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1. 发明申请

WO2014038729A2 INFORMATION PROCESSING DEVICE, METHOD AND PROGRAM 审中-公开
标题翻译：信息处理设备，方法和程序
公开(公告)号：WO2014038729A2
公开(公告)日：2014-03-13
申请号：PCT/JP2013/074782
申请日：2013-09-06
申请人： KABUSHIKI KAISHA TOYOTA CHUO KENKYUSHO , UNIVERSITY OF THE RYUKYUS
发明人： TANAKA, Masato , OMOTE, Ryuji , SASAGAWA, Takashi , FUJIKAWA, Masaki
IPC分类号： G06F17/10
CPC分类号： G06F17/5018 , G06F17/10 , G06F2217/16
摘要： 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).
摘要翻译：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）。

2. 发明公开

EP2893464A2 INFORMATION PROCESSING DEVICE, METHOD AND PROGRAM 审中-公开
标题翻译：信息处理设备，方法和程序
公开(公告)号：EP2893464A2
公开(公告)日：2015-07-15
申请号：EP13773870.4
申请日：2013-09-06
申请人： Kabushiki Kaisha Toyota Chuo Kenkyusho , University of The Ryukyus
发明人： TANAKA, Masato , OMOTE, Ryuji , SASAGAWA, Takashi , FUJIKAWA, Masaki
IPC分类号： G06F17/10 , G06F17/50
CPC分类号： G06F17/5018 , G06F17/10 , G06F2217/16
摘要： For each (ij)-th tensor component, an equation &Dgr;F1(ij) using &egr;1 is computed based on a function W(F) of an inputted tensor amount F and a value (F=F̂) of F. For each (kl)-th tensor component, an equation ˜&Dgr;F2(kl) using &egr;1 and &egr;2 is computed based on the value (F=F̂) of F. For each combination of an (ij)-th and a (kl)-th component, a function W(F̂+&Dgr;F1(ij)+˜&Dgr;F2(kl)) is computed using the computed equations &Dgr;F1(ij) and ˜&Dgr;F2(kl). For each (ij)-th component, a coefficient of &egr;1 in the function W(F̂+&Dgr;F1(ij)+˜&Dgr;F2(kl)) is removed, and stress, based on a first order derivative with respect to the amount F of the function W(F), is computed. For each combination of an (ij)-th and a (kl)-th component, a coefficient of &egr;1·&egr;2 in the function W(F̂+&Dgr;F1(ij)+˜&Dgr;F2(kl)) is removed, and a material Jacobian, based on a second order derivative with respect to the amount F of the function W(F), is computed.
摘要翻译：对于张量的第（i，j）个分量，基于输入的张量F的函数W（F）和值（（））的值来计算由ΔF1（ij） F（312）的F = F ^）。对于张量的每个（k-1）分量，基于张量量的值（F = F ^）计算由〜ΔF2（k1）表示并且使用ε1和ε2的等式 F（314）。对于张量的第（i，j）个分量和第kl个分量的每个组合，通过使用所计算的等式来计算函数W（F ^ +ΔF1（ij）+〜ΔF2（kl））用ΔF1（ij）表示的计算公式和用ΔF2（k 1）（316）表示的计算公式表示。对于张量的每个（i，j）分量，计算出的函数W（F ^ +ΔF1（ij）+〜ΔF2（k1））中的系数ε1被取出，并且压力计算关于函数W（F）的张量F的一阶导数。对于张量的第（ij）个分量和第（kl）个分量的每个组合，函数W（F ^ +ΔF1（ij）+〜ΔF2（k1 ））被取出，并且计算关于函数W（F）的张量量F的基于二阶导数的材料雅可比行列式（318,320）。

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