Abstract: Fabric structures having elongation yarns and ground yarns that form a sheath are provided, with the structure having two connection segments and at least one expansion segment in between the connection segments. Heat treatment of the one or more expansion segments shrinks the length of the elongation yarns during manufacture. A tensile load applied to the fabric structure stretches the elongation yarns and unfolds the gathered sheath. The elongation yarns absorb energy as the fabric structure elongates. In some embodiments, the fabric structure has more than one expansion segment so that the deployment force of the structure is not constant. In some embodiments, the fabric structure includes a band in some portions.