Flexural rigidity

About: Flexural rigidity is a research topic. Over the lifetime, 3829 publications have been published within this topic receiving 56780 citations.

The Mechanical Properties of Woven Fabrics : Part IV: The Determination of the Bending Rigidity and Frictional Restraint in Woven Fabrics

Abstract: Frictional forces play an important role in the flexural' behavior of a fabric by increasing its resistance to bending and impeding its recovery from deformations. It has been shown that the effect of frictional restraint is to introduce considerable deviations from the behavior of an elastic lamina. From an analysis of these deviations, a fairly accurate estimate of elastic bending rigidity and frictional restraint can be obtained separately, which gives reasonable explanation of the recovery characteristics of a fabric. The values of elastic bending rigidity and frictional. restraint, as given by two different methods of measuring stiffness are in good agreement which shows that, for a genuine comparisrm of results from different bending tests, the effect of frictional restraint cannot be ignored. The new parameter of frictional restraint can be readily measured and a knowledge of its value appears to be of considerable practical importance. It is a measure of the extent to which stresses in a fabric have relaxed and. therefore, indicates the degree of set imparted to a fabric as a result of a particular finishing treatment.

Nonlinear bending and stretching of a circular graphene sheet under a central point load

Abstract: Understanding of the bending and stretching properties of graphene is crucial in guiding its growth and applications. In this paper, we investigate the deformation of a single layer, circular, graphene sheet under a central point load by carrying out molecular mechanics (MM) simulations. The bending and stretching of the graphene sheet are characterized by using the von Karman plate theory. Stress concentrations near the loaded region and the boundary due to bending rigidity of the graphene sheet are highlighted. It is shown herein that, with properly selected parameters, the von Karman plate theory can provide a remarkably accurate prediction of the graphene sheet behavior under linear and nonlinear bending and stretching.

Mechanical properties of thin films from the load deflection of long clamped plates

Abstract: A plane-strain load-deflection model for long plates clamped to a rigid support is developed. The analytical model describes the nonlinear deflection of plates with compressive or tensile residual stress and finite flexural rigidity under uniform load. It allows for the extraction of the residual stress and plane-strain modulus of single-layered thin films. Properties of compressively and weakly prestressed materials are extracted with an accuracy achieved previously only with tensile samples. Two approximations of the exact model are derived. The first reduces the plates to membranes by neglecting their flexural rigidity. Considerable errors result from this simplification. The second approximation provides an exact expression for the linear plate response. Using the model, mechanical properties were extracted from two plasma-enhanced chemical-vapor deposition (PECVD) silicon nitride films with weakly tensile and compressive prestress, respectively. Measured residual stresses are 1.3/spl plusmn/3.8 and -63/spl plusmn/12.4 MPa, respectively. Corresponding plane-strain moduli are 134.4/spl plusmn/3.9 and 142/spl plusmn/2.6 GPa, respectively.