The DANTE Mechanical Plasticity Model is defined as a set of functions utilizing nonlinear multiple phase mixture law consisting of:
The model is effective for stress reversal during quench hardening and service, while yield stress is different with stress reversal (Bauschinger) effect, requiring kinematic hardening. Carbide effects are explicitly included in the constitutive formulation, improving accuracy for high-carbon and alloy steels.
During quench hardening, stresses develop from the combined nonlinear effects of:
Stress reversal may also occur during service, under fatigue conditions with load ratios R < 0.
Because yield behavior changes after unloading and reverse loading, accurate modeling requires kinematic hardening. DANTE incorporates an Internal State Variable (ISV) model with kinematic hardening to capture this behavior.
Yield stress decreases with work hardening in one direction when unload, while load is in the opposite direction. This phenomenon, known as the Bauschinger effect, cannot be accurately captured using traditional effective strain models.
The DANTE ISV-based kinematic hardening model:
Accurately reproduces reverse stress–strain curves
Accurate strain prediction is fundamental to residual stress and distortion modeling. The DANTE Mechanical Model accounts for multiple strain mechanisms occurring during heat treatment and thermochemical processing, including:
Learn heat treatment. Explore simulation.
Start with the DANTE Student’s Guide to Heat Treating, a quick reference covering the fundamentals of heat treatment, steel microstructures, and common processes. Ready to go further? Get hands-on experience with DANTE through our student/trial license and explore real-world heat treatment simulations.
Explore our peer-reviewed studies and technical papers developed over the past 50 years in the industry by our engineers.
Have a project or a question about heat treating? Connect with our engineers for to discuss how DANTE can fit into your workflow.
See how the DANTE suite enables engineers to simulate quenching, distortion, hardness, stress, and metallurgical phases
Explore our case studies showing how DANTE FEA predicts distortion, hardness, phase changes, and residual stress.