Standards Development

Scope

This document specifies the integrated generic resource constructs for isogeometric analysis representation.

These constructs support the representation of geometric models using isogeometric analysis methods, including NURBS-based surfaces and volumes, parametric representations, and analysissuitable geometric descriptions.

The following are within the scope of this document:

* the specification of isogeometric analysis geometric models and their parametric representations;

* the definition of NURBS surfaces, volumes, and curves suitable for analysis;

* the specification of control point structures and weight definitions for isogeometric elements;

* the association of parametric spaces with physical coordinates for analysis purposes;

* the definition of knot vectors and basis function specifications;

* the specification of refinement operations for isogeometric analysis meshes;

* the representation of boundary conditions and constraints in parametric domains;

* the specification of material property assignments within isogeometric representations;

* the definition of analysis-specific geometric transformations and mappings.

The following are outside the scope of this document: 

* the definition of specific analysis solvers or numerical methods;

* the specification of analysis results or solution data;

* the implementation details of isogeometric analysis algorithms;

* the definition of specific CAD system geometric representations;

* the specification of visualization or rendering methods for analysis results;

* the definition of specific file formats for isogeometric analysis data;

* constraints on the mathematical validity of NURBS representations.

Purpose

The isogeometric_analysis_schema specifies the representation structures for isogeometric analysis (IGA) methods. These structures enable the representation of geometric models using NURBS (Non- Uniform Rational B-Splines) and other parametric representations that are suitable for both geometric modelling and numerical analysis. The schema bridges the gap between Computer-Aided Design (CAD) and Computer-Aided Engineering (CAE) by providing analysis-suitable geometric representations.