On the relationship between balance relations for generalized continua and molecular behaviour
type: Item
instance of: scholarly article
title: On the relationship between balance relations for generalized continua and molecular behaviour
zbMATH Open document ID: 0645.73002
DOI: 10.1016/0020-7225(87)90123-6
published in: International Journal of Engineering Science
publication date: 1987-01-01T00:00:00Z
review text: The paper indicates a procedure for the motivation of macroscopic balance laws for materials that consist of large molecules on the basis of physically plausible assumptions. Atoms are modelled as point masses and assumptions are made concerning the nature of molecular motions and atomic motions within molecules as well as intersections between atoms. Simplifications that arise in the wake of cooperative molecular behaviour are discussed. Comparison of these balance laws with those in existing theories of generalized continua can reveal what is being neglected in the latter theories insofar as they apply to materials composed of large molecules.
Mathematics Subject Classification ID: 74Axx
Mathematics Subject Classification ID: 76A02
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 74A99
zbMATH DE Number: 4053108
zbMATH Keywords: macroscopic balance laws
zbMATH Keywords: molecular motions
zbMATH Keywords: atomic motions within molecules
zbMATH Keywords: intersections between atoms
author: A. I. Murdoch
MaRDI profile type: Publication
full work available at URL: 0020-7225(87)90123-6
OpenAlex ID: W2123507540
cites work: Q5607814
cites work: ON EQUATIONS OF MOTION FOR LIQUID CRYSTALS
cites work: A corpuscular approach to continuum mechanics: Basic considerations
cites work: Discrete and continuous bodies with affine structure
cites work: Q3856187
description: scientific article; zbMATH DE number 4053108