• 대한기계학회논문집A
• /
• 제24권6호
• /
• pp.1456-1469
• /
• 2000

Mechanical behaviors of uniaxially fiber-reinforced metal matrix composites under transverse loading conditions were studied at room and elevated temperatures. A mono-filament composite was selecte d as a representative analysis model with perfectly bonded fiber/matrix interface assumption. The elastic-plastic and visco-plastic models were investigated by both theoretical and numerical methods. The product of triaxiality factor and effective strain as well as stress components and strain energy was obtained as a function of location to estimate the failure sites in fiber-reinforced metal matrix composite. Results showed that fiber/ matrix interfacial debond plays a key role for local failure at the room temperature, while void creation and growth in addition to the interfacial debond are major concerns at the elevated temperature. It was also shown that there would be an optimal diameter of fiber for the strong fiber-reinforced metal matrix composite.

• 대한기계학회논문집A
• /
• 제27권11호
• /
• pp.1897-1906
• /
• 2003

A finite element analysis for near-net-shape forming of A16061 powder was performed under warm rubber isostatic pressing and warm die pressing. The advantages of warm compaction by rubber isostatic pressing were discussed to obtain a part with better density distributions. The shape of rubber mold was designed by determining a cavity shape that provides a desired shape of the final powder compact. To simulate densification and deformed shape of a powder compact during pressing, the elastoplastic constitutive equation based on yield function of Shima-Oyane was implemented into a finite element program(ABAQUS). The hyperelastic constitutive equation based on the Ogden strain energy Potential was employed to analyze nonlinear elastic response of rubber. Finite element results were compared with experimental data for Al6061 powder compacts under warm die pressing and warm isostatic pressing.

• Structural Engineering and Mechanics
• /
• 제28권3호
• /
• pp.281-294
• /
• 2008

In this paper, linear elastic isotropic structures under the effects of both stochastic operators and stochastic excitations are studied. The analysis utilizes the spectral stochastic finite elements (SSFEM) with its two main expansions namely; Neumann and Homogeneous Chaos expansions. The random excitation and the random operator fields are assumed to be second order stochastic processes. The formulations are obtained for the system solution of the two dimensional problems of plane strain and plate bending structures under stochastic loading and relevant rigidity using the previously mentioned expansions. Two finite element programs were developed to incorporate such formulations. Two illustrative examples are introduced: the first is a reinforced concrete culvert with stochastic rigidity subjected to a stochastic load where the culvert is modeled as plane strain problem. The second example is a simply supported square reinforced concrete slab subjected to out of plane loading in which the slab flexural rigidity and the applied load are considered stochastic. In each of the two examples, the first two statistical moments of displacement are evaluated using both expansions. The probability density function of the structure response of each problem is obtained using Homogeneous Chaos expansion.

• Coupled systems mechanics
• /
• 제11권2호
• /
• pp.167-198
• /
• 2022

In this paper we deal with classical instability problems of heterogeneous Euler beam under conservative loading. It is chosen as the model problem to systematically present several possible solution methods from simplest deterministic to more complex stochastic approach, both of which that can handle more complex engineering problems. We first present classical analytic solution along with rigorous definition of the classical Euler buckling problem starting from homogeneous beam with either simplified linearized theory or the most general geometrically exact beam theory. We then present the numerical solution to this problem by using reduced model constructed by discrete approximation based upon the weak form of the instability problem featuring von Karman (virtual) strain combined with the finite element method. We explain how such numerical approach can easily be adapted to solving instability problems much more complex than classical Euler's beam and in particular for heterogeneous beam, where analytic solution is not readily available. We finally present the stochastic approach making use of the Duffing oscillator, as the corresponding reduced model for heterogeneous Euler's beam within the dynamics framework. We show that such an approach allows computing probability density function quantifying all possible solutions to this instability problem. We conclude that increased computational cost of the stochastic framework is more than compensated by its ability to take into account beam material heterogeneities described in terms of fast oscillating stochastic process, which is typical of time evolution of internal variables describing plasticity and damage.

• 한국산림과학회지
• /
• 제104권2호
• /
• pp.198-205
• /
• 2015

본 연구에서는, 수종별 벌채부산물의 압축 변형 특성을 규명함으로써 벌채부산물을 압축할 수 있는 장비의 개발을 위한 기초자료로 사용하고자 하였다. 만능재료시험기(Universial Testing Machine)를 이용한 압축재하 시험장치로 벌채부산물의 3회 반복 압축-변형 특성시험을 통해 수종별 벌채부산물의 목표밀도 압축에 필요한 소요압축력을 구하였다. 리기다소나무(Pinus rigida), 잣나무(Pinus koraiensis), 신갈나무(Quercus mongolica)의 반복 압축 시 응력-변형률 자료를 기반으로 지수함수 형태로 모델화한 것의 물리적 특성 값을 분석한 결과, 목표밀도 $350kg/m^3$과 $400kg/m^3$ 모두 벌채부산물 기계적 성질에 따른 응력계수는 압축횟수가 늘어나면서 줄어드는 경향을 나타냈으며, 반대로 변형율 계수는 늘어나는 경향을 나타냈다. 모델화를 통해 압축횟수가 증가할수록 압축에 요구되는 소요응력은 줄어들고, 변형율 변화에 비해 응력증가가 커지는 특성이 있으므로, 적절한 초기 압축력이 벌채부산물의 목표밀도 달성에 중요한 변수임을 확인할 수 있었다.

• 한국전기전자재료학회:학술대회논문집
• /
• 한국전기전자재료학회 2001년도 하계학술대회 논문집
• /
• pp.689-692
• /
• 2001

In this paper, the pizoelectric and dielectric properties of 0.95Pb(ZrxTil-x)O$_3$- 0.05Pb(Mn$\_$0.2/Fe$\_$0.4/W$\_$0.4/)O$_3$piezoelectric ceramics is investigated as a function of Zr/Ti mole ratio. Also, MPB(Morphotropic Phase Boundary) and optimal sintering temperature is studied using XRD and SEM. As a results, when Zr/Ti mole ratio is 52/48, electromechanical coupling factor, k$\_$p/, is 58[%], permittivity, $\varepsilon$$\^$T/$\_$33//$\varepsilon$0, is 1360 and piezoelectric strain constant, d$\_$33/ is 265[pC/N] and the piezoelectric and dielectric properties become maximum. Phase transition temperature of its ternary piezoelectric system is about 350[$^{\circ}C$]. From the XRD analysis, when Zr/Ti mole ratio is 52/48, tetragonal phase transits to rhombohedral phase. Also, From measuring results of the sintering density, when sintering temperature is 1050[$^{\circ}C$], sintering density become maximum and is about 7930[kg/㎥], and average grain size is about 2-3[$\mu\textrm{m}$].

• 한국정밀공학회지
• /
• 제16권6호
• /
• pp.141-147
• /
• 1999

Optical disk technology with a laser beam for data recording and retrieval is one of the most promising route for high density information storage in multimedia era. As the storage density and data transfer rates are increased, mechanical issues, mainly noise and vibration, become critical. Rubber materials are extensively used in various machine design application, mainly for vibration/shock/noise control devices. Over the years an enormous effort has been put into developing procedures to provide properties of rubber components with complex shape and under pre-deformed state. In this paper, non-linear large deformations of a rubber mount for optical disk drive were investigated using the finite element method. A tension test of rubber material was performed, to calculate a strain energy function. According to the pre-deformed state, the variation of rubber mount stiffness were calculated and the reliability of numerical results were checked by compared with the measuring the deflection values. Also, the effects of the pre-deformed rubber mount on the system dynamic characteristics were investigated and the relation between the static stiffness variation of rubber mount and the natural frequence variation of system was discussed.

• Elastomers and Composites
• /
• 제38권3호
• /
• pp.195-205
• /
• 2003

본 논문에서는 미드솔에 에어싸이클 펌프를 장착한 골프화에 대한 해석적 방법과 설계기술을 보여준다. 골프화는 유한요소법으로 모델링 하였으며, 더 나은 설계를 위해서 신발을 구성하는 미드솔과 아웃솔의 형상을 고려하였다. 또한 미드솔에 있는 에어싸이클 펌프의 최적의 크기와 형상을 조사하였다. 표준 인체 압력 값을 유한요소해석의 경계 값으로 채택하였다. 오그덴 타입의 변형률에너지 함수의 미지 상수는 인장시험에 따라서 조사하였다. 비선형해석을 위해서 상용 유한요소해석 프로그램 MARC V7.3을 이용하여 미드솔과 아웃솔의 변형률과 부피 변화 값을 각각 구하였다. 미드솔과 아웃솔 유한요소법에 의해 구해진 값은 탄성체의 특성에 따라서 달리 나타난다. 여기에 보인 결과는 보다 나은 골프화 해석에 사용될 것이다. 더욱이, 결과 간들은 보다 효과적인 방법을 개발하기 위한 방법으로 신발산업체에 사용되어 질 수 있다.

• Journal of Mechanical Science and Technology
• /
• 제14권1호
• /
• pp.39-47
• /
• 2000

Bifurcation intability modes of axially compressed circular cylindrical shell are investigated in the limit of zero thickness (i.e., h (thickness) ${\rightarrow}$ 0) analytically, adopting the general stability theory developed by Triantafyllidis and Kwon (1987) and Kwon (1992). The primary state of the shell is obtained in a closed form using the asymptotic technique, and then the straight-forward bifurcation analysis is followed according to the general stability theory to obtain the bifurcation modes in the limit of zero thickness in a full analytical manner. Hence, the closed form bifurcation solution is obtained. Finally, the result is compared with the classical one.

• 한국전산구조공학회:학술대회논문집
• /
• 한국전산구조공학회 2005년도 춘계 학술발표회 논문집
• /
• pp.335-342
• /
• 2005

Using higher order Mindlin plates and piezoelectric materials, eigenvalue problems are considered. Since piezoelectric crystal resonators produce a proper amount of electric signal for a thickness-shear frequency, the objective is to decouple the thickness-shear mode from the others. Design variables are the bulk material densities corresponding to the mass of masking plates for electrodes. The design sensitivity expressions for the thickness-shear frequency and mode shape vector are derived using direct differentiation method(DDM). Using the developed design sensitivity analysis (DSA) method, we formulate a topology optimization problem whose objective function is to maximize the thickness-shear component of strain energy density at the thickness-shear mode. Constraints are the allowable volume and area of masking plate. Numerical examples show that the optimal design yields an improved mode shape and thickness-shear energy.