A Theory of Mechanical Response of Fiber Networks


  • Richard W. Perkins


Mathematical models, continuum theory, paper elasticity, paper, nonwovens, analysis


General 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






Research Contributions