TY - JOUR
T1 - A study on the thermodynamic consistency of the Park–Paulino–Roesler (PPR) cohesive fracture model
AU - Spring, Daniel W.
AU - Giraldo-Londoño, Oliver
AU - Paulino, Glaucio H.
N1 - Funding Information:
We thank the two anonymous reviewers for their critical input which contributed to improve the contents of the manuscript. We acknowledge support from the Natural Sciences and Engineering Research Council of Canada and from the U.S. National Science Foundation (NSF) through grants # 1321661 and # 1437535 . We also acknowledge support from the Raymond Allen Jones Chair at the Georgia Institute of Technology. The information presented in this publication is the sole opinion of the authors and does not necessarily reflect the views of the sponsors or sponsoring agencies.
Publisher Copyright:
© 2016 Elsevier Ltd
PY - 2016/12/1
Y1 - 2016/12/1
N2 - Although the Park–Paulino–Roesler (PPR) potential-based cohesive zone fracture model was not derived based on a thermodynamics consistency principle, we investigate the thermodynamic consistency of the PPR model under conditions of loading, unloading and reloading. First, we present a general anisotropic Helmholtz free energy function. Then, we reformulate the PPR model into the anisotropic Helmholtz form, and investigate its consistency and the various unloading/reloading relations which have been proposed for use with the model. By recasting the PPR model into the Helmholtz form, we illustrate that the PPR cohesive potential, while not designed with thermodynamic consistency in mind, is thermodynamically consistent under the pure loading conditions for which it was designed (as expected). We also demonstrate that the unloading/reloading relations, which are commonly used with the PPR model, are not thermodynamically consistent; however, through our investigation, we develop a new coupled unloading/reloading relation, which maintains the thermodynamic consistency of the PPR cohesive model. The considerations addressed in this paper are aimed at achieving a better understanding of the PPR model and other models of similar nature.
AB - Although the Park–Paulino–Roesler (PPR) potential-based cohesive zone fracture model was not derived based on a thermodynamics consistency principle, we investigate the thermodynamic consistency of the PPR model under conditions of loading, unloading and reloading. First, we present a general anisotropic Helmholtz free energy function. Then, we reformulate the PPR model into the anisotropic Helmholtz form, and investigate its consistency and the various unloading/reloading relations which have been proposed for use with the model. By recasting the PPR model into the Helmholtz form, we illustrate that the PPR cohesive potential, while not designed with thermodynamic consistency in mind, is thermodynamically consistent under the pure loading conditions for which it was designed (as expected). We also demonstrate that the unloading/reloading relations, which are commonly used with the PPR model, are not thermodynamically consistent; however, through our investigation, we develop a new coupled unloading/reloading relation, which maintains the thermodynamic consistency of the PPR cohesive model. The considerations addressed in this paper are aimed at achieving a better understanding of the PPR model and other models of similar nature.
KW - Anisotropic Helmholtz function
KW - Damage mechanics
KW - PPR cohesive model
KW - Thermodynamic consistency
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U2 - 10.1016/j.mechrescom.2016.05.006
DO - 10.1016/j.mechrescom.2016.05.006
M3 - Article
AN - SCOPUS:85004008304
SN - 0093-6413
VL - 78
SP - 100
EP - 109
JO - Mechanics Research Communications
JF - Mechanics Research Communications
ER -