単軸引張り試験データを使った超弾性材料の設定方法

altair_fukuoka
altair_fukuoka
Altair Employee
edited November 2020 in 質問と回答 (Q&A)

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TAB1 は TABLES1 です。HyperWorks X で見るとこんな感じです。

 

image.png.a958e4f4241984c534289bc931beb3b7.png

 

image.png.1e8e3dea6bf421454b2d0e295339de36.png

 

.out ファイルには、同定されたパラメータが出てきます( Mooney-Rivlin の例)

Hyperelastic Material Constants
Constants (fitted by using user provided test data) related to the DEVIATORIC strain energy function: 
C10          C01


       0.35430520                -0.19456034

 

テストデータと、材料モデル式との比較も出てきます。

          Uniaxial test data available

Strain          Stress(test)          Stress(OptiStruct)
 0.10000000E-01           0.10000000E-01           0.96045470E-02
 0.20000000E-01           0.20000000E-01           0.19244842E-01
 0.30000000E-01           0.30000000E-01           0.28915313E-01
 0.40000000E-01           0.40000000E-01           0.38610857E-01
 0.50000000E-01           0.50000000E-01           0.48326794E-01
 0.60000000E-01           0.60000000E-01           0.58058839E-01
 0.70000000E-01           0.70000000E-01           0.67803068E-01
 0.80000000E-01           0.80000000E-01           0.77555891E-01
 0.90000000E-01           0.90000000E-01           0.87314023E-01
 0.11000000E+00           0.10000000E+00           0.10683446E+00
 0.12000000E+00           0.11000000E+00           0.11659151E+00
 0.13000000E+00           0.12000000E+00           0.12634334E+00
 0.14000000E+00           0.13000000E+00           0.13608786E+00
 0.15000000E+00           0.14000000E+00           0.14582318E+00
 0.16000000E+00           0.15000000E+00           0.15554758E+00
 0.17000000E+00           0.16000000E+00           0.16525949E+00
 0.18000000E+00           0.17000000E+00           0.17495750E+00
 0.19000000E+00           0.18000000E+00           0.18464033E+00
 0.20000000E+00           0.20000000E+00           0.19430683E+00
 0.10000000E+01           0.10000000E+01           0.89958762E+00

 

どの程度のひずみまで安全に計算できるか、Drucker の安定性についての調査も出てきます。あまりよろしくないですね。

Hyperelastic Material Drucker Stability Check Results (MATHE #       1):
  
Uni-axial tension:        Becoming unstable at the nominal strains       0.35000000
Uni-axial compression:    Becoming unstable at the nominal strains       0.26580000
Bi-axial tension:         Becoming unstable at the nominal strains       0.16700000
Bi-axial compression:     Becoming unstable at the nominal strains       0.13920000
Planar tension:           Becoming unstable at the nominal strains       0.30200000
Planar compression:       Becoming unstable at the nominal strains       0.23150000

 

設定例はこちら(カーブはでたらめです): 

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