A catheter for delivery of an expandable intracorporeal device and method of using the catheter. The catheter may have an elongate shaft with a proximal section, distal section, proximal end and distal end. The distal section has a radially expandable shear barrier which is at least partially radially constrained by an outer radially constraining section. An expandable intracorporeal device, specifically an expandable endovascular graft, is disposed within an inner space within the radially expandable shear barrier. The catheter is guided to a desired site within a patient's body and the radial constraint of the outer radially constraining section is at least partially removed from the radially expandable shear barrier so as to allow the shear barrier and expandable intracorporeal device to expand and deploy. Typically, the radial constraint of the outer radially constraining section is carried out by relative axial movement between the outer radially constraining section and the radially expandable shear barrier.