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Study on Standardization of Bender Elements Test Method

Research Project

Project/Area Number 16560427
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Geotechnical engineering
Research InstitutionKitami Institute of Technology

Principal Investigator

YAMASHITA Satoshi  Kitami Institute of Technology, Faculty of Engineering, Associate Professor, 工学部, 助教授 (00174673)

Co-Investigator(Kenkyū-buntansha) NAKATA Yukio  Yamaguchi University, Faculty of Engineering, Professor, 工学部, 助教授 (90274183)
KAWAGUCHI Takayuki  Hakodate National College of Technology, Research Associate, 助手 (20310964)
Project Period (FY) 2004 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥3,700,000 (Direct Cost: ¥3,700,000)
Fiscal Year 2005: ¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 2004: ¥2,100,000 (Direct Cost: ¥2,100,000)
KeywordsBender Element / Shear Wave Velocity / Shear Modulus / Geomaterial / Test Procedure / Round-Robin Test / ベンターエレメント / 砂質土 / 粘性土 / 国際一斉試験 / 室内土質試験 / 標準化
Research Abstract

During a period of three years from 2003 to 2005, a series of international round-robin tests on Toyoura sand using bender elements was performed by participation of twenty-three laboratories in eleven countries. The program aimed at providing a valuable data to develop the recommendation for procedures referred to the bender element test. The outcomes may be summarized in the followings :
1.Results on rigid boundary apparatus exhibited higher scatter distributions. The reasons seemed the effects of friction of lateral face, near-field-effect due to short tip-to-tip distance, compression wave and so on.
2.Identification of travel time.
(1)Start-to-start is simple and popular techniques, and the scatter was relatively small, and the results corresponded to others tests results. However, it is difficult to find the first arrival point depending on the waves due to the near field effect and so on. Therefore, to eliminate the effects, it is necessary to use several input frequencies.
(2)Peak-to-peak may provide reasonable data independent of the effect of near field effect, when the frequencies of input and received waves are the same. However, the frequencies of input and received waves are not the same. Therefore, it is necessary to use several input frequencies, to find a relevant frequency.
(3)Cross correlation and Frequency domain techniques have the advantage that it can be automated and hence have potential to provide user independent results. However, there is a possibility of underestimate of shear modulus depending on waves. So, educated judgment is required in interpreting the cross correlation peaks and frequency domain to get the correct time delay.
3.Based on the outcome from the program, recommendation for procedures referred to the bender element test was developed.

Report

(3 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • Research Products

    (59 results)

All 2006 2005 2004

All Journal Article (59 results)

  • [Journal Article] ベンダーエレメント付予圧密容器の開発2006

    • Author(s)
      川村 龍平
    • Journal Title

      平成17年度土木学会北海道支部論文報告集 62(CD-ROM)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] 種々の粘性土におけるせん断弾性係数の異方性2006

    • Author(s)
      堀 智仁
    • Journal Title

      地盤工学会北海道支部技術報告集 46

      Pages: 91-98

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] 地盤材料の弾性係数における異方性に関する考察2006

    • Author(s)
      川村 龍平
    • Journal Title

      地盤工学会北海道支部技術報告集 46

      Pages: 153-156

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] 堆積構造の異方性が砂質土および粘性土の擬似弾性係数に及ぼす影響2006

    • Author(s)
      堀 智仁
    • Journal Title

      土木学会論文報告集C 62・1

      Pages: 97-109

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 3種類の粘性土のせん断弾性係数の異方性2006

    • Author(s)
      堀 智仁
    • Journal Title

      第41回地盤工学研究発表会講演集 41(印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] ベンダーエレメント試験による3方向のS波速度およびP波速度の測定2006

    • Author(s)
      平山 知暁
    • Journal Title

      第41回地盤工学研究発表会講演集 41(印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] BE付予圧密容器を用いた弾性係数の異方性の評価2006

    • Author(s)
      川口 貴之
    • Journal Title

      第41回地盤工学研究発表会講演集 41(印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] しらすのせん断弾性係数に及ぼす細粒分の影響2006

    • Author(s)
      山田 卓
    • Journal Title

      第41回地盤工学研究発表会講演集 41(印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Anisotropic stress-strain behavior at small strain of clay by triaxial and bender element tests2006

    • Author(s)
      Satoshi Yamashita
    • Journal Title

      Geomechnics, Testing, Modeling, and Simulation II, ASCE, GSP (印刷中)

    • NAID

      120002830248

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Anisotropy of elastic moduli at small strain of sands and clays by bender element test2006

    • Author(s)
      Tomohito Hori
    • Journal Title

      Proceedings of International Symposium on Geomechanics and Geotechnics of Particulate Media (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Development of consolidometer with bender elements for preparing clay sample2006

    • Author(s)
      Kawamura, R., Kawaguchi, T, Ito, A., Sano, Y.
    • Journal Title

      Proceedings of the Hokkaido Branch of Japan Society of Civil Engineers 62(CD-ROM)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Anisotropy of shear modulus on various clays2006

    • Author(s)
      Hori, T., Yamashita, S., Suzuki, T.
    • Journal Title

      Proceedings of the Hokkaido Branch of Japanese Geotechnical Society 46

      Pages: 91-98

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On the anisotropy of elastic modulus of geomaterials2006

    • Author(s)
      Kawamura, R., Kawaguchi, T, Ito, A., Sano, Y.
    • Journal Title

      Proceedings of the Hokkaido Branch of Japanese Geotechnical Society 46

      Pages: 153-156

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Effect of fabric anisotropy on quasi-elastic modulus of sand and clay2006

    • Author(s)
      Hori, T., Yamashita, S., Yamaguchi, T., Suzuki, T.
    • Journal Title

      Journal of Geotechnical Engineering 62(1)

      Pages: 97-109

    • NAID

      10016742308

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Anisotropy of shear modulus on three kinds of clays2006

    • Author(s)
      Hori, T., Yamashita, S., Suzuki, T.
    • Journal Title

      Proceedings of the 41st Japanese National Conference on Geotechnical Engineering 41(in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Measurement of S-wave and P-wave velocities in three directions by bender element tests2006

    • Author(s)
      Hirayama, T., Hori, T., Yamashita, S., Suzuki, T.
    • Journal Title

      Proceedings of the 41st Japanese National Conference on Geotechnical Engineering 41(in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Evaluation of anisotropy of elastic modulus by using a consolidometer with bender elements for preparing clay sample2006

    • Author(s)
      Kawaguchi, T., Yamashita, S., Mitachi, T., Shibuya, S., Kawamura, R.
    • Journal Title

      Proceedings of the 41st Japanese National Conference on Geotechnical Engineering 41(in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Effect of fines content on shear modulus of Shirasu2006

    • Author(s)
      Yamada, S., Hyodo, M., Nakata, Y., Hyodo, T., Hamada, N
    • Journal Title

      Proceedings of the 41st Japanese National Conference on Geotechnical Engineering 41(in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Anisotropic stress-strain behavior at small strain of clay by triaxial and bender element tests2006

    • Author(s)
      Yamashita, S., Hori, T., Suzuki, T.
    • Journal Title

      Geomechnics II : Testing, Modeling, and Simulation, ASCE, GSP (in press)

    • NAID

      120002830248

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Anisotropy of elastic moduli at small strain of sands and clays by bender element test2006

    • Author(s)
      Hori, T., Yamashita, S., Suzuki, T.
    • Journal Title

      Proceedings of International Symposium on Geomechanics and Geotechnics of Particulate Media (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 堆積構造の異方性が砂質土および粘性土の擬似弾性係数に及ぼす影響2006

    • Author(s)
      堀 智仁
    • Journal Title

      土木学会論文報告集 813・III-74

      Pages: 125-138

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 三軸BE試験による豊浦砂の弾性係数の評価2005

    • Author(s)
      川口 貴之
    • Journal Title

      地盤工学会北海道支部技術報告集 45

      Pages: 89-94

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 堆積構造が異なる粘土供試体の弾性係数の異方性2005

    • Author(s)
      山口 岳志
    • Journal Title

      地盤工学会北海道支部技術報告集 45

      Pages: 179-186

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Bender/Extender Element試験によるS波およびP波速度の測定2005

    • Author(s)
      堀 智仁
    • Journal Title

      平成16年度土木学会北海道支部論文報告集 61(CD-ROM)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Recent developments in deformation and strength testing of geomaterials2005

    • Author(s)
      Satoru Shibuya
    • Journal Title

      Deformation Characteristics of Geomaterials 2

      Pages: 3-26

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary 2004 Annual Research Report
  • [Journal Article] Effects of initial and induced anisotropy on initial stiffness of sand by triaxial and bender elements test2005

    • Author(s)
      Satoshi Yamashita
    • Journal Title

      Geomechnics, Testing, Modeling, and Simulation, ASCE, GSP 143

      Pages: 350-369

    • NAID

      120005983935

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] ベンダーエレメント試験による砂・粘土混合土のせん断弾性係数の測定2005

    • Author(s)
      山田 卓
    • Journal Title

      第40回地盤工学研究発表会講演集 40

      Pages: 229-230

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] 排水クリープ挙動に着目した粘性土の弾性係数の支配要因に関する検討2005

    • Author(s)
      松田 圭大
    • Journal Title

      第40回地盤工学研究発表会講演集 40

      Pages: 329-330

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] 直交異方弾性体理論に基づく地盤材料の弾性係数に関する基礎的研究2005

    • Author(s)
      川口 貴之
    • Journal Title

      第40回地盤工学研究発表会講演集 40

      Pages: 391-392

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] 粘性土の擬似弾性係数に及ぼす構造異方性の影響2005

    • Author(s)
      山口 岳志
    • Journal Title

      第40回地盤工学研究発表会講演集 40

      Pages: 393-394

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] 神戸沖海底地盤から採取した洪積粘土の工学的性質の一様性2005

    • Author(s)
      蔡 鍾吉
    • Journal Title

      応用力学論文集 8

      Pages: 53-58

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] ベンダーエレメント試験によるS波およびP波速度の測定2005

    • Author(s)
      堀 智仁
    • Journal Title

      土木学会第60回年次学術講演会概要集 60

      Pages: 927-928

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] Drained and undrained elastic moduli of reconstituted clay2005

    • Author(s)
      Teruyuki Kawaguchi
    • Journal Title

      Proceedings of the 16th International Conference on Soil Mechanics and Geotechnical Engineering 1

      Pages: 397-400

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Geotechnical properties of liquefied volcanic soil ground by 2003 Tokachi-Oki Earthquake2005

    • Author(s)
      Satoshi Yamashita
    • Journal Title

      Proceedings of the 16th International Conference on Soil Mechanics and Geotechnical Engineering 4

      Pages: 2737-2740

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] Evaluation of elastic moduli of Toyoura sand in triaxial and bender element tests2005

    • Author(s)
      Kawaguchi, T., Mitachi, T., Sano, F., Obara, T., Matsuura, K.
    • Journal Title

      Proceedings of the Hokkaido Branch of Japanese Geotechnical Society 45

      Pages: 89-94

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Anisotropy of elastic modulus on clay specimen with different sedimentary structure2005

    • Author(s)
      Yamaguchi, T., Hori, T., Yamashita, S., Suzuki, T., Asano, S.
    • Journal Title

      Proceedings of the Hokkaido Branch of Japanese Geotechnical Society 45

      Pages: 179-186

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Measurement of S-wave and P-wave velocities by Bender/Extender element tests.2005

    • Author(s)
      Hori, T., Yamashita, S., Suzuki, T.
    • Journal Title

      Proceedings of the Hokkaido Branch of Japanese Geotechnical Society 61(CD-ROM)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Recent developments in deformation and strength testing of geomaterials2005

    • Author(s)
      Shibuya, S., Koseki, J., Kawaguchi, T.
    • Journal Title

      Deformation Characteristics of Geomaterials 2

      Pages: 3-26

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Effects of initial and induced anisotropy on initial stiffness of sand by triaxial and bender elements tests2005

    • Author(s)
      Yamashita, S., Hori, T., Suzuki, T.
    • Journal Title

      Geomechanics : Testing, Modeling, and Simulation, ASCE GSP 143

      Pages: 350-369

    • NAID

      120005983935

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Elastic shear modulus of sandy clay by bender element tests2005

    • Author(s)
      Yamada, S., Nakata, Y., Hyodo, M.
    • Journal Title

      Proceedings of the 40th Japanese National Conference on Geotechnical Engineering 40

      Pages: 229-230

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Influence factors on elastic modulus of clay considering the drained creep behavior2005

    • Author(s)
      Matsuda, K., Kawaguchi, T., Mitachi, T., Yamada, N.
    • Journal Title

      Proceedings of the 40th Japanese National Conference on Geotechnical Engineering 40

      Pages: 329-330

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A fundamental study on elastic moduli of geomaterials based on cross-anisotropic elasticity2005

    • Author(s)
      Kawaguchi, T., Mitachi, T., Shibuya, S., Sano, Y., Obara, T.
    • Journal Title

      Proceedings of the 40th Japanese National Conference on Geotechnical Engineering 40

      Pages: 391-392

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Effect of fabric anisotropy on pseudo-elastic modulus of clay2005

    • Author(s)
      Yamaguchi, T., Hori, T., Yamashita, S., Suzuki, T., Asano, S.
    • Journal Title

      Proceedings of the 40th Japanese National Conference on Geotechnical Engineering 40

      Pages: 393-394

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On the uniformity of engineering properties of Pleistocene clay retrieved at near-shore in Kobe2005

    • Author(s)
      Chae, J., Kawaguchi, T., Kato, S., Shibuya, S., Tanaka, Y.
    • Journal Title

      Journal of Applied Mechanics

      Pages: 53-58

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Measurement of S-wave and P-wave velocities by bender element tests2005

    • Author(s)
      Hori, T., Yamashita, S., Suzuki, T.
    • Journal Title

      Proceeding of the 60th JSCE Annual Meeting 60

      Pages: 927-928

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Drained and undrained elastic moduli of reconstituted clay2005

    • Author(s)
      Kawaguchi, T., Mitachi, T., Shibuya, S.
    • Journal Title

      Proceedings of the 16th International Conference on Soil Mechanics and Geotechnical Engineering 1

      Pages: 397-400

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Geotechnical properties of liquefied volcanic soil ground by 2003 Tokachi-Oki Earthquake2005

    • Author(s)
      Yamashita, S., Ito, Y., Hori, T., Suzuki, T., Murata, Y.
    • Journal Title

      Proceedings of the 16th International Conference on Soil Mechanics and Geotechnical Engineering 4

      Pages: 2737-2740

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Drained and undrained elastic moduli of reconstituted clay2005

    • Author(s)
      Takayuki Kawaguchi
    • Journal Title

      Proceedings of the 16th International Conference on Soil Mechanics and Geotechnical Engineering 1

      Pages: 397-400

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 三軸BE試験による豊浦砂の弾性係数の評価2005

    • Author(s)
      川口貴之
    • Journal Title

      地盤工学会北海道支部技術報告書 45

      Pages: 89-94

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 堆積構造が異なる粘土供試体の弾性係数の異方性2005

    • Author(s)
      山口岳志
    • Journal Title

      地盤工学会北海道支部技術報告書 45

      Pages: 179-186

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Bender/Extender Element試験によるS波およびP波速度の測定2005

    • Author(s)
      堀 智仁
    • Journal Title

      土木学会北海道支部平成16年度論文報告書 61(CD-ROM)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] ベンダーエレメント試験による砂・粘土混合土のせん断弾性係数の測定2005

    • Author(s)
      山田 卓
    • Journal Title

      第40回地盤工学研究発表会講演集 40(発表予定)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 粘性土の擬似弾性係数に及ぼす構造異方性の影響2005

    • Author(s)
      山口岳志
    • Journal Title

      第40回地盤工学研究発表会講演集 40(発表予定)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Geotechnical properties of liquefied volcanic soil ground by 2003 Tokachi-oki Earthquake2005

    • Author(s)
      Satoshi Yamashita
    • Journal Title

      Proceeding of the 16th International Conference on Soil Mechanics and Geotechnical Engineering (発表予定)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] セルフモニタリングベンダーエレメントの振動特性2004

    • Author(s)
      西田 浩太
    • Journal Title

      第39回地盤工学研究発表会講演集 39

      Pages: 271-272

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary 2004 Annual Research Report
  • [Journal Article] 三軸BE試験による粘性土の弾性係数の評価2004

    • Author(s)
      川口 貴之
    • Journal Title

      第39回地盤工学研究発表会講演集 39

      Pages: 277-278

    • NAID

      130004622498

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Vibration properties of self-monitoring bender element2004

    • Author(s)
      Nishida, K., Ogino, T., Mitachi, T., Kawaguchi, T.
    • Journal Title

      Proceedings of the 39th Japanese National Conference on Geotechnical Engineering 39

      Pages: 271-272

    • NAID

      130004622495

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Evaluation of elastic modulus of clay in triaxial and bender element test2004

    • Author(s)
      Kawaguchi, T., Mitachi, T., Shibuya, S., Sano, F.
    • Journal Title

      Proceedings of the 39th Japanese National Conference on Geotechnical Engineering 39

      Pages: 277-278

    • NAID

      130004622498

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 三軸BE試験による粘性土の弾性係数の評価2004

    • Author(s)
      川口貴之
    • Journal Title

      第39回地盤工学研究発表会講演集 39

      Pages: 277-278

    • NAID

      130004622498

    • Related Report
      2004 Annual Research Report

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Published: 2004-04-01   Modified: 2016-04-21  

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