismic response prediction of earthquake resistant 3D buildings

  • Kostinakis, Konstantinos G.;Athanatopoulou, Asimina M.
    • Earthquakes and Structures
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    • 제9권5호
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    • pp.1091-1114
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    • 2015
  • The adequacy of a number of advanced earthquake Intensity Measures (IMs) to predict the structural damage of earthquake resistant 3D R/C buildings is investigated in the present paper. To achieve this purpose three symmetric in plan and three asymmetric 5-storey R/C buildings are analyzed by nonlinear time history analysis using 74 bidirectional earthquake records. The two horizontal accelerograms of each ground motion are applied along the structural axes of the buildings and the structural damage is expressed in terms of the maximum and average interstorey drift as well as the overall structural damage index. For each individual pair of accelerograms the values of the aforementioned seismic damage measures are determined. Then, they are correlated with several strong motion scalar IMs that take into account both earthquake and structural characteristics. The research identified certain IMs which exhibit strong correlation with the seismic damage measures of the studied buildings. However, the degree of correlation between IMs and the seismic damage depends on the damage measure adopted. Furthermore, it is confirmed that the widely used spectral acceleration at the fundamental period of the structure is a relatively good IM for medium rise R/C buildings that possess small structural eccentricity.

Implementation of double scalar elastic damage constitutive model in UMAT interface

  • Liu, Pan Pan;Shen, Bo
    • Computers and Concrete
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    • 제27권2호
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    • pp.153-162
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    • 2021
  • This paper aims to simulate the isotropic elastic damage theory of Liu Jun (2012) using the self-programmed UMAT subroutine in the interface of ABAQUS. Liu Jun (2012)'s method based on the mechanic theory can not be used interactively with the currently commonly used finite element software ABAQUS. The advantage of this method in the paper is that it can interact with ABAQUS and provide a constitutive program framework that can be modified according to user need. The model retains the two scalar damage variables and the corresponding two energy dissipation mechanisms and damage criteria for considering the tensile and compressive asymmetry of concrete. Taking C45 concrete as an example, the relevant damage evolution parameters of its tensile and compressive constitutive model are given. The study demonstrates that the uniaxial tensile stress calculated by the subroutine is almost the same as the Chinese Concrete Design Specification (GB50010) before the peak stress, but ends soon after the peak stress. The stress-strain curve of uniaxial compression calculated by the subroutine is in good agreement with the peak stress in Chinese Concrete Design Specification (GB50010), but there is a certain deviation in the descending stage. In addition, this paper uses the newly compiled subroutine to simulate the shear bearing capacity of the shear key in a new structural system, namely the open-web sandwich slab. The results show that the damage constitutive subroutine has certain reliability.

영상보안시스템에서의 데이터 보호를 위한 ECC(Elliptic Curve Cryptography) 연산알고리즘 비교분석 (A Comparative Analysis on ECC(Elliptic Curve Cryptography) Operation Algorit hm for Data Protection in Video security System)

  • 김종민;추현욱;이동휘
    • 융합보안논문지
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    • 제19권5호
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    • pp.37-45
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    • 2019
  • 기술의 발전을 통해 기존 영상보안시스템들이 아날로드 방식의 CCTV에서 네트워크 기반 CCTV로 교체되어지고 있다. 이러한 기술 변화로 인해 네트워크를 이용한 도청 및 해킹에 대한 공격이 발생하게 되면 영상정보유출로 인해 개인 및 공공기관에 대한 피해는 막대하다 할 수 있다. 따라서 이러한 피해발생을 해결하기 위해 본 논문에서는 데이터 통신 과정에서 영상정보를 보호할 수 있는 ECC(Elliptic Curve Cryptography) scalar multiplication algorithm들을 비교 분석하여 영상시스템에서 최적화된 ECC scalar multiplication algorithm을 제안하고자 한다.

임피던스 기법을 이용한 풍력 블레이드 손상 모니터링 (Damage Monitoring for Wind Turbine Blade using Impedance Technique)

  • 허용학;김종일;홍성구
    • 비파괴검사학회지
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    • 제33권5호
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    • pp.452-458
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    • 2013
  • 풍력 발전 블레이드에서 손상 발생 및 진전을 모니터링하기 위한 임피던스 기법에 대한 고찰을 하였다. 본 연구에서는 PVDF 필름 피에조 센서를 제작하여 10 kW 급 풍력 발전 블레이드에 부착하여 피로하중의 부하에 따른 임피던스 신호를 1-200 MHz 주파수 영역에서 측정하였다. 피로하중을 부하함에 따라 블레이드의 처짐과 국부적인 변형률의 변화가 발생하였고, 임피던스 신호의 패턴에서의 변화를 감지할 수 있었다. 임피던스와 변형률 그리고 처짐 신호로부터 블레이드의 국부적인 손상 혹은 기하학적 변화가 발생하였음을 알 수 있었다. 임피던스 신호의 정성적인 비교를 정량적으로 비교하기 위하여 통계적인 접근으로 스칼라 손상 지수 M을 사용하였다. 피로 하중의 부하와 센서 위치에 따른 지수 M을 계산할 수 있었고, 이들 값을 비교하여 지수와 손상을 상관지을 수 있었다.

An implicit damage-plastic model for concrete

  • Gustavo Luz Xavier da Costa
    • Computers and Concrete
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    • 제33권3호
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    • pp.301-308
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    • 2024
  • This paper proposes a numerically-based methodology to implicitly model irreversible deformations in concrete through a damage model. Plasticity theory is not explicitly employed, although resemblances are still present. A scalar isotropic damage model is adopted and the damage variable is split in two: one contributing for stiffness degradation (cracking) and other contributing for irreversible deformations (plasticity). The proposed methodology is thermodynamically consistent as it consists in a damage model rewritten in different terms. Its Finite Element coding is presented, indicating that minor changes are necessary. It is also demonstrated that nonlinear algorithms are unnecessary to model concrete cracking and plasticity. Experimental data from direct tension and four-point bending tests under cyclic loading are compared to the proposed methodology. A numerical case study of a low-cycle fatigue is also presented. It can be concluded that the model is simple, feasible and capable to capture the essentials concerning cracking and plasticity.

Homogenization based continuum damage mechanics model for monotonic and cyclic damage evolution in 3D composites

  • Jain, Jayesh R.;Ghosh, Somnath
    • Interaction and multiscale mechanics
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    • 제1권2호
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    • pp.279-301
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    • 2008
  • This paper develops a 3D homogenization based continuum damage mechanics (HCDM) model for fiber reinforced composites undergoing micromechanical damage under monotonic and cyclic loading. Micromechanical damage in a representative volume element (RVE) of the material occurs by fiber-matrix interfacial debonding, which is incorporated in the model through a hysteretic bilinear cohesive zone model. The proposed model expresses a damage evolution surface in the strain space in the principal damage coordinate system or PDCS. PDCS enables the model to account for the effect of non-proportional load history. The loading/unloading criterion during cyclic loading is based on the scalar product of the strain increment and the normal to the damage surface in strain space. The material constitutive law involves a fourth order orthotropic tensor with stiffness characterized as a macroscopic internal variable. Three dimensional damage in composites is accounted for through functional forms of the fourth order damage tensor in terms of components of macroscopic strain and elastic stiffness tensors. The HCDM model parameters are calibrated from homogenization of micromechanical solutions of the RVE for a few representative strain histories. The proposed model is validated by comparing results of the HCDM model with pure micromechanical analysis results followed by homogenization. Finally, the potential of HCDM model as a design tool is demonstrated through macro-micro analysis of monotonic and cyclic damage progression in composite structures.

A model experiment of damage detection for offshore jacket platforms based on partial measurement

  • Shi, Xiang;Li, Hua-Jun;Yang, Yong-Chun;Gong, Chen
    • Structural Engineering and Mechanics
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    • 제29권3호
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    • pp.311-325
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    • 2008
  • Noting that damage occurrence of offshore jacket platforms is concentrated in two structural regions that are in the vicinity of still water surface and close to the seabed, a damage detection method by using only partial measurement of vibration in a suspect region was presented in this paper, which can not only locate damaged members but also evaluate damage severities. Then employing an experiment platform model under white-noise ground excitation by shaking table and using modal parameters of the first three modes identified by a scalar-type ARMA method on undamaged and damaged structures, the feasibility of the damage detection method was discussed. Modal parameters from eigenvalue analysis on the structural FEM model were also used to help the discussions. It is demonstrated that the damage detection algorithm is feasible on damage location and severity evaluation for broken slanted braces and it is robust against the errors of baseline FEM model to real structure when the principal errors is formed by difference of modal frequencies. It is also found that Z-value changes of modal shapes also play a role in the precise detection of damage.

철근콘크리트보의 전단피로손상거동에 대한 수정압축장이론을 이용한 해석기법 (Analysis of Shear Damage Behaviour of Reinforced Concrete Beams using Modified Compression Field Theory)

  • 한승환;오병환
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1997년도 가을 학술발표회 논문집
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    • pp.552-557
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    • 1997
  • In this study, a quantitative analysis technique for the damage process of reinforced concrete beams under repeated shear loading is proposed, which can express the progressively increasing strain and stiffness reduction. The analysis technique is mainly based on the modified compression field theory and scalar damage concept. which describe the strain and stress configuration in the shear zone by considering the 2-dimensional effect, and express the degradation of principal compressive strut by cyclic strain increment, secant modulus decrement, and modifying the parabolic stress strain relationship. The analysis of the response of RC beams under repeated shear-flexure loading has been carried out and compared with the experimental results. The present theory may efficiently be used to evaluate the deflection and strain accumulation under repeated loadings.

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Damage detection through structural intensity and vibration based techniques

  • Petrone, G.;Carzana, A.;Ricci, F.;De Rosa, S.
    • Advances in aircraft and spacecraft science
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    • 제4권6호
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    • pp.613-637
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    • 2017
  • The development systems for the Structural Health Monitoring has attracted considerable interest from several engineering fields during the last decades and more specifically in the aerospace one. In fact, the introduction of those systems could allow the transition of the maintenance strategy from a scheduled basis to a condition-based approach providing cost benefits for the companies. The research presented in this paper consists of a definition and next comparison of four methods applied to numerical measurements for the extraction of damage features. The first method is based on the determination of the Structural Intensity field at the on-resonance condition in order to acquire information about the dissipation of vibrational energy throughout the structure. The Damage Quantification Indicator and the Average Integrated Global Amplitude Criterion methods need the evaluation of the Frequency Response Function for a healthy plate and a damaged one. The main difference between these two parameters is their mathematical definition and therefore the accuracy of the scalar values provided as output. The fourth and last method is based on the Mode-shape Curvature, a FRF-based technique which requires the application of particular finite-difference schemes for the derivation of the curvature of the plate. All the methods have been assessed for several damage conditions (the shape, the extension and the intensity of the damage) on two test plates: an isotropic (steel) plate and a 4-plies composite plate.