Koiter’s shell model is derived systematically from nonlinear elasticity theory, and shown to furnish the leading-order model for small thickness when the bending and stretching energies are of the same order of magnitude. An extension of Koiter’s model to finite midsurface strain emerges when stretching effects are dominant.

Abstract The famous bifurcation analysis performed by Flügge on compressed thin-walled cylinders is based a series of simplifying assumptions, which allow to obtain the landscape, together with explicit expressions for limit behaviours: surface instability, wrinkling, and Euler rod buckling. most severe assumption introduced use an incremental constitutive equation, does not follow from any non...

Gamification presents an opportunity to model and guide the enculturation process of computer science undergraduates. It can also make the matriculation journey more engaging for a broader range of students if done correctly. This paper looks at design considerations, potential benefits and the challenges with implementing meaningful gamification in a department of computer science. It describe...

Three-dimensional mathematical problems of the elasticity theory of anisotropic piecewise homogeneous bodies are discussed. A mixed type boundary contact problem is considered where on one part of the interface, rigid contact conditions are given (jumps of the displacement and the stress vectors are known), while on the remaining part screen or crack type boundary conditions are imposed. The in...

A phenomenological model based on the three-dimensional theory of nonlinear elasticity is developed to describe the phenomenon of overstretching in the force-extension curve for dsDNA. By using the concept of a material with multiple reference configurations a single formula is obtained to fit the force-extension curve.

Membrane theory may be regarded as a special case of the Cosserat theory of elastic surfaces, or, alternatively, derived from three-dimensional elasticity theory via asymptotic or variational methods. Here we obtain membrane theory directly from the local equations and boundary conditions of the three-dimensional theory. 1. Three-dimensional prismatic bodies Let F, with detF > 0, be the gradien...

A new closed form formulation of three-dimensional (3-D) refined higher-order shell theory (RHOST) to analyze the free vibration of composite circular cylindrical shells has been presented in this article. The shell is considered to be laminated with orthotropic layers and simply supported boundary conditions. The proposed theory is used to investigate the effects of the in-plane and rotary ine...