Strokes of the Genius (1700-1880) Augustin-Louis Cauchy o formalized the concept of stress in the context of a generalized three- dimensional theory Chapter 1.2 5
Strokes of the Genius (1700-1880) Augustin-Louis Cauchy l formalized the concept of stress in the context of a generalized three- dimensional theory 15 Chapter 1.2
Strokes of the Genius (1700-1880) Augustin-Louis Cauchy o Concepts of principal stresses and principal strains o Generalized Hooke's law o Equations of motion in terms of components of stress with their boundary conditions o Cauchy's relation of elasticity tensor Chapter 1.2 16
Strokes of the Genius (1700-1880) Augustin-Louis Cauchy l Concepts of principal stresses and principal strains l Generalized Hooke’s law l Equations of motion in terms of components of stress with their boundary conditions l Cauchy’s relation of elasticity tensor 16 Chapter 1.2
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Strokes of the Genius (1700-1880) ◆George Green(1837) Miller,Mathematician and Physicist GEORGE Elastic potential GREEN MATHEMATICIAN Elastic constants controversy PHYSICIST -1793- At most 21 independent elastic 1841 constants The revolution which Green effected in the elements of the theory Love-Mathematical Theory of Elasticity Chapter 1.1
Strokes of the Genius (1700-1880) 18 Chapter 1.1 The revolution which Green effected in the elements of the theory Love – Mathematical Theory of Elasticity George Green (1837) Miller, Mathematician and Physicist Elastic potential Elastic constants controversy At most 21 independent elastic constants
Strokes of the Genius (1700-1880) Adhemer Jean Claude Barre de Saint-Venant ● Saint-Venant Principle oSemi-inverse solution(1853) o Bending and torsion of a non-circular prismatic rod Chapter 1.1 9
Strokes of the Genius (1700-1880) Adhemer Jean Claude Barre de Saint-Venant l Saint-Venant Principle l Semi-inverse solution(1853) l Bending and torsion of a non-circular prismatic rod 19 Chapter 1.1