Theorem of Minimum Complementary Energy The Theorem of Minimum Complementary Energy states that in any system undergoing elastic deformation or plastic...
Theorem of Minimum Complementary Energy
The Theorem of Minimum Complementary Energy states that in any system undergoing elastic deformation or plastic deformation, the minimum amount of energy required to deform the system is equal to the minimum amount of energy required to deform a reference system.
Key Points:
The theorem applies to both linear elastic deformation and non-linear elastic deformation.
It requires comparing the strain energy (the energy associated with the deformation process) in the original and deformed configurations.
The reference system is a hypothetical system with no deformation, from which the energy is extracted to calculate the strain energy.
The theorem implies that the minimum energy is not achieved when the system is completely strained or compressed, but when it is stretched or compressed only a little.
It provides a useful tool for analyzing and predicting the energy required to deform a material, which can be applied in various engineering and material science applications