• Computers and Concrete
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• 제32권4호
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• pp.383-392
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• 2023

The mechanical properties of Recycled Aggregate Concrete (RAC) with 100 percent Recycled Coarse Aggregate (RCA) under loading rates were investigated in depth. The theoretical model was validated utilizing the RAC elastic modulus obtained from cylindrical specimens subjected to various strain rates. Viscoelastic theories have traditionally been used to describe creep and relaxation of viscoelastic materials at low strain rates. In this study, viscoelastic theories were extended to the time domain of high strain rates. The theory proposed was known as reversed viscoelastic theory. Normalized Dirichlet-Prony theory was used as an illustration, and its parameters were determined. Comparing the predicted results to the experimental data revealed a high level of concordance. This methodology demonstrated its ability to characterize the strain rate effect for viscoelastic materials, as well as its applicability for determining not only the elastic modulus for viscoelastic materials, but also their shear and bulk moduli.

• Coupled systems mechanics
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• 제7권5호
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• pp.509-524
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• 2018

A hierarchical multi-scale modeling strategy devoted to the study of a Bitumen-Bound Gravel (BBG) is presented in this paper. More precisely, the paper investigates the temperature-dependent linear viscoelastic of the material when submitted to low deformations levels and moderate number of cycles. In such a hierarchical approach, 3D digital Representative Elementary Volumes are built and the outcomes at a scale (here, the sub-mesoscale) are used as input data at the next higher scale (here, the mesoscale). The viscoelastic behavior of the bituminous phases at each scale is taken into account by means of a generalized Maxwell model: the bulk part of the behavior is separated from the deviatoric one and bulk and shear moduli are expanded into Prony series. Furthermore, the viscoelastic phases are considered to be thermorheologically simple: time and temperature are not independent. This behavior is reproduced by the Williams-Landel-Ferry law. By means of the FE simulations of stress relaxation tests, the parameters of the various features of this temperature-dependent viscoelastic behavior are identified.

• 대한토목학회논문집
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• 제14권4호
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• pp.827-838
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• 1994

많은 포장구조 거동 모델은 입상재료의 거동을 묘사하는 구성방정식에 의존하고 있다. 본 연구에서는 비행장 포장의 입상재료 기층의 거동 예측을 위하여, 체적응력(bulk stress)과 팔면체 전단응력(octahedral shear stress)의 함수로 표시된 구성모델이 제안되었다. 이 모델의 특징은 비선형거동을 정확히 예측할 수 있고, 모델상수를 간단히 구할 수 있으며 전단효과에 의한 회복탄성계수의 감소현상을 나타낼 수 있다. 실내시험을 통하여 입상재료의 비선행 회복탄성거동을 관찰하였으며, 제안된 모델을 입증하기 위해 회복탄성계수를 측정하였다. 체적응력과 축차응력이 회복탄성계수의 변화에 가장 주요한 변수임이 관찰되었으며, 실내시험 결과 제안된 모델식에 의한 회복탄성계수의 예측치가 실측치와 잘 일치함을 알 수 있었다. 따라서 제안된 모델식은 비행장 포장에서 일어날 수 있는 광범위한 응력조건하의 입상재료의 회복탄성거동을 잘 묘사할 수 있음을 알 수 있다.

• Steel and Composite Structures
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• 제48권5호
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• pp.583-597
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• 2023

This paper introduces a novel approach to multi-material topology optimization (MTO) targeting in-plane bi-directional functionally graded (IBFG) non-uniform thickness Reissner-Mindlin plates, employing an alternative active phase approach. The mathematical formulation integrates a first shear deformation theory (FSDT) to address compliance minimization as the objective function. Through an alternating active-phase algorithm in conjunction with the block Gauss-Seidel method, the study transforms a multi-phase topology optimization challenge with multi-volume fraction constraints into multiple binary phase sub-problems, each with a single volume fraction constraint. The investigation focuses on IBFG materials that incorporate adequate local bulk and shear moduli to enhance the precision of material interactions. Furthermore, the well-established mixed interpolation of tensorial components 4-node elements (MITC4) is harnessed to tackle shear-locking issues inherent in thin plate models. The study meticulously presents detailed mathematical formulations for IBFG plates in the MTO framework, underscored by numerous numerical examples demonstrating the method's efficiency and reliability.

• 한국재료학회지
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• 제11권5호
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• pp.372-377
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• 2001

Part I에서 도출된 기초 식을 적용하여 입자 분산 강화형, 섬유 강화형 및 적층형 복합재료의 유효탄성제수 및 열팽창계수를 산정 하였다. 일방향 섬유 강화 복합재료의 경우 섬유의 유효 축비 (aspect ratio)가 고려되었으며, 유효 탄성계수는 다른 연구 결과들과 비교하였다. 입자 분산 강화형 복합재료의 유효 체적탄성률 및 전단 탄성률은 Korner의 표식 및 Hanshin과 Shtrikman의 하한치 (lower bounds)와 일치하고 있다. 일방향 섬유 강화 복합재료에서는 6개, Hanshin과 Rosen의 모델에 나타낸 4개의 독립 탄성계수와 일치하고 있다.

• Structural Engineering and Mechanics
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• 제44권4호
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• pp.431-448
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• 2012

In this paper, the first-order shear deformation theory (FSDT) (Mindlin) for continuum incorporating surface energy is exploited to study the static behavior of ultra-thin functionally graded (FG) plates. The size-dependent mechanical response is very important while the plate thickness reduces to micro/nano scales. Bulk stresses on the surfaces are required to satisfy the surface balance conditions involving surface stresses. Unlike the classical continuum plate models, the bulk transverse normal stress is preserved here. By incorporating the surface energies into the principle of minimum potential energy, a series of continuum governing differential equations which include intrinsic length scales are derived. The modifications over the classical continuum stiffness are also obtained. To illustrate the application of the theory, simply supported micro/nano scaled rectangular films subjected to a transverse mechanical load are investigated. Numerical examples are presented to present the effects of surface energies on the behavior of functionally graded (FG) film, whose effective elastic moduli of its bulk material are represented by the simple power law. The proposed model is then used for a comparison between the continuum analysis of FG ultra-thin plates with and without incorporating surface effects. Also, the transverse shear strain effect is studied by a comparison between the FG plate behavior based on Kirchhoff and Mindlin assumptions. In our analysis the residual surface tension under unstrained conditions and the surface Lame constants are expected to be the same for the upper and lower surfaces of the FG plate. The proposed model is verified by previous work.

• Korean Chemical Engineering Research
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• 제57권3호
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• pp.368-371
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• 2019

Using first principles calculations we investigated the thermomechanical stability of spent nuclear fuels (SNF), especially how mechanical properties of $UO_2$, such as, bulk, shear and Young's moduli and Poisson's ratio vary through alpha-decay of U into Th with generation of He gas. Our results indicate that substitution of U by Th through alpha decay ($U_{1-x}Th_xO_2$) does not significantly affect the stability of the grain in a fuel matrix. In addition, we studied the transport properties of He in and boundaries of the $U_{1-x}Th_xO_2$ grain. Helium preferentially resides at the grain boundaries through diffusion. Our study can contribute to substantial reduction of environmentally risk and enhancement of our sustainability by safe control of radioactive materials.

• Coupled systems mechanics
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• 제11권5호
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• pp.411-438
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• 2022

In this paper, we present the parameter identification for inelastic and multi-scale problems. First, the theoretical background of several fundamental methods used in the upscaling process is reviewed. Several key definitions including random field, Bayesian theorem, Polynomial chaos expansion (PCE), and Gauss-Markov-Kalman filter are briefly summarized. An illustrative example is given to assimilate fracture energy in a simple inelastic problem with linear hardening and softening phases. Second, the parameter identification using the Gauss-Markov-Kalman filter is employed for a multi-scale problem to identify bulk and shear moduli and other material properties in a macro-scale with the data from a micro-scale as quantities of interest (QoI). The problem can also be viewed as upscaling homogenization.

• Bulletin of the Korean Chemical Society
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• 제6권1호
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• pp.45-50
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• 1985

The glass transition temperature, dynamic shear moduli, and bulk viscosities of PVC, filled with nickel particles, were investigated. The glass temperature of the composite increased with increasing filler concentration. The data were interpreted by assuming that the interaction between filler particles and the polymer matrix reduces molecular mobility and flexibility of the polymer chains in the vicinity of the interfaces. The relative modulus for the PVC/Ni composite system followed the Kerner equation. The relative viscosities were strongly temperature dependent and did not agree with the conventional viscosity predictions for suspensions. It is suggested that the filler has a twofold effect on the viscosity of the composite materials; one is due to its mechanical presence and the other is due to modification of part of the polymer matrix caused by interaction. This phenomenon is approximately bounded by Kerner's predictions for suspensions.

• 대한기계학회논문집A
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• 제39권2호
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• pp.129-135
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• 2015

본 연구는 마이크로미터 크기의 실리카 입자로 강화된 에폭시 복합재료 시편의 실리카 함량에 따른 열안정성을 기계적 물성인 영률 측정과 열적 물성인 열팽창계수 측정을 통해 평가하였다. 실험한 범위인 에폭시 중량 대비 실리카 함량 70 wt% 시편까지 실리카 함량에 따라 열팽창계수는 지속적으로 감소하여 약 25%까지 감소하여 열안정성이 개선되었으며, 영률 역시 점진적으로 증가하여 약 51%까지 증가하였다. 또한, 기존 연구에서 제시된 몇 가지 경험식 모델을 통한 해석결과를 실험결과와 비교하였는데, 열팽창계수 측정결과는 체적탄성계수와 전단탄성계수를 고려한 Kerner 모델의 결과와 잘 맞았으며, 영률 결과는 마이크로 크기 충전제에 대한 수치모델인 Mori-Tanaka 모델과 잘 부합하였다. 이를 통해 복합재료의 열팽창 및 영률 예측을 위한 모델에서는 체적분률 외에 충전제 함유량에 따른 추가적인 물성 변화를 고려해야 함을 알 수 있었다.