Microelement Formulation of Free Energy for Quasi-Brittle Materials
Publication: Journal of Engineering Mechanics
Volume 140, Issue 8
Abstract
This study aimed to find a simplified micromechanical formulation of Helmholtz free energy for quasi-brittle materials by making use of a system of microelements, and to provide a thermodynamic foundation for the development of multiscale constitutive theories. The microscopic incompatible strain field and residual stress field in an uncracked matrix between frictional microcracks were reproduced with microsprings, faults, and sliders by taking the microscopic fracture strain as a random variable. The locked microscopic additional strain energy—plastic free energy—was represented in an abstract way by the locked deformation energy within the microelement system. Straightforward free-energy functions dependent on the probability distribution of microscopic fracture strain were derived, which can be used in both deterministic and stochastic constitutive modeling.
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Acknowledgments
Financial support from the National Science Foundation of China-National Science Foundation (NSFC-NSF) Joint Project (Grant No. 51261120374) and NSFC Projects (Grant Nos. 51108336, 51378377) is greatly appreciated.
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Published In
Journal of Engineering Mechanics
Volume 140 • Issue 8 • August 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Aug 13, 2013
Accepted: Feb 20, 2014
Published online: Mar 17, 2014
Published in print: Aug 1, 2014
Discussion open until: Aug 17, 2014
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