STRESS-STRAIN RELATIONSHIPS IN RUBBER (I) PRAGMATIC ELASTIC CONSTANTS OF RUBBER-LIKE MATERIAL

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  • ゴムの応力とひずみに関する研究　Ｉ　　ゴム状物質の実用弾性率について
  • ゴムジョウ ブッシツ ノ ジツヨウ ダンセイリツ ニ ツイテ

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Description

Theoretically the value of elastic constants for isotropic materials can be determined with the knowledge of any two elastic constants, from either of the following equation (1).<br>ν=1/2-E/6B, E=2G(1+ν) (1) when, E: Young′s modulus, E=σ/ε, σ: Stress, ε: Strain, G: Shear modulus, B: Bulk modulus, ν: Poisson′s ratio.<br>The rubber deformation takes place without change in volumes so that obtained equation (2).<br>ν=0.5, E=3G (2)<br>Bartenev shows equation (3) when large deformation of the rubber.<br>σ=E(1-λ-1), λ=1+ε (3)<br>But from (2) and (3) obtained equation (4) σ=3G(1-λ-1) did not fit for experimental data by Treloar stress-strain curve. σ=G(λ-λ-2) also famous equation but the experiment failed of success at tensile side to Treloar data.<br>My idea is defined rubber-like Poisson′s ratio (νR) and rubber-like Young′s modulus (ER), (νR)=ε′/ε =(1-1/√<λ>)/(λ-1), (ER)=2G(1+(νR))…(5), and (ER) relation input Bartenev equation (3), gained σ-λ formula (6), σ=2G(1-λ-1.5).<br>This equation (6) shows very close agreement to the Treloar tensile and compression data in the pragmatic strain region from about 2>λ>0.5.

Journal

  • NIPPON GOMU KYOKAISHI

    NIPPON GOMU KYOKAISHI 56 (6), 358-368, 1983

    THE SOCIRETY OF RUBBER SCIENCE AND TECHNOLOGYY, JAPAN

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