Saint-Venant's compatibility condition

Saint-Venant's compatibility condition is a principle in the field of elasticity that relates to the strain components in a material. It is essential for ensuring that the strain fields derived from stress components are consistent and physically realizable. In the context of linear elasticity, Saint-Venant's compatibility condition states that for a given displacement field to be continuous and differentiable throughout a domain, the strain components must satisfy certain mathematical relationships.