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    • 5. 发明申请
    • INFORMATION PROCESSING DEVICE, METHOD AND PROGRAM
    • 信息处理设备,方法和程序
    • WO2014038729A2
    • 2014-03-13
    • PCT/JP2013/074782
    • 2013-09-06
    • KABUSHIKI KAISHA TOYOTA CHUO KENKYUSHOUNIVERSITY OF THE RYUKYUS
    • TANAKA, MasatoOMOTE, RyujiSASAGAWA, TakashiFUJIKAWA, Masaki
    • G06F17/10
    • G06F17/5018G06F17/10G06F2217/16
    • For each (ij)-th component of a tensor, an equation that is denoted by ΔF 1 (ij) and that uses ε 1 is computed on the basis of a function W(F) of an inputted tensor amount F and a value (F=F^) of the tensor amount F (312). For each (kl)-th component of a tensor, an equation that is denoted by ~ΔF 2 (k1) and that uses ε 1 and ε 2 is computed on the basis of the value (F=F^) of the tensor amount F (314). For each combination of an (ij)-th component and a (kl)-th component of a tensor, a function W(F^+ΔF 1 (ij) +~ΔF 2 (k1) ) is computed by using the computed equation that is denoted by ΔF 1 (ij) and the computed equation that is denoted by ~ΔF 2 (k1) (316). For each (ij)-th component of a tensor, a coefficient of ε 1 in the computed function W(F^+ΔF 1 (ij) +~ΔF 2 (k1) ) is taken-out, and stress, that is based on a first order derivative with respect to the tensor amount F of the function W(F), is computed. For each combination of an (ij)-th component and a (kl)-th component of a tensor, a coefficient of ε 1 ⋅ε 2 in the function W(F^+ΔF 1 (ij) +~ΔF 2 (k1) ) is taken-out, and a material Jacobian, that is based on a second order derivative with respect to the tensor amount F of the function W(F), is computed (318, 320).
    • 对于张量的每个(ij)分量,基于输入的张量F的函数W(F)和值(F = F)计算由DeltaF1(ij)表示并使用epsilon1的等式, F ^(312)。 对于张量的每个第(kl)个分量,基于张量量F(314)的值(F = F ^)计算由ΔΔF2(k1)表示并且使用ε1和ε2的方程 )。 对于张量的第(ij)分量和第(kl)分量的每个组合,通过使用所计算的等式来计算函数W(F ^ +ΔF1(ij)+ΔΔF1(k1)) 由ΔF1(ij)表示,由ΔΔF(k1)(316)表示的计算公式。 对于张量的每个第(ij)分量,计算函数W(F ^ +ΔF1(ij)+〜ΔF2(k1))中的ε1的系数被取出,并且基于第一 计算相对于函数W(F)的张量F的阶导数。 对于张量的第(ij)分量和第(kl)分量的每个组合,取出函数W(F ^ +ΔF1(ij)+〜ΔF2(k1))中的ε1sepsilon2的系数 ,并且计算基于相对于函数W(F)的张量量F的二阶导数的材料雅可比,(318,320)。