A Generalized Continuum Theory and Its Relation to Micromorphic Theory
Publication: Journal of Engineering Mechanics
Volume 135, Issue 3
Abstract
Classic continuum mechanics views a crystal as a homogeneous and continuous medium, in which the basic structural unit of the crystal is taken without structure and is idealized as point mass. Micromorphic theory views a material as a continuous collection of deformable point particles; each particle has finite size and additional nine internal degrees of freedom describing the stretches and rotations of the particle. This paper presents a multiscale field theory that views a crystalline material as a continuous collection of lattice points, while embedded within each point is a group of discrete atoms. The atomistic formulation of the field theory is briefly introduced. Its relation with the well-known micromorphic theory is derived. The applicability of the classical continuum theory, micromorphic theory, and the generalized continuum field theory is discussed.
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Acknowledgments
The support of this work by the National Science Foundation under Award No. NSFCMMI-0646674 is gratefully acknowledged.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 135 • Issue 3 • March 2009
Pages: 149 - 155
Copyright
© 2009 ASCE.
History
Received: Sep 7, 2007
Accepted: Aug 25, 2008
Published online: Mar 1, 2009
Published in print: Mar 2009
Notes
Note. Associate Editor: George Z. Voyiadjis
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