On the strain-energy density in linear elasticity
Copyright policy )On the strain-energy density in linear elasticity
SUMMARY Standard results from matrix theory are used to derive optimal upper and lower bounds for the strain-energy density in terms of the norm of the stress tensor in two and three dimensions. The approach also yields directly necessary and sufficient conditions for positive-definiteness.
- University of Michigan–Ann Arbor United States
- University of Michigan–Flint United States
- University of Michigan United States
Mathematical Modeling and Industrial Mathematics, Engineering, Applications of Mathematics, Physics, Mechanical Engineering, Engineering (General), Anisotropy in solid mechanics, Mechanics, Other numerical methods in solid mechanics, Numeric Computing, Analysis
Mathematical Modeling and Industrial Mathematics, Engineering, Applications of Mathematics, Physics, Mechanical Engineering, Engineering (General), Anisotropy in solid mechanics, Mechanics, Other numerical methods in solid mechanics, Numeric Computing, Analysis
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