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Study on Rational Numerical Computation of Reflecting Energy of Elastic Waves by a Gradient Inhomogeneous Layr

Research Project

Project/Area Number 06805008
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field Materials/Mechanics of materials
Research InstitutionAkita University

Principal Investigator

OHYOSHI Tadashi  Mining College, Akita University Professor, 鉱山学部, 教授 (70006691)

Co-Investigator(Kenkyū-buntansha) MIURA Kimihisa  Mining College, Akita University Assistant, 鉱山学部, 助手 (80110667)
Project Period (FY) 1994 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 1995: ¥300,000 (Direct Cost: ¥300,000)
Fiscal Year 1994: ¥1,300,000 (Direct Cost: ¥1,300,000)
KeywordsElastic Wave / Gradient Inhomogeneous Layr / Reflection / Computation / SH wave / Acoustic Impedance / Transfer Matrix / Linear Inhomogeneous Layr Element / 不均質要素 / 計算法
Research Abstract

Studies on multiple reflection and transmission of elastic waves relating to a nondestructive inspection of inhomogeneous layrs, have been reported by many researchers. Theoretical analyzes of modern problems of functionally gradient materials are generally difficult ones without resorting to some numerical approach. Most analyzes relating to an inhomogeneous elastic layr may be classified into two kinds of approaches. One is the approximation by piling up large number of homogeneous thin layrs, which approach is likely to lead to a large amount of numerical calculations. The other approach is a theoretical analysis using restricted function to describe the inhomogeneous property inside a material. The function should be chosen so that the governing equations may have manageable solutions. To improve such the unsatisfied approaches, the fundamental new element is originally introduced in the course of this project, and named as Linear Inhomogeneous Layr Element (LILE). Stacking of the … More new elements may improve much the adaptability to various real inhomogeneous solids with small number of elements, because each of the LILE has individual linear variation of acoustic impedance over the thickness. The analytical formulation of the stacking multilayr structure was systematically made by the transfer matrix method.
The application of the LILE stacking model, as an example, to a reflection and transmission problem of obliquely incident SH-wave impinging on the gradient inhomogeneous layr, was demonstrated. The developing process of the stacking model was interpreted, and their calculated intensity of reflection can be verified by the conservation law of energy. The results show excellent adaptability of the model to an acoustic impedance variation. Benefits of such the new elements to the analysis are confirmed by comparison with conventional approximate method of piling up of many homogeneous layrs. LILE is then a viable tool for such a difficult dynamic problem of inhomogeneous material.
When the layr thickness is very thin, the fundamental solutions have ill nature in their computation.
This current problem should be figured out in order to increase the availability of LILE. Less

Report

(3 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • Research Products

    (15 results)

All Other

All Publications (15 results)

  • [Publications] 三浦,公久: "傾斜不均質介在層に対する弾性波の反射エネルギー計算" 日本機械学会論文集(A編). 60. 1579-1584 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Ohyoshi,Tadashi: "Linear Inhomogeneous Layer Element for Reflectance Evaluation of Inhomogeneous Layers" Dynamics Response and Behavior of Composites: ASME pub.ser.AD-Vol.46. 121-126 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Ohyoshi,Tadashi: "Backscatter of Elastic Waves from a Thermally Affected Surface Layer" Proceedings of the Thermal Stresses '95. Vol.1. 183-186 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Ohyoshi,Tadashi: "Reffection of Elastic Waves by a Gradient Inhomogeneous Layer" Proceedings of the Mechanics of Jointed and Faulted Rock-2. Vol.1. 719-724 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 大好,直: "線形不均質層要素による弾性波の反射透過解析" 日本機械学会論文集(A編). 62. 548-554 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Ohyoshi, Tadashi: ""Reflection and Transmission Analysis of Elastic Waves by Linear Inhomogeneous Layr Element."" Transactions of JSME,Ser.A. Vol.62. 548-554 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Ohyoshi, Tadashi: ""Linear Inhomogeneous Layr Element for Reflectance Evaluation of Inhomogeneous Layrs."" Dynamics Response and Behavior of Composites : ASME publishing series. AD-Vol.46. 121-126 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Ohyoshi, Tadashi and Sui, Guang Jun: ""Backscatter of Elastic Waves from a Thermally Affected Surface Layr."" Proceedings of the Thermal Stresses *95. Vol.1. 183-186 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Ohyoshi, Tadashi: ""Reflection of Elastic Waves by a Gradient Inhomogeneous Layr."" Proceedings of the Mechanics of Jointed and Faulted Rock-2. Vol.1. 719-724 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Miura, Kimihisa and Ohyoshi, Tadashi: ""Calculation of Reflecting Energy of Elastic waves to a Gradient Inhomogeneous Layr ; Stacking Method by Linear Inhomogeneous Layr Elements."" Transactions of JSME,Ser.A. Vol.60. 1579-1584 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Ohyoshi, Tadashi: "Linear Inhomogeneous Layer Elament for Reflectance Evaluation of Inhomogeneous Layer" Dynamic Response and Behavior of Composites;ASME pub.ser.AD-Vol.46. 121-126 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Ohyoshi, Tadashi: "Backscatter of Elastic Waves from a Thesmally Affected Surface Layer" Proceedings of the Thermal Stresses'95. Vol.1. 183-186 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Ohyoshi, Tadashi: "Reflection of Elastic Waves by a Gradient Inhomogeneous Layer" Proceedings of the Mechanics of Jointed an Faulted Rock-2. Vol.1. 719-724 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 大好,直: "線形不均質層要素による弾性波の反射透過解析" 日本機械学会論文集(A編). 62巻. 548-554 (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] 三浦,公久: "傾斜不均質介在層に対する弾性波の反射エネルギー計算" 日本機械学会論文集(A編). 60. 1579-1584 (1994)

    • Related Report
      1994 Annual Research Report

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Published: 1994-04-01   Modified: 2016-04-21  

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