add wiki

2026-06-01 09:36:33 +09:00
parent b7b79e38b1
commit b195ac126c
74 changed files with 3421 additions and 402 deletions
@@ -0,0 +1,58 @@
+---
+type: concept
+title: "Abaqus Kinematic Constraints and MPCs"
+complexity: advanced
+domain: computational-mechanics
+created: 2026-06-01
+updated: 2026-06-01
+address: c-000120
+aliases:
+  - Abaqus MPCs
+  - Abaqus multi-point constraints
+  - Abaqus linear constraint equations
+tags:
+  - concept
+  - finite-element-method
+  - abaqus
+  - constraints
+  - mpc
+status: current
+related:
+  - "[[Abaqus-Analysis-User-s-Guide-Volume-V|Abaqus Analysis User's Guide Volume V]]"
+  - "[[Abaqus Surface-Based Constraints and Couplings]]"
+  - "[[Abaqus Embedded Elements and Overconstraints]]"
+  - "[[Mixed Finite Element Formulations]]"
+  - "[[Abaqus User Subroutines and Utility Routines]]"
+sources:
+  - "[[Abaqus-Analysis-User-s-Guide-Volume-V|Abaqus Analysis User's Guide Volume V]]"
+---
+
+# Abaqus Kinematic Constraints and MPCs
+
+## Definition
+
+Abaqus kinematic constraints and MPCs impose algebraic relationships among nodal degrees of freedom beyond ordinary element connectivity.
+
+## How They Work
+
+The constraints chapter covers linear constraint equations, general multi-point constraints, kinematic coupling constraints, surface-based constraints, embedded elements, element end release, and overconstraint checks.
+
+Linear equations define explicit algebraic relationships between degrees of freedom. Built-in MPC types provide common rigid, pinned, beam-like, or tied kinematic relationships. User subroutine `MPC` can define custom constraints but can only use degrees of freedom that exist somewhere in the model.
+
+Kinematic coupling constraints tie selected degrees of freedom on a coupled region to a reference node. This creates a compact way to impose rigid-body-like motion or collect reactions without building a rigid part.
+
+## Why It Matters
+
+Constraints change the algebraic structure of the global system. They can simplify modeling, but competing constraints, contact, boundary conditions, or unsupported degrees of freedom can create overconstraints or misleading reactions.
+
+## Connections
+
+- [[Abaqus Surface-Based Constraints and Couplings]] covers the surface-region branch of the constraint workflow.
+- [[Abaqus Embedded Elements and Overconstraints]] covers constraint conflicts and diagnostic checks.
+- [[Mixed Finite Element Formulations]] supplies the broader constraint-enforcement context.
+- [[Abaqus User Subroutines and Utility Routines]] covers the user-code path for custom MPCs.
+
+## Sources
+
+- [[Abaqus-Analysis-User-s-Guide-Volume-V|Abaqus Analysis User's Guide Volume V]]
+