Abstract Structured deoformations are used to refine the basic ingredients of continuum field theories and to derive a syste of field equations for elastic bodies undergoing submacroscopically smooth genmetrical changes as well as submacroscopically non-smooth geometrical changes (disarrangements). The constitutive assumptions employed in this derivation permit the body to store energy as well as to dissipate energy in smooth dynamical processes. Only one non-classical field , the deformation without disarrangements, appears in the field equations, and a consistency relation based on a decomposition of the Piola-Kirchhoff stress circumvents the use of additional balance laws orphenomenological evolution laws to restrict . The field equations are applied to an elastic body whose free energy depends only upon the volume fraction for the structured deformation. Existence is established of two universal phases, a spherical phase and an elongated phase, whose volume fractions are and respectively, with the ``golden mean.''

Get the paper in its entirety as

• 02-CNA-017.ps
• 02-CNA-017.pdf