Fracture Toughness of Wood Fiber Gypsum Panels from Size Effect Law
Publication: Journal of Engineering Mechanics
Volume 132, Issue 7
Abstract
This paper addresses the size effect of inplane bending strength as well as Mode I fracture toughness and process zone length of wood fiber-reinforced gypsum panels. Wood fiber gypsum panels represent an incombustible short fiber composite material composed of recycled paper fibers embedded in a gypsum matrix. The material, which is used for sheathing and bracing of timber frame constructions, exhibits marked fracture softening supposedly resulting in a considerable size effect. In the paper presented, in a first step Bažant’s size effect law for quasi-brittle materials is derived. The parameters of this size effect law are then determined by means of nonlinear regression analysis applied to a test series with scaled single edge notched beam specimens. Detailed consideration is given to the adequacy of linear confidence intervals of the model parameters in comparison to nonlinear inferential results. Finally, the probability densities of fracture toughness and fracture process zone length are determined from the distributions of the size effect parameters by means of theory of random variables.
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Acknowledgments
The writers gratefully acknowledge the financial support of the study by the German Science Foundation (DFG) to Collaborative Research Center SFB 381 “Characterization of damage in fiber composite materials by means of nondestructive testing” and hereby to subproject A11 “Damage of structures made of cellulose based short fiber composite materials.”
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 132 • Issue 7 • July 2006
Pages: 730 - 738
Copyright
© 2006 ASCE.
History
Received: Aug 22, 2003
Accepted: Sep 22, 2005
Published online: Jul 1, 2006
Published in print: Jul 2006
Notes
Note. Associate Editor: Arvid Naess
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