truestraintruestress
Truestraintruestress is a coined term in materials science that refers to the coupled relationship between true strain and true stress during large plastic deformations. It is not a formal model, but a framing used to discuss how stress and strain evolve together under realistic loading paths where cross-sectional area changes and strain rates matter.
Definitions: True strain εt is defined as εt = ln(l/l0), where l is the instantaneous length and l0
Concept: The idea of truestraintruestress emphasizes the dynamic, path-dependent evolution of stress and strain, including effects
Mathematical framework: In constitutive modeling, σt is linked to εt (and possibly its rate) via a constitutive
Applications: The concept is relevant in metal forming, sheet stamping, extrusion, and finite element simulations that
See also: True stress, True strain, engineering stress, engineering strain, plasticity, large-strain mechanics.