On stretch-limited elastic strings

Motivated by the increased interest in modeling nondissipative materials constitutive relations more general than those from Cauchy elasticity, we initiate study of a class stretch-limited elastic strings: string cannot be compressed smaller certain length less its natural nor elongated larger greater length. In particular, consider equilibrium states for suspended between two points under force gravity (catenaries). We locations supports resulting tensile containing both extensible and inextensible segments situations: degenerate case when is vertical nondegenerate are at same height. then existence multiplicity with differing markedly strings satisfying classical relations.