Mechanics of solids is basic for aerospace, civil, mechanical engineering, biomedical engineering, and for several branches of physics, like materials science, and geology. Solid mechanics has got particular applications in various areas, like understanding the structure of living beings, surgical implants, and the dental prostheses’ designs.
Solid mechanics utilizes tensors for describing strains, stresses, and the relationships that exist between them. It is a huge subject due to its huge range of available solid materials, like wood, steel, biological materials, concrete, plastics, geological materials, and textiles.
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The Models that Describe the Process in Which Solids Respond to Applied Stress
The models that best describe the method in which solids do respond to applied stress are:
- Elastically – At a time when applied stress gets removed then the material comes back to its undeformed condition. The linearly elastic materials are those that deform to the applied load proportionally. It can be described by some linear elasticity equations, like Hooke’s law.
- Plastically – A material that behaves elastically does so when applied stress is lesser in comparison to a yield value. At a time when the stress tends to be greater compared to the yield stress then the material does behave plastically. It doesn’t even come back to its earlier state. The deformation which happens after yield tends to be permanent.
- Viscoelastically – Viscoelastically are materials that do behave elastically. They also have damping. When the stress gets applied and also removed then work needs to be accomplished against the damping effects. This is then transferred to heat in the material and it results in some hysteresis loop. This signifies that the response of material has got time-dependence.
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