A prosthetic surgical heart valve adapted for post-implant expansion and having an inflow end and an outflow end, comprising: a valve member including a non-collapsible inner structural support stent (160, 162, 164) having three upstanding commissure posts extending in an outflow direction and spaced evenly around a periphery of the support stent (160, 162, 164) alternating with three arcuate inflow cusps midway between adjacent commissure posts, and three flexible leaflets attached along the commissure posts and inflow cusps of the support stent (160, 162, 164) configured to ensure one-way blood flow through the valve member, the support stent periphery defining a non-collapsible delivery and implant circumference having a first diameter, wherein the support stent (160, 162, 164) permits expansion of the periphery from the first diameter to a second diameter larger than the first diameter upon application of an outward dilatory force from within the support stent (160, 162, 164) substantially larger than forces associated with normal physiological use, the support stent (160, 162, 164) including a structural band extending around the periphery that permits expansion of the support stent (160, 162, 164), and the valve member having an exterior fabric covering, characterized by the valve member further having an expansion limiting flexible loop (140; 150; 170) having high tensile strength sewn to the fabric covering that permits the support stent (160, 162, 164) to expand from the first diameter to the second diameter and prevents over-expansion of the support stent (160, 162, 164) past the second diameter. a valve member including a non-collapsible inner structural support stent (160, 162, 164) having three upstanding commissure posts extending in an outflow direction and spaced evenly around a periphery of the support stent (160, 162, 164) alternating with three arcuate inflow cusps midway between adjacent commissure posts, and three flexible leaflets attached along the commissure posts and inflow cusps of the support stent (160, 162, 164) configured to ensure one-way blood flow through the valve member, a non-collapsible inner structural support stent (160, 162, 164) having three upstanding commissure posts extending in an outflow direction and spaced evenly around a periphery of the support stent (160, 162, 164) alternating with three arcuate inflow cusps midway between adjacent commissure posts, and three flexible leaflets attached along the commissure posts and inflow cusps of the support stent (160, 162, 164) configured to ensure one-way blood flow through the valve member, the support stent periphery defining a non-collapsible delivery and implant circumference having a first diameter, wherein the support stent (160, 162, 164) permits expansion of the periphery from the first diameter to a second diameter larger than the first diameter upon application of an outward dilatory force from within the support stent (160, 162, 164) substantially larger than forces associated with normal physiological use, the support stent (160, 162, 164) including a structural band extending around the periphery that permits expansion of the support stent (160, 162, 164), and the valve member having an exterior fabric covering, characterized by the valve member further having an expansion limiting flexible loop (140; 150; 170) having high tensile strength sewn to the fabric covering that permits the support stent (160, 162, 164) to expand from the first diameter to the second diameter and prevents over-expansion of the support stent (160, 162, 164) past the second diameter.