A membrane having at least one strip of a shape memory material and the at least one strip is sandwiched between a first layer and a second layer. A method for guiding bone regeneration which excludes the use of a tenting screw is also disclosed. The membrane may be useful for gradual displacing of the soft tissue covering bones. The gap developing between the bone and the displaced soft tissue may be filled with regenerated bone. The membrane allows the regenerated bone to form while the soft tissue heals. The membrane and method may be useful in dentistry for treating vertical bone defects. The membrane and method may also be useful for regenerating soft tissue between the bone and the displaced soft tissue.