• 제목/요약/키워드: Elastic constants

검색결과 266건 처리시간 0.024초

Modified Lysmer's analog model for two dimensional mat settlements under vertically uniform load

  • Chang, Der-Wen;Hung, Ming-He;Jeong, Sang-Seom
    • Geomechanics and Engineering
    • /
    • 제25권3호
    • /
    • pp.221-231
    • /
    • 2021
  • A two dimensional model of linearly elastic soil spring used for the settlement analysis of the flexible mat foundation is suggested in this study. The spring constants of the soils underneath the foundation were modeled assuming uniformly vertical load applied onto the foundation. The soil spring constants were back calculated using the three-dimensional finite element analysis with Midas GTS NX program. Variation of the soil spring constants was modeled as a two-dimensional polynomial function in terms of the normalized spatial distances between the center of foundation and the analytical points. The Lysmer's analog spring for soils underneath the rigid foundation was adopted and calibrated for the flexible foundation. For validations, the newly proposed soil spring model was incorporated into a two dimensional finite difference analysis for a square mat foundation at the surface of an elastic half-space consisting of soft clays. Comparative study was made for elastic soils where the shear wave velocity is 120~180 m/s and the Poisson's ratio varies at 0.3~0.5. The resulting foundation settlements from the two dimensional finite difference analysis with the proposed soil springs were found in good agreement with those obtained directly from three dimensional finite element analyses. Details of the applications and limitations of the modified Lysmer's analog springs were discussed in this study.

Acoustic and Elastic Properties of the Southeastern Yellow Sea Mud, Korea

  • Kim, Gil-Young
    • The Journal of the Acoustical Society of Korea
    • /
    • 제25권2E호
    • /
    • pp.49-55
    • /
    • 2006
  • Compressional wave velocity (Vp), shear wave velocity (Vs), elastic and physical properties, and electrical resistivity for two core sediments obtained from Southeastern Yellow Sea Mud (SEYSM) were measured and computed. The sediments consist of homogeneous mud (mostly silt and clay) with shells and shell fragments. As a result, the mean grain size is uniform ($7.5-8.5{\Phi}$ throughout the core sediments. However, physical properties such as wet bulk density and porosity show slightly increasing and decreasing patterns with depth, compared to the mean grain size. The compressional (about 1475 m/s in average) and shear wave (about 60 m/s in average) velocities with depth accurately reflect the pattern of wet bulk density and porosity. Electrical resistivity is more closely correlated with compressional wave velocity than physical properties. The computed Vp/Vs and Poisson's ratios are relatively higher (more than 10) and lower (approximately 0.002) than Hamilton's (1979) data, respectively, suggesting the typical characteristics of soft and fully water-saturated marine sediments. Thus, the Vp/Vs ratio in soft and unconsolidated sediments is not likely sufficient to examine lithology and sediment properties. Relationships between the elastic constant and physical properties are correlated well. The elastic constants (Poisson's ratio, bulk modulus, shear modulus) given in this paper can be used to characterize soft marine sediments saturated with seawater.

원자로 용접부의 국부적 미세조직 변화에 따른 동적탄성계수 측정 (Measurement of Dynamic Elastic Constants of RPV Steel Weld due to Localized Microstructural Variation)

  • 정용무;김주학;홍준화;정현규
    • 비파괴검사학회지
    • /
    • 제20권5호
    • /
    • pp.390-396
    • /
    • 2000
  • 원자로 재료인 SA 508 Class 3 강용접부 및 열영향부 모사 시험편에 대해서 초음파공명분광법으로 동적탄성계수를 측정하였다. 등방성 탄성계수를 가정하여 초기 추정 탄성 계수, $c_{11},\;c_{12}$$c_{44}$로부터 장방형 시편의 공명 주파수를 계산하였으며 계산된 주파수와 초음파공명분광법으로 측정된 주파수를 비교, 반복 수렴 절차를 거쳐 정밀한 탄성계수를 구했다. 열처리 조건의 차이 및 미세 조직의 차이에 따라 영률 및 전단 계수의 차이가 확실하게 나타났다. 미세한 베이나이트 조직에서의 영률 및 전단 계수는 조대한 마르텐사이트 조직보다 높았으며 이러한 경향은 미세 경도 시험 등의 다른 실험 결과와도 일치하였다.

  • PDF

구조연성을 고려한 복합재료 상자형 보의 강성계수 예측에 관한 연구 (A Study on the Calculation of Stiffness Properties for Composite Box-Beams with Elastic Couplings)

  • 정성남;동경민
    • 한국복합재료학회:학술대회논문집
    • /
    • 한국복합재료학회 2001년도 춘계학술발표대회 논문집
    • /
    • pp.147-150
    • /
    • 2001
  • In the present work, a linear static analysis is presented for thin-walled prismatic box-beams made of generally anisotropic materials. A mixed beam theory has been used to model and carry out the analysis. Three different constitutive relations are assessed into the beam formulation. Simple layup cases having symmetric or anti-symmetric configuration have been chosen and tested to clearly show the effects of elastic couplings of the beam. Both 2D and 3D finite element structural analysis using the MSC/NASTRAN has been performed to validate the current analytical results. Results show that appropriate assumptions for the constitutive equations are important and prerequisite for the accurate prediction of beam stiffness constants and also for the beam behavior.

  • PDF

Determination of the elastic properties in CFRP composites: comparison of different approaches based on tensile tests and ultrasonic characterization

  • Munoz, Victor;Perrin, Marianne;Pastor, Marie-Laetitia;Welemane, Helene;Cantarel, Arthur;Karama, Moussa
    • Advances in aircraft and spacecraft science
    • /
    • 제2권3호
    • /
    • pp.249-261
    • /
    • 2015
  • The mechanical characterization of composite materials is nowadays a major interest due to their increasing use in the aeronautic industry. The design of most of these materials is based on their stiffness, which is mainly obtained by means of tensile tests with strain gauge measurement. For thin laminated composites, this classical method requires adequate samples with specific orientation and does not provide all the independent elastic constants. Regarding ultrasonic characterization, especially immersion technique, only one specimen is needed and the entire determination of the stiffness tensor is possible. This paper presents a study of different methods to determine the mechanical properties of transversely isotropic carbon fibre composite materials (gauge and correlation strain measurement during tensile tests, ultrasonic immersion technique). Results are compared to ISO standards and manufacturer data to evaluate the accuracy of these techniques.

Thick laminated circular plates on elastic foundation subjected to a concentrated load

  • Sheng, Hongyu
    • Structural Engineering and Mechanics
    • /
    • 제10권5호
    • /
    • pp.441-449
    • /
    • 2000
  • In this study, the state equation for axisymmetric bending of laminated transversely isotropic circular plates on elastic foundation is established on the basis of three-dimensional elasticity. By using the expansions of Bessel functions, an analytical solution of the problem is presented. As a result, all the fundamental equations of three-dimensional elasticity can be satisfied exactly and all the independent elastic constants can be fully taken into account. Furthermore, the continuity conditions at the interfaces of plies can also be satisfied.

브릴루앙 산란 실험을 이용한 이온빔 보조 증착법의 Cr 박막의 탄성특성 (Elastic properties of ion-assisted Cr films measured by brillouin light scattering)

  • 이석목;황보창권;최동철
    • 한국광학회지
    • /
    • 제6권1호
    • /
    • pp.50-55
    • /
    • 1995
  • Ar이온빔의 보조 증착법으로 soda-lime유리판에 증착한 Cr박막을 브릴루앙 산란 실험을 통하여 박막의 탄성특성을 조사하였다. 박막증착시 사용된 이온의 전류 밀도가 증가할 수록 박막의 탄성계수가 증가하였으며 박막의 탄성특성이 bulk의 특성에 근접하였다. $400\muA/cm^{2}$의 이온전류밀도의 이온빔의 보조 증착으로 제작된 Cr박막의 탄성계수는 $c_{11}=296, c_{13}=83, c_{33}=289$, 그리고 $c_{55}=c_{44}=108(\times10^9/N/m^{2}}$이 었으며 이는 bulk의 값들에 비해 5% 감소한 것이다.

  • PDF

Generalized Rayleigh wave propagation in a covered half-space with liquid upper layer

  • Negin, Masoud
    • Structural Engineering and Mechanics
    • /
    • 제56권3호
    • /
    • pp.491-506
    • /
    • 2015
  • Propagation of the generalized Rayleigh waves in an initially stressed elastic half-space covered by an elastic layer is investigated. It is assumed that the initial stresses are caused by the uniformly distributed normal compressional forces acting on the face surface of the covering layer. Two different cases where the compressional forces are "dead" and "follower" forces are considered. Three-dimensional linearized theory of elastic waves in initially stressed bodies in plane-strain state is employed and the elasticity relations of the materials of the constituents are described through the Murnaghan potential where the influence of the third order elastic constants is taken into consideration. The dispersion equation is derived and an algorithm is developed for numerical solution to this equation. Numerical results for the dispersion of the generalized Rayleigh waves on the influence of the initial stresses and on the influence of the character of the external compressional forces are presented and discussed. These investigations provide some theoretical foundations for study of the near-surface waves propagating in layered mechanical systems with a liquid upper layer, study of the structure of the soil of the bottom of the oceans or of the seas and study of the behavior of seismic surface waves propagating under the bottom of the oceans.