A three-family (tri-pantographic) continuum is proven complete, meaning its stored energy gives positive quadratic control over every second-gradient deformation mode, while two-family pantographic fabrics are shown to be incomplete.
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On the synthesis of complete two-dimensional second-gradient continua: Tri-pantographic fabrics
A three-family (tri-pantographic) continuum is proven complete, meaning its stored energy gives positive quadratic control over every second-gradient deformation mode, while two-family pantographic fabrics are shown to be incomplete.