Although his full surname was Barré de Saint-Venant in mathematical literature other than French he is known as Saint-Venant. His name is also associated with Saint-Venant's principle of statically equivalent systems of load, Saint-Venant's theorem and for Saint-Venant's compatibility condition, the integrability conditions for a symmetric tensor field to be a strain.
Although his full surname was Barré de Saint-Venant in mathematical literature outside of French, he is commonly known as Saint-Venant. His name is also linked to several key concepts in mechanics and elasticity: Saint-Venant's principle for statically equivalent systems of load, Saint-Venant's theorem, and the compatibility condition for a symmetric tensor field to be a strain.