Rate-dependent, elastically-deformable devices according to various embodiments can be stretched and recovered at low elongation rates. Yet they become stiff and resistive to stretching at high elongation rates. These device can be utilized in orthotics, braces, and circulation-enhancing compression garments for the prevention of injury, promotion of personal health, and/or enhancement in human performance. The rate-responsive properties of the devices are critical performance enablers, as they allow the devices to provide a unique balance of comfort and performance that cannot be achieved with conventional, passive straps, braces, and compression garments.