I am building a sculpture using curved shapes. I'd like the appearance of a continuous, flowing object. Due to the curves and small size I cannot use clamps. I plan on the sculpture being 5 feet tall and 1 foot wide using various shapes around 3x2 inches. Any advice to make this strong and appear seamless?
A photo or drawing representative of the shape of your parts would be useful.
The strength of your assembly will depend on the force you can apply, in the example you provide, without clamps.
Masking tape can secure individual parts while the glue dries, but the strength of the joint will be far less than if you were able to use clamps.
Strong cord wrapped around a shape, with a loop to one side which can be twisted to tighten the assembly may provide a stronger glue joint.
Strap clamps exist which work in a similar manner. They use a strong webbing that is "cranked" in, to create the necessary force.
If you can tolerate holes in your work, to be filled later, brads can be used to join components. Drive the head below the surface then use wood putty and sand smooth.
Screws can be used in a similar manner, especially if the holes are counterbored, allowing for plugs to cover the screw head.
If succeeding parts overlap, the holes for the brads or screws would be covered and only the last or outside portions would require filling.