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{{Language_sel|LANG=ger|ARTIKEL=J-Integral Auswertemethoden}}
{{PSM_Infobox}}
Overview about the ''J''-Integral estimation methods

''J''-Integral estimation methods are used for the determination of fracture mechanics [[Material Value |values]] according to the [[J-Integral Concept | ''J''-Integral concept]]. The following table gives an overview of the most important approximation methods [1, 2]:

[[file:J-Evaluation-Methods-1.jpg|500px]]
{|
|- valign="top"
|width="50px"|'''Fig. 1''':
|width="600px" |Summary about the ''J''-Integral estimation methods
|}

'''Table:''' Overview about the most important ''J''-Integral approximation methods

{| border="1px" style="border-collapse:collapse"
!! style="width:100px; background:#DCDCDC" | Method to
!! style="width:200px; background:#DCDCDC" | Determination Equation
!! style="width:100px; background:#DCDCDC" | Validity
|-
|[[BEGLEY and LANDES – J-Integral Estimation Method | BEGLEY and LANDES]] (BL)
|style="text-align:center" | <math>J^{BL}=\frac{\lambda_{1} A_{G}}{B(W-a)}</math>
|style="text-align:center" | a/W > 0.45
|-
|[[RICE, PARIS and MERKLE – J-Integral Estimation Method | RICE, PARIS and MERKLE]] (RPM)
|style="text-align:center" | <math> J^{RPM}=\frac{\lambda_{2}(A_{G}-A_{0})}{B(W-a)}</math>
|style="text-align:center" | a/W > 0.6
|-
|[[KANAZAWA – J-Integral Estimation Method | KANAZAWA ]] (K)
|style="text-align:center" | <math> J^{K}=\frac{1}{B}\left [ (\frac{2}{W-a}-\frac{\alpha}{W})A_{G}+\frac{\alpha}{W}(F_{max}f_{max})-(\frac{2}{W-a}+\frac{\alpha}{W})A_{0} \right ]</math>
|style="text-align:center" | 0 < a/W < 1
|-
|[[SUMPTER and TURNER – J-Integral Estimation Method | SUMPTER and TURNER]] (ST)
|style="text-align:center" | <math> J^{ST}=\eta_{el}\frac{A_{el}}{B(W-a)}+\eta_{pl}\frac{A_{pl}}{B(W-a)}\cdot (\frac{W-a_{eff}}{W-a})</math>
|style="text-align:center" | 0 < a/W < 1
|-
|[[MERKLE and CORTEN – J-Integral Estimation Method | MERKLE and CORTEN (MC)]] (MC)
|style="text-align:center" | <math> J^{MC}=G_{1}+\frac{2}{B(W-a)}\left [ D_{1}A_{G}+D_{2}A_{K}-(D_{1}+D_{2})A_{el} \right ]</math>
|style="text-align:center" | 0 < a/W < 1
|}

==See also==

* [[J-Integral Concept | J-integral concept]]
* [[BEGLEY and LANDES – J-Integral Estimation Method | BEGLEY and LANDES]]
* [[RICE, PARIS and MERKLE – J-Integral Estimation Method | RICE, PARIS and MERKLE]]
* [[SUMPTER and TURNER – J-Integral Estimation Method | SUMPTER and TURNER]]
* [[MERKLE and CORTEN – J-Integral Estimation Method | MERKLE and CORTEN (MC)]]
* [[KANAZAWA – J-Integral Estimation Method | KANAZAWA ]]

'''References'''

{|
|-valign="top"
|[1]
|[[Grellmann,_Wolfgang|Grellmann, W.]]: Beurteilung der Zähigkeitseigenschaften von Polymerwerkstoffen durch bruchmechanische Kennwerte. Habilitation (1986), Technische Hochschule Leuna-Merseburg, Wiss. Zeitschrift TH Merseburg 28 (1986) H. 6, 787--788
|-valign="top"
|[2]
|[https://www.researchgate.net/profile/Wolfgang-Grellmann Grellmann, W.], Sommer, J.-P.: Beschreibung der Zähigkeitseigenschaften von Polymerwerkstoffen mit dem J-Integralkonzept. Institut für Mechanik, Berlin und Karl-Marx-Stadt, Fracture Mechanics, Micromechanics and Coupled Fields – (FMC)-Series (1985) 17, p. 48–72
|}

[[Category:Fracture Mechanics]]
[[Category:Instrumented Impact Test]]

J-Integral Evaluation Methods (Overview) - Revision history