/MAT/LAW104

ブロックフォーマットキーワード Voce硬化と線形硬化が混在する6次Drückerモデルを使用した弾塑性構成則。Johnson-Cookひずみ速度の依存性および自己加熱に起因する熱軟化の効果もモデル化できます。この構成則は、等方性のシェル要素およびソリッド要素に適用できます。

フォーマット

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
/MAT/LAW104/mat_ID/unit_ID
mat_title
ρ i                
E v MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamODaaaa@36F1@ Ires      
σ yld 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacqaHdpWCpaWaa0baaSqaa8qacaWG5bGaamiBaiaadsgaa8aabaWd biaaicdaaaaaaa@3BD7@ H QV BV CDR
CJC ε ˙ 0 Fcut    
μ Tref Tini    
η Cp ε ˙ iso MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape GafqyTdu2dayaacaWaaSbaaSqaa8qacaWGPbGaam4Caiaad+gaa8aa beaaaaa@3AF0@ ε ˙ ad MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape GafqyTdu2dayaacaWaaSbaaSqaa8qacaWGHbGaamizaaWdaeqaaaaa @39E5@  

定義

フィールド 内容 SI単位の例
mat_ID 材料識別子

(整数、最大10桁)

 
unit_ID 単位の識別子(オプション)

(整数、最大10桁)

 
mat_title 材料のタイトル

(文字、最大100文字)

 
ρ i 初期密度

(実数)

[ kg m 3 ]
E ヤング率。

(実数)

[ Pa ]
v MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamODaaaa@36F1@ ポアソン比。

(実数)

 
Ires 塑性の解法。
= 0
1に設定
= 1(デフォルト)
NICE(Next Increment Correct Error)陽解法。
= 2
Newton反復陰解法。
= 3
弾性の更新を伴うNICE陽解法。

(整数)

 
σ y l d 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacqaHdpWCpaWaa0baaSqaa8qacaWG5bGaamiBaiaadsgaa8aabaWd biaaicdaaaaaaa@3BD7@ 初期降伏応力

(実数)

[ Pa ]
H 線形硬化モジュール。

(実数)

[ Pa ]
QV Voce硬化係数

(実数)

[ Pa ]
BV Voce硬化指数。

(実数)

 
CDR Drucker係数。

(実数)

 
CJC Johnson-Cookひずみ速度係数。

(実数)

 
ε ˙ 0 塑性ひずみ速度の非粘性極限。

(実数)

[ 1 s ]
Fcut ひずみ速度フィルタリングのカットオフ周波数。

デフォルト = 1020(実数)

[ 1 s ]
μ 温度軟化曲線。

(実数)

[ 1 K ] MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeaaciGaaiaabeqaamaabaabaaGcbaWaamWaaeaada WcaaqaaiaaigdaaeaacaWGlbaaaaGaay5waiaaw2faaaaa@3981@
Tref 参照温度。

(実数)

[ K ]
Tini 初期温度。

(実数)

[ K ]
η Taylor-Quinney係数。

(実数)

 
Cp 比熱

(実数)

[ J kgK ] MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaamaadmaabaaeaa aaaaaaa8qadaWcaaWdaeaapeGaaeOsaaWdaeaapeGaae4AaiaabEga caqGlbaaaaWdaiaawUfacaGLDbaaaaa@3BCE@
ε ˙ i s o MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape GafqyTdu2dayaacaWaaSbaaSqaa8qacaWGPbGaam4Caiaad+gaa8aa beaaaaa@3AF0@ 等温条件における塑性ひずみ。

(実数)

[ 1 s ]
ε ˙ a d MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape GafqyTdu2dayaacaWaaSbaaSqaa8qacaWGHbGaamizaaWdaeqaaaaa @39E5@ 断熱条件における塑性ひずみ。

(実数)

[ 1 s ]

コメント

  1. この構成則では、次のように6次のDrücker相当応力定義を使用しています。 (1)
    σ e q = k   ( J 2 3 C D R   J 3 2 ) 1 6 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape Gaeq4Wdm3damaaBaaaleaapeGaamyzaiaadghaa8aabeaak8qacqGH 9aqpcaWGRbGaaiiOamaabmaapaqaa8qacaWGkbWdamaaDaaaleaape GaaGOmaaWdaeaapeGaaG4maaaakiabgkHiTiaadoeapaWaaSbaaSqa a8qacaWGebGaamOuaaWdaeqaaOWdbiaacckacaWGkbWdamaaDaaale aapeGaaG4maaWdaeaapeGaaGOmaaaaaOGaayjkaiaawMcaa8aadaah aaWcbeqaa8qadaWccaWdaeaapeGaaGymaaWdaeaapeGaaGOnaaaaaa aaaa@4B63@

    J 2 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape GaamOsa8aadaWgaaWcbaWdbiaaikdaa8aabeaaaaa@37F1@ J 3 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape GaamOsa8aadaWgaaWcbaWdbiaaikdaa8aabeaaaaa@37F1@ は、それぞれ偏差応力テンソル k =   ( 1 27 C D R   4 27 2 ) 1 6 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape Gaam4Aaiabg2da9iaacckadaqadaWdaeaapeWaaSaaa8aabaWdbiaa igdaa8aabaWdbiaaikdacaaI3aaaaiabgkHiTiaadoeapaWaaSbaaS qaa8qacaWGebGaamOuaaWdaeqaaOWdbiaacckadaWcaaWdaeaapeGa aGinaaWdaeaapeGaaGOmaiaaiEdapaWaaWbaaSqabeaapeGaaGOmaa aaaaaakiaawIcacaGLPaaapaWaaWbaaSqabeaapeGaeyOeI0YaaSGa a8aabaWdbiaaigdaa8aabaWdbiaaiAdaaaaaaaaa@48E0@ の第2不変量と第3不変量です。

    このパラメータはユーザー定義であり、複数の降伏曲面を定義できます(図 1)。この図にある凸性を考慮するには、このパラメータ値を-27/8 ≤ CDR ≤ 2.25の範囲で指定する必要があります。


    図 1. Drücker降伏曲面
  2. 降伏関数を次のように定義します。(2)
    ϕ =   σ e q 2 σ y l d 2 1 = 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape Gaeqy1dyMaeyypa0JaaiiOamaalaaapaqaa8qacqaHdpWCpaWaa0ba aSqaa8qacaWGLbGaamyCaaWdaeaapeGaaGOmaaaaaOWdaeaapeGaeq 4Wdm3damaaDaaaleaapeGaamyEaiaadYgacaWGKbaapaqaa8qacaaI YaaaaaaakiabgkHiTiaaigdacqGH9aqpcaaIWaaaaa@4854@
    および (3)
    σ y l d = ( σ y l d 0 + H ε p + Q V ( 1 e B V   ε p ) ) ( 1   +   C J C   ln ( ε ˙ f ε ˙ 0 ) )   ( 1     (   T r e f ) ) MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape Gaeq4Wdm3damaaBaaaleaapeGaamyEaiaadYgacaWGKbaapaqabaGc peGaeyypa0ZaaeWaa8aabaWdbiabeo8aZ9aadaqhaaWcbaWdbiaadM hacaWGSbGaamizaaWdaeaapeGaaGimaaaakiabgUcaRiaadIeacqaH 1oqzpaWaaSbaaSqaa8qacaWGWbaapaqabaGcpeGaey4kaSIaamyua8 aadaWgaaWcbaWdbiaadAfaa8aabeaak8qadaqadaWdaeaapeGaaGym aiabgkHiTiaadwgapaWaaWbaaSqabeaapeGaeyOeI0IaamOqa8aada WgaaadbaWdbiaadAfaa8aabeaal8qacaGGGcGaeqyTdu2damaaBaaa meaapeGaamiCaaWdaeqaaaaaaOWdbiaawIcacaGLPaaaaiaawIcaca GLPaaadaqadaWdaeaapeGaaGymaiaabckacqGHRaWkcaqGGcGaam4q a8aadaWgaaWcbaWdbiaadQeacaWGdbaapaqabaGcpeGaaiiOaiaabY gacaqGUbWaaeWaa8aabaWdbmaalaaapaqaa8qacuaH1oqzpaGbaiaa daWgaaWcbaWdbiaadAgaa8aabeaaaOqaa8qacuaH1oqzpaGbaiaada WgaaWcbaWdbiaaicdaa8aabeaaaaaak8qacaGLOaGaayzkaaaacaGL OaGaayzkaaGaaiiOamaabmaapaqaa8qacaaIXaGaaeiOaiabgkHiTi aabckadaqadaWdaeaapeGaaeivaiaabckacqGHsislcaqGGcGaamiv a8aadaWgaaWcbaWdbiaadkhacaWGLbGaamOzaaWdaeqaaaGcpeGaay jkaiaawMcaaaGaayjkaiaawMcaaaaa@7AC3@
    ここで、
    σ y l d 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape Gaeq4Wdm3damaaDaaaleaapeGaamyEaiaadYgacaWGKbaapaqaa8qa caaIWaaaaaaa@3BCC@
    初期降伏応力
    H
    線形硬化。
    Q V , B V MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape Gaamyua8aadaWgaaWcbaWdbiaadAfaa8aabeaak8qacaGGSaGaamOq a8aadaWgaaWcbaWdbiaadAfaa8aabeaaaaa@3ADD@
    Voce硬化パラメータ。
    C J C MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape Gaam4qa8aadaWgaaWcbaWdbiaadQeacaWGdbaapaqabaaaaa@38C5@
    Johnson-Cookひずみ速度係数。
    ε ˙ 0
    非粘性極限塑性ひずみ速度。
    μ
    熱軟化曲線。
    塑性に対するこの流れ応力方程式の変化。


    図 2. 塑性に対する流れ応力の変化
  3. この材料に/HEAT/MATを使用していない場合、次の増分式を使用して温度が内部的に計算されます。(4)
    d T =   ω ( ε ˙ p ) η   C p MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape GaamizaiaadsfacqGH9aqpcaGGGcGaeqyYdC3aaeWaa8aabaWdbiqb ew7aL9aagaGaamaaBaaaleaapeGaamiCaaWdaeqaaaGcpeGaayjkai aawMcaamaalaaapaqaaiabeE7aObqaa8qacaGGGcGaam4qa8aadaWg aaWcbaWdbiaadchaa8aabeaaaaaaaa@459C@
    ここで、
    d W p   MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape GaamizaiaadEfapaWaaSbaaSqaa8qacaWGWbaapaqabaGcpeGaaiiO aaaa@3A5E@
    塑性ひずみエネルギーの増分。
    η
    考慮を必要とするTaylor-Quinney係数 0 η   1 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape GaaGimaiabgsMiJkabeE7aOjaacckacqGHKjYOcaaIXaaaaa@3DBB@
    ω ( ε ˙ p ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape GaeqyYdC3aaeWaa8aabaWdbiqbew7aL9aagaGaamaaBaaaleaapeGa amiCaaWdaeqaaaGcpeGaayjkaiaawMcaaaaa@3C9A@
    等温条件と断熱条件間の遷移を定義する係数(図 3)。
    (5)
    ω ( ε p ˙ ) =   ( ε ˙ p   ε ˙ i s o ) 2 ( 3 ε ˙ a d   2 ε ˙ p ε ˙ i s o ) ( ε ˙ a d   ε ˙ i s o ) 3 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape GaeqyYdC3aaeWaa8aabaWaaCbiaeaapeGaeqyTdu2damaaBaaaleaa peGaamiCaaWdaeqaaaqabeaapeGaaiy2caaaaOGaayjkaiaawMcaai abg2da9iaacckadaWcaaWdaeaapeWaaeWaa8aabaWdbiqbew7aL9aa gaGaamaaBaaaleaapeGaamiCaaWdaeqaaOWdbiabgkHiTiaacckacu aH1oqzpaGbaiaadaWgaaWcbaWdbiaadMgacaWGZbGaam4BaaWdaeqa aaGcpeGaayjkaiaawMcaa8aadaahaaWcbeqaa8qacaaIYaaaaOWaae Waa8aabaWdbiaaiodacuaH1oqzpaGbaiaadaWgaaWcbaWdbiaadgga caWGKbaapaqabaGcpeGaaiiOaiabgkHiTiaaikdacuaH1oqzpaGbai aadaWgaaWcbaWdbiaadchaa8aabeaak8qacqGHsislcuaH1oqzpaGb aiaadaWgaaWcbaWdbiaadMgacaWGZbGaam4BaaWdaeqaaaGcpeGaay jkaiaawMcaaaWdaeaapeWaaeWaa8aabaWdbiqbew7aL9aagaGaamaa BaaaleaapeGaamyyaiaadsgaa8aabeaak8qacqGHsislcaGGGcGafq yTdu2dayaacaWaaSbaaSqaa8qacaWGPbGaam4Caiaad+gaa8aabeaa aOWdbiaawIcacaGLPaaapaWaaWbaaSqabeaapeGaaG4maaaaaaaaaa@6D64@


    図 3. 塑性ひずみ速度に対する温度重みの変化
  4. この塑性ひずみ速度には、ユーザーズガイドフィルタリングに従ってフィルタが適用されています。