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Local interaction simulation approach to modelling nonclassical, nonlinear elastic behavior in solids
Marco Scalerandi1, Valentina Agostini, Pier Paolo Delsanto
1INFM, Dip. Fisica, Politecnico di Torino, C.so Duca degli Abruzzi 24, Torino, Italy. scalerandi@polito.it
The Journal of the Acoustical Society of America
|June 26, 2003
Summary
A new model explains nonclassical nonlinear elasticity in materials with soft bonds. This model accurately predicts experimental observations, offering insights into material behavior and damage diagnostics.
Area of Science:
- Materials Science
- Solid Mechanics
- Nonlinear Dynamics
Background:
- Classical elasticity theory (Landau-type) fails to explain nonlinear behavior observed in many materials.
- Nonclassical nonlinear elasticity is characterized by stress-strain hysteresis and discrete memory.
- This behavior originates from soft 'bond' elements within a hard material matrix.
Purpose of the Study:
- To present a model explaining nonclassical nonlinear elastic behavior.
- To investigate the role of soft bond elements in material nonlinearity.
- To validate the model against experimental observations.
Main Methods:
- Development of a model treating soft elements as hysteretic or reversible elastic units.
- Connection of soft units in a one-dimensional lattice to elastic 'grain' elements.
- Utilizing the local interaction simulation approach (LISA) for calculations.
Main Results:
- The model successfully predicts experimental observations of nonclassical nonlinear elasticity.
- Demonstrated the capability of the model to capture hysteresis and discrete memory effects.
- Showcased the model's accuracy in predicting dynamic wave experiment dependencies.
Conclusions:
- The presented model provides a framework for understanding the physical origins of nonclassical nonlinear elasticity.
- The model is suitable for investigating fundamental aspects of material nonlinearity.
- The model has potential applications in material damage diagnostics.