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We give a first contribution to the homogenization of many-body structures that are exposed to large deformations and obey the noninterpenetration constraint. The many-body structures considered here resemble cord-belts like they are used to reinforce pneumatic tires. We establish and analyze an idealized model for such many-body structures in which the subbodies are assumed to be hyperelastic with a polyconvex energy density and shall exhibit an initial brittle bond with their neighbors. Noninterpenetration...
We give a first contribution to the homogenization of many-body structures that are
exposed to large deformations and obey the noninterpenetration constraint. The many-body
structures considered here resemble cord-belts like they are used to reinforce pneumatic
tires. We establish and analyze an idealized model for such many-body structures in which
the subbodies are assumed to be hyperelastic with a polyconvex energy density and shall
exhibit an...
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