A material momentum balance law for shells and plates with application to phase transformations and adhesion

Abstract

A balance law for material momentum in shells and plates is proposed. The implications of this balance law for the propagation of defects, phase transformations, and shocks are explored. The developments are presented using a purely mechanical theory of a Cosserat (or directed) shell and specialized to the cases of a Kirchhoff–Love shell theory and a linearly elastic plate theory. To explore connections to the literature on delamination and adhesion, the balance law is applied to the problem of blistering.

Document Details

Document Type
Pub Defense Publication
Publication Date
Aug 02, 2022
Source ID
10.1007/s00707-022-03287-3

Entities

People

  • Nathaniel N. Goldberg
  • Oliver M. O'Reilly

Tags

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Structural Dynamics.
  • Theoretical Analysis.