Asymptotic variational analysis of incompressible elastic strings

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Asymptotic Freedom of Elastic Strings and Barriers

We study the problem of a quantized elastic string in the presence of an impenetrable wall. This is a two-dimensional field theory of an N -component real scalar field φ which becomes interacting through the restriction φφ ≤ φ max , for a spherical wall of radius φmax. The N = 1 case is a string vibrating in a plane between two straight walls. We review a simple nonperturbative argument that th...

متن کامل

A Twodimensional Variational Model for the Equilibrium Configuration of an Incompressible, Elastic Body with a Three-Well Elastic Potential

We consider a geometrically linear variational model in two space dimensions for an incompressible, elastic body whose elastic potential has exactly three wells corresponding to one austenitic and to two martensitic phases. Passing to the dual problem we show that the stress tensor is weakly differentiable on the interior of the domain and in addition Hölder continuous on any subset of the unio...

متن کامل

Uniform asymptotic analysis for waves in an incompressible elastic rod I. Disturbances superimposed on an initially stress-free state

This paper studies the propagation of disturbances in an initially stress-free elastic circular rod. Starting from the Mindlin-Hermann equations, we derive a fourth-order partial differential equation as the governing equation for small axial-radial deformations in a rod composed of an incompressible material. Then, we consider an initial-value problem with an initial singularity in the shear s...

متن کامل

Variational Principles for Compressible and Incompressible Systems

Some of the results of a previous paper 1 on the relations between adiabatic and incompressible systems are the establishing of a variational energy principle for incompressible systems and consequently of comparison theorems for stability of adiabatic and incompressible perturbations of the same equilibrium state. In this paper we extend these analyses to the most general compressible regimes ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Proceedings of the Royal Society of Edinburgh: Section A Mathematics

سال: 2020

ISSN: 0308-2105,1473-7124

DOI: 10.1017/prm.2020.70