• Structural Engineering and Mechanics
• /
• 제57권5호
• /
• pp.897-920
• /
• 2016

The objective is to determine the mechanical properties of the composites formed in two types, theoretically. The first composite includes micro-particles in a matrix while the second involves long, thin fibers. A fictitious, homogeneous, linear-elastic and isotropic single material named as effective material is considered during calculation which is based on the equality of the strain energies of the composite and effective material under the same loading conditions. The procedure is carried out with volume integrals considering a unique strain energy in a body. Particularly, the effective elastic shear modulus has been calculated exactly for small-particle composites by the same procedure in order to determine of bulk modulus thereof. Additionally, the transverse shear modulus of fiber reinforced composites has been obtained through a simple approach leading to the practical equation. The results have been compared not only with the outcomes in the literature obtained by different method but also with those of finite element analysis performed in this study.

• Journal of the Korean Physical Society
• /
• 제73권10호
• /
• pp.1452-1457
• /
• 2018

Inclusion of the ground state of $^{16}O$ is investigated for a study of elastic ${\alpha}-^{12}C$ scattering for the l = 0 channel at low energies in effective field theory. We employ a Markov chain Monte Carlo method for the parameter fitting and find that the uncertainties of the fitted parameters are significantly improved compared to those of our previous study. We then calculate the asymptotic normalization constants of the $0^+$ states of $^{16}O$ and compare them with the experimental data and the previous theoretical estimates. We discuss implications of the results of the present work.

• 대한기계학회논문집A
• /
• 제23권6호
• /
• pp.968-978
• /
• 1999

The effective elastic properties of materials containing spherical inclusions were calculated by the elastic wave scattering theory. In the formulation additional scattering fields by the presence of random multiple scatterers that affects the effective properties were found by the single scattering approximation. In calculating the scattering fields the ensemble average on the displacements and strains inside the scatterer was found from the static approximation at long wavelength limit. The displacements were assumed to be equal to the incident field, while the strains were calculated by Eshelby's equivalent inclusion principle on the single inclusion problem. Four different models were considered and they reflected different degrees of multiple scattering effects based on the approximation introduced in the process of embedding the inclusion in the matrix. The expressions for the effective elastic constants were given in each model, and their relations to the results obtained from other scattering theory and elasticity theory were discussed. The theoretical predictions were compared with experimental results on the epoxy matrix composites containing tungsten particles of different sizes and volume fractions

• Structural Engineering and Mechanics
• /
• 제12권1호
• /
• pp.17-34
• /
• 2001

The frictionless contact problem for a layered composite which consists of two elastic layers having different elastic constants and heights resting on two simple supports is considered. The external load is applied to the layered composite through a rigid stamp. For values of the resultant compressive force P acting on the stamp vertically which are less than a critical value $P_{cr}$ and for small flexibility of the layered composite, the continuous contact along the layer - the layer and the stamp - the layered composite is maintained. However, if the flexibility of the layered composite increases and if tensile tractions are not allowed on the interface, for P > $P_{cr}$, a separation may be occurred between the stamp and the layered composite or two elastic layers interface along a certain finite region. The problem is formulated and solved for both cases by using Theory of Elasticity and Integral Transform Technique. Numerical results for $P_{cr}$, separation initiation distance, contact stresses, distances determining the separation area, and the vertical displacement in the separation zone between two elastic layers are given.

• Structural Engineering and Mechanics
• /
• 제15권3호
• /
• pp.331-344
• /
• 2003

The plane contact problem for two infinite elastic layers whose elastic constants and heights are different is considered. The layers lying on a Winkler foundation are acted upon by symmetrical distributed loads whose lengths are 2a applied to the upper layer and uniform vertical body forces due to the effect of gravity in the layers. It is assumed that the contact between two elastic layers is frictionless and that only compressive normal tractions can be transmitted through the interface. The contact along the interface will be continuous if the value of the load factor, ${\lambda}$, is less than a critical value. However, interface separation takes place if it exceeds this critical value. First, the problem of continuous contact is solved and the value of the critical load factor, ${\lambda}_{cr}$, is determined. Then, the discontinuous contact problem is formulated in terms of a singular integral equation. Numerical solutions for contact stress distribution, the size of the separation areas, critical load factor and separation distance, and vertical displacement in the separation zone are given for various dimensionless quantities and distributed loads.

• 한국세라믹학회지
• /
• 제52권6호
• /
• pp.417-422
• /
• 2015

In this study, we investigate the effect of porous $Al_2O_3$ substrate on the strengths of asymmetric structures after we prepare such a structure consisting of a dense $Li_2ZrO_3$ top layer and porous $Al_2O_3$ substrate layer. The porosity and elastic modulus of the substrate layer are controlled by sintering temperature, which has three values of 1150, 1250 and $1350^{\circ}C$. The porosity is controlled in the range of ~ 30-50 vol%, elastic modulus is ~80-120 GPa and elastic mismatch $E_s/E_c$ is ~ 0.6-1.0. Indentation stress-strain curves are obtained and analyzed to evaluate the yield stress of the asymmetric structure by concentrated local loading of WC balls. Conventional flexural strengths are also obtained to evaluate the strength of the asymmetric structure. The results indicate that the local yield strength of the asymmetric structure has mid-values between the top and the substrate layer; however, the flexural strength of the asymmetric structure are mainly influenced by elastic modulus and strength of the substrate.

• 한국지반공학회논문집
• /
• 제28권8호
• /
• pp.65-78
• /
• 2012

탄성계수값은 퇴적암의 일축압축시험을 통하여 응력수준에 따라 넓은 범위로 변하며 거동특성도 다양하게 발현되고 있다. 즉 탄성계수는 정수가 아닌 변수로 볼 수 있는 것이다. 실무에서는 참고자료 및 실험값으로 사용하고 있으나 그 값은 사용하중 수준에서는 매우 큰 값을 채용하고 있다. 설계 및 시공과정에서는 재하-재(再)재하(loading-reloading) 시험을 통한 값을 사용하여 적절하고 합리적인 결과가 도출되어야 할 것이다. 또한 사용하중의 낮은 응력수준에서 발현되는 탄성계수값의 거동특성 역시 유의하여 보아야 할 점이다.

• Journal of the Korean Wood Science and Technology
• /
• 제43권2호
• /
• pp.177-185
• /
• 2015

The goal of this study is to evaluate the limitation of ASTM D 198 bending and ASTM D 3044 in determination of elastic modulus and shear modulus. Different material properties and span to depth ratios were used to analyze the effects of material property and testing conditions. The ratio of true elastic modulus to apparent elastic modulus evaluated from ASTM D 198 bending sharply decreased with increment of span to depth ratio. Shear modulus evaluated from ASTM D 198 bending decreased with increment of depth, whereas shear modulus evaluated from ASTM D 3044 was hardly influenced by increment of depth. Poisson's ratio influenced shear modulus from ASTM D 198 bending but did not influence shear modulus from ASTM D 3044. Different shearing factor was obtained for different depths of beams to correct shear modulus obtained from ASTM D 198 bending equivalent to shear modulus from theory of elasticity. Equivalent shear modulus of materials could be obtained by applying different shearing factors associated with beam depth for ASTM D 198 bending and correction factor for ASTM D 3044.

• 한국음향학회지
• /
• 제23권2호
• /
• pp.103-108
• /
• 2004

본 연구에서는 고상단결정법으로 성장시킨 PMN-32%PT 단결정의 모든 물성을 공진법을 이용하여 측정하였다. tetragonal 결정구조의 PMN-PT는 독립적인 물성으로 6개의 탄성상수, 3개의 압전상수, 2개의 유전상수를 가진다. 이상의 값들을 서로 다른 형태를 가진 6종류의 시편을 만들어 임피던스 분석기를 이용하여 각각의 시편의 진동모드별 전기임피던스를 측정하여 구하였다. 측정결과 일반 압전세라믹 보다 큰 전기기계결합계수 k/sub 33/ (∼85%)과 압전계수 d/sub 33/ (∼1200pC/N)을 가짐을 확인하였다. 측정한 값의 타당성은 측정시편의 유한요소해석을 통한 임피던스 스펙트럼과 상용 d/sub 33/ -meter측정결과와의 비교를 통해 확인하였다.

• 지질공학
• /
• 제13권2호
• /
• pp.227-238
• /
• 2003

암석의 점탄성적 성질에 기인하는 크리프 특성에 대한 이해는 일정하중 하에서 시간에 대한 변형으로 장기적인 지반거동을 예측할 수 있는 중요한 요소이다. 포항지역에 분포하는 제3기 두호층 이암의 크리프 특성을 파악하기 위하여 암석의 기본적인 물성, 역학적 특성 및 크리프 시험을 실시하였다. 대상 이암은 illite 및 chlorite 등 점토광물을 26% 함유하고 있어 큰 크리프 변형을 보였으며, 평균 일축압축강도는 $462{\;}kg/\textrm{cm}^2$ 이었는데, 크리프 시험은 일축압축강도의 40-70% 일정 응력수준에서 수행하였다. 시험 결과 얻어진 시간-변형률 곡선으로부터 암석의 크리프 특성을 규정하는 다양한 경험식 및 이론식의 크리프 상수를 도출하였는데, 그 중 Griggs 경험식 및 Burger 모델의 이론식이 이암의 크리프 특성을 가장 잘 반영하는 것으로 평가되었다. 또, 순간탄성변형률은 응력수준에 정비례하여 증가하였으나, 1차 크리프의 변형률 속도는 응력의 크기와 무관하게 시간 경과에 따라 비슷한 양상으로 감소하였다.