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Publication 14-CNA-006
Stable Disarrangement Phases of Granular Media II: Luca Deseri David R. Owen Abstract: We introduce in Part II the notion of a stable disarrangement phase $G$ corresponding to a given macroscopic deformation $F$ of an elastic aggregate. Specifically, a stable disarrangement phase $G$ minimizes the free energy density $\Psi (G^{\prime })$ among all tensors $G^{\prime }$ that satisfy the consistency relation $D\Psi (G^{\prime })(F^{T}-G^{\prime T})=0$ and the accommodation inequality $0< \det G^{\prime }\leq \det F$. The classification of disarrangement phases obtained in Part I for a model elastic aggregate is employed in Part II to establish the main result of the present study: stable disarrangement phases of the model aggregate cannot support tensile tractions. This result provides an example of a no-tension material whose response in compression is non-linear, in contrast to standard descriptions of no-tension materials in which the response in compression is assumed at the outset to be linear. Moreover, our main result suggests that the present field theory of elastic aggregates provides a broad setting for the study of structures containing masonry-like elements. Get the paper in its entirety as |
