Partial Differential Equation Toolbox
Partial Differential Equation Toolbox provides functions for solving structural mechanics, heat transfer, and general partial differential equations (PDEs) using finite element analysis.
You can perform linear static analysis to compute deformation, stress, and strain. For modeling structural dynamics and vibration, the toolbox provides a direct time integration solver. You can analyze a component’s structural characteristics by performing modal analysis to find natural frequencies and mode shapes. You can model conduction-dominant heat transfer problems to calculate temperature distributions, heat fluxes, and heat flow rates through surfaces. You can perform electrostatic and magnetostatic analyses, and also solve other standard problems using custom PDEs.
Partial Differential Equation Toolbox lets you import 2D and 3D geometries from STL or mesh data. You can automatically generate meshes with triangular and tetrahedral elements. You can solve PDEs by using the finite element method, and postprocess results to explore and analyze them.
Structural Mechanics
Perform linear static, transient, modal, and frequency response analyses. Evaluate mechanical strength by computing displacement, stress, and strain or simulate dynamic behavior of mechanical systems.
Heat Transfer
Perform steady-state, transient, or coupled thermal-stress analysis to compute temperature distributions and other thermal characteristics. Approximate dynamic characteristics using reduced-order models.
Electromagnetics
Perform electrostatic, magnetostatic, or harmonic analysis for the design of electrical and electronic components.
General PDEs
Solve second-order linear and nonlinear PDEs for stationary, time-dependent, and eigenvalue problems commonly arising in engineering and science.
Geometry and Meshing
Define a 2D or 3D geometry by importing STL, STEP, or mesh data or by creating parameterized shapes using geometric primitives. Generate finite element mesh using triangular elements in 2D and tetrahedral elements in 3D.
Visualization and Postprocessing
Visualize models and solutions by creating plots and animations of geometry, mesh, results, and derived and interpolated quantities by leveraging powerful MATLAB graphics. Interactively create and explore visualizations of PDE results using the Visualize PDE Results Live Editor task.
Automate, Integrate, and Share FEA Workflows
Automate FEA simulations using MATLAB, integrate with other MATLAB products to build end-to-end workflows, and share custom applications using App Designer and MATLAB Compiler.
