Tiefinelastische

Tiefinelastische can refer to a physical phenomenon or a mathematical concept, depending on the context. In physics, specifically in the study of material science and solid mechanics, it describes a type of deformation where a material undergoes significant and permanent changes in shape, but the energy dissipated during this process is relatively small. This contrasts with elastic deformation, where a material returns to its original shape after the stress is removed, and with perfectly plastic deformation, where all deformation is permanent. Tiefinelastische behavior often occurs in materials under high stress and strain, such as during ductile fracture or severe bending. It involves complex microstructural changes within the material.

In mathematics, the term might be used in differential equations or control theory to describe systems exhibiting a complex interplay between stiff and flexible components, or where responses are not immediate and show a degree of persistence. For instance, a system described by a differential equation with a very large ratio of coefficients could be considered "tiefinelastische." The precise mathematical definition and application would depend heavily on the specific field and the nature of the equations or functions involved. Without further context, "tiefinelastische" points to a characteristic of being deeply or significantly inelastic, implying a substantial and enduring deviation from an initial state.