A Theory of Mechanical Response of Fiber Networks
Keywords:Mathematical models, continuum theory, paper elasticity, paper, nonwovens, analysis
AbstractGeneral theoretical aspects of a continuum mathematical model for predicting the mechanical behavior of fiber networks are presented. The theory is developed for an idealized two-dimensional elastic network subjected to static loading. It is intended that the theory be employed to study the elastic stress-strain behavior of paper sheets or other bonded fibrous materials.
Askar, A., and A. S. Cakmak. 1968. A structural model of a micropolar continuum. Int. J. Eng. Sci. 6:583-589.nEringen, A. C. 1966. Linear theory of micropolar elasticity. J. Math. Mech. 15(6):909-923.nEringen, A. C., and E. S. Sukubi. 1964. Nonlinear theory of simple microelastic solids I and II. Int. J. Eng. Sci. 2:189-203, 389-404.nKlemm, P., and C. Wozniak. 1970. Dense elastic lattices of regular structure. I. The plane problem. Bull. l'Acad. Pol. Sci., Serie des sciences techniques 18(10):435-444. (809-818).nMaye, R. F. 1970. On the determination of micromorphic material constants from properties of the constituents. In A. C. Eringen, ed., Recent advances in engineering science, v. 5, Part 2. Gordon and Breach.nMindlin, R. D. 1964. Microstructure in linear elasticity. Arch. Ration. Mech. Anal. 16:51-78.nSternstein, S. S. 1971. Micromechanics of fiber networks. Part B-2, In N. Bakales and L. Segal, eds., Cellulose and cellulose derivatives, v. 5, Part 4. John Wiley and Sons, Inc.nVan den Akker, J. A. 1970. Structure and tensile characteristics of paper. Tappi 53(3): 388-400.nWózniak, C. 1967. Thermoelasticity of bodies with micro-structure. Arch. Mech. Stosowanej 3(19).n
The copyright of an article published in Wood and Fiber Science is transferred to the Society of Wood Science and Technology (for U. S. Government employees: to the extent transferable), effective if and when the article is accepted for publication. This transfer grants the Society of Wood Science and Technology permission to republish all or any part of the article in any form, e.g., reprints for sale, microfiche, proceedings, etc. However, the authors reserve the following as set forth in the Copyright Law:
1. All proprietary rights other than copyright, such as patent rights.
2. The right to grant or refuse permission to third parties to republish all or part of the article or translations thereof. In the case of whole articles, such third parties must obtain Society of Wood Science and Technology written permission as well. However, the Society may grant rights with respect to Journal issues as a whole.
3. The right to use all or part of this article in future works of their own, such as lectures, press releases, reviews, text books, or reprint books.