Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 40, Issue 26, Pages 7483-7498Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2003.09.003
Keywords
paper; paperboard; biaxial; tension; compression; shear; Z-direction; out-of-plane; model; bounding surface; yield surface; elastic; plastic
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An elastic-plastic material model for the out-of-plane mechanical behaviour of paper is presented. This model enables simulation the elastic-plastic behaviour under high compressive loads in the through-thickness direction (ZD). Paper does not exhibit a sharp transition from elastic to elastic-plastic behaviour. This makes it advantageous to define critical stress states based on failure stresses rather than yield stresses. Moreover, the failure stress in out-of-plane shear is strongly affected by previous plastic through-thickness compression. To cover these two features, a model based on the idea of a bounding surface that grows in size with plastic compression is proposed. Here, both the bounding and the yield surfaces are suggested as parabolas in stress space. While the bounding surface is open for compressive loads, the yield surface is bordered by the maximum applied through-thickness compression. (C) 2003 Elsevier Ltd. All rights reserved.
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