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+---
+type: concept
+title: "Midas Civil Nonlinear Time History and Hysteresis Models"
+created: 2026-06-02
+updated: 2026-06-02
+address: c-000166
+aliases:
+  - MIDAS Civil nonlinear time history
+  - midas Civil hysteresis models
+tags:
+  - concept
+  - finite-element-method
+  - midas-civil
+  - dynamics
+  - nonlinear-analysis
+status: current
+related:
+  - "[[Midas-Civil-Analysis-Reference|Midas Civil Analysis Reference]]"
+  - "[[midas Civil]]"
+  - "[[Direct Time Integration Methods]]"
+  - "[[Transient Dynamic Elasto-Plastic Analysis]]"
+  - "[[Abaqus Metal Plasticity Models]]"
+sources:
+  - "[[Midas-Civil-Analysis-Reference|Midas Civil Analysis Reference]]"
+---
+
+# Midas Civil Nonlinear Time History and Hysteresis Models
+
+## Definition
+
+Midas Civil nonlinear time history and hysteresis models are the direct dynamic analysis procedures and inelastic component laws used when member, link, truss, or fiber behavior changes during a time-dependent load history.
+
+## How It Works
+
+The manual describes nonlinear equations of motion, nonlinear static initialization, initial section-force consideration, initial stiffness options, and Newton-Raphson iteration with or without convergence calculation. Inelastic components include inelastic beams, inelastic General Links, and inelastic trusses.
+
+Hysteresis options include bilinear, trilinear, tetralinear, origin-oriented, peak-oriented, Clough, Takeda-family, slip, Ramberg-Osgood, and Hardin-Drnevich models. Multi-axial hinge models include kinematic hardening and P-M or P-M-M interaction. Fiber models include steel and concrete constitutive models for section response.
+
+## Solver Development Notes
+
+- Time integration, nonlinear iteration, and hysteresis state update must share one accepted-state timeline.
+- Hysteresis laws need explicit unloading/reloading rules; a yield surface alone is not enough.
+- Multi-axial hinge interaction requires robust section-force mapping and yield-surface projection.
+- Fiber sections require material-point state management inside a member-level element.
+
+## Connections
+
+- [[Direct Time Integration Methods]] gives the transient integration base.
+- [[Transient Dynamic Elasto-Plastic Analysis]] connects inertia and plasticity.
+- [[Abaqus Metal Plasticity Models]] and [[Abaqus Geomaterial and Concrete Plasticity]] provide constitutive comparison points.