A three dimensional plasticity model for perpendicular to grain cohesive fracture in wood

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Abstract

A three dimensional cohesive zone model for perpendicular to grain wood fracture analysis is derived within the framework of plasticity theory and implemented for numerical calculations by the finite element method. The criterion used for strain instability and localization to a fracture plane is according to the orthotropic Tsai-Wu criterion accounting for all six stress components. The after localization plastic softening performance is governed by the three out-of-fracture plane stress and deformation components. The material model is applied to analyses of double cantilever beam specimens and end-notched beams. The results show in particular that stress and strength along grain may significantly affect perpendicular to grain fracture. The two dimensional development of the fracture process zone is also studied as affected by varying material principal directions. (C) 2012 Elsevier Ltd. All rights reserved.

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Subject classification (UKÄ) – MANDATORY

  • Mechanical Engineering

Keywords

  • Wood, Fracture mechanics, Cohesive zone modeling, Plastic theory, Tsai-Wu
Original languageEnglish
Pages (from-to)137-152
JournalEngineering Fracture Mechanics
Volume98
Publication statusPublished - 2013
Publication categoryResearch
Peer-reviewedYes