• Title/Summary/Keyword: transversely isotropic

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Method of Elastic Constant Measurement for Transversely Isotropic Rocks: Application to Banded Gneiss of the Onyang Region (온양지역에 분포하는 호상편마암을 이용한 평면 이방성 암석의 탄성상수 측정방법)

  • Jang, Hyun-Sic;Lee, Ok-Top;Jang, Bo-An
    • The Journal of Engineering Geology
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    • v.22 no.3
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    • pp.309-321
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    • 2012
  • Elastic constants were measured for 70 samples of transversely isotropic banded gneiss from the Onyang region. Anisotropic angles of samples are $0^{\circ}$, $15^{\circ}$, $30^{\circ}$, $45^{\circ}$, $60^{\circ}$, $75^{\circ}$ and $90^{\circ}$. Exact values of $E_2$ and ${\nu}_{21}$ can be measured from samples with anisotropic angles of $0^{\circ}$ and those of $E_1$ and ${\nu}_{12}$ from samples with anisotropic angles of $90^{\circ}$. These values are set as reference values. Elastic constants measured from samples with anisotropic angles of $15^{\circ}$, $30^{\circ}$, $45^{\circ}$, $60^{\circ}$, and $75^{\circ}$, using the methods proposed by Jang et al. (2001) and Park et al. (2008), are compared with the reference values to examine the effectiveness of the two methods. $E_1$ were measured correctly from samples with anisotropic angles of $60^{\circ}$ and $75^{\circ}$, and $E_2$ from samples with anisotropic angles of $15^{\circ}$ and $30^{\circ}$, when using the method suggested by Jang et al. (2001). $E_1$ were measured correctly from samples with anisotropic angles of $45^{\circ}$ and $60^{\circ}$, and $E_2$ from samples with anisotropic angles of $15^{\circ}$, $30^{\circ}$, and $60^{\circ}$, when using the method proposed by Park et al. (2008). The effectiveness of the two methods was determined by error rates between exact values and measured values. The effectiveness of the two methods was similar. However, the method suggested by Jang et al. (2001) may be more effective in measuring $E_1$, while the method suggested by Park et al. (2008) may be more effective in measuring $E_2$.

Acceleration of Anisotropic Elastic Reverse-time Migration with GPUs (GPU를 이용한 이방성 탄성 거꿀 참반사 보정의 계산가속)

  • Choi, Hyungwook;Seol, Soon Jee;Byun, Joongmoo
    • Geophysics and Geophysical Exploration
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    • v.18 no.2
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    • pp.74-84
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    • 2015
  • To yield physically meaningful images through elastic reverse-time migration, the wavefield separation which extracts P- and S-waves from reconstructed vector wavefields by using elastic wave equation is prerequisite. For expanding the application of the elastic reverse-time migration to anisotropic media, not only the anisotropic modelling algorithm but also the anisotropic wavefield separation is essential. The anisotropic wavefield separation which uses pseudo-derivative filters determined according to vertical velocities and anisotropic parameters of elastic media differs from the Helmholtz decomposition which is conventionally used for the isotropic wavefield separation. Since applying these pseudo-derivative filter consumes high computational costs, we have developed the efficient anisotropic wavefield separation algorithm which has capability of parallel computing by using GPUs (Graphic Processing Units). In addition, the highly efficient anisotropic elastic reverse-time migration algorithm using MPI (Message-Passing Interface) and incorporating the developed anisotropic wavefield separation algorithm with GPUs has been developed. To verify the efficiency and the validity of the developed anisotropic elastic reverse-time migration algorithm, a VTI elastic model based on Marmousi-II was built. A synthetic multicomponent seismic data set was created using this VTI elastic model. The computational speed of migration was dramatically enhanced by using GPUs and MPI and the accuracy of image was also improved because of the adoption of the anisotropic wavefield separation.

A three-dimensional finite-element analysis of influence of splinting in mandibular posterior implants (스프린팅이 하악 구치부 임플랜트 보철물의 응력분산에 미치는 영향에 관한 삼차원 유한요소분석 연구)

  • Baik, Sang-Hyun;Jang, Ik-Tae;Kim, Sung-Kyun;Koak, Jai-Young;Heo, Seong-Joo
    • The Journal of Korean Academy of Prosthodontics
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    • v.46 no.2
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    • pp.157-168
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    • 2008
  • Statement of problem: Over the past two decades, implant supported fixed prosthesis have been widely used. However, there are few studies conducted systematically and intensively on the splinting effect of implant systems in mandible. Purpose: The purpose of this study was to investigate the changes in stress distributions in the mandibular implants with splinting or non-splinting crowns by performing finite element analysis. Materials and methods: Cortical and cancellous bone were modeled as homogeneous, transversely isotropic, linearly elastic. Perfect bonding was assumed at all interfaces. Implant models were classified as follows. Group 1: $Br{{\aa}}nemark$ length 8.5mm 13mm splinting type Group 2: $Br{{\aa}}nemark$ length 8.5mm 13mm Non-splinting type Group 3: ITI length 8.5mm 13mm splinting type Group 4: ITI length 8.5mm 13mm Non-splinting type An load of 100N was applied vertically and horizontally. Stress levels were calculated using von Mises stresses values. Results: 1. The stress distribution and maximum von Mises stress of two-length implants (8.5mm, 13mm) was similar. 2. The stress of vertical load concentrated on mesial side of implant while the stress of horizontal load was distributed on both side of implant. 3. Stress of internal connection type was spreading through abutment screw but the stress of external connection type was concentrated on cortical bone level. 4. Degree of stress reduction was higher in the external connection type than in the internal connection type.