In accordance with our Quality Policy, COMSOL maintains a library of hundreds of documented model examples that are regularly tested against the latest version of the COMSOL Multiphysics® software, including benchmark problems from ASME and NAFEMS, as well as TEAM problems.
Our Verification and Validation (V&V) test suite provides consistently accurate solutions that are compared against analytical results and established benchmark data. The documented models below are part of the COMSOL Multiphysics® software’s built-in Application Libraries. They include reference values and sources for a wide range of benchmarks, as well as step-by-step instructions to reproduce the expected results on your own computer. You can use these models not only to document your software quality assurance (SQA) and numerical code verification (NCV) efforts, but also as part of an in-house training program.
Hysteresis in Piezoelectric Ceramics
Many piezoelectric materials are ferroelectric. Ferroelectric materials exhibit nonlinear polarization behavior, such as hysteresis and saturation at large applied electric fields. In addition, the polarization and mechanical deformations in such materials can be strongly coupled due to ... Read More
Uniform Layer Waveguide
Whenever dimensions in waveguides become small compared to the viscous and thermal boundary layers it is necessary to model acoustics using thermoacoustics. In the present model the thermoacoustic wave field in a shallow uniform waveguide is modeled and compared to an analytical solution. Read More
Sheet Metal Forming
This example benchmarks a NAFEMS validation model of a friction contact problem with an elastoplastic material model. A thin metal sheet is forced into a die by a punch. Both the compressing displacement and the release of the punch are modeled in order to compute the forming angle (at ... Read More
Flexible and Smooth Strip Footing on a Stratum of Clay
A common verification problem for geotechnical problems is a shallow stratum layer of clay. In this example a vertical load is applied on the clay strata and the static response and the collapse load are studied. The clay is modeled as an elastic-perfectly plastic material and the ... Read More
Finding the Impedance of a Parallel-Wire Transmission Line
A parallel wire transmission line is composed of two conducting wires in a dielectric such as air. The fields around such a transmission line are not directly confined by the conductors, and extend to infinity, although they drop off in rapidly away from the wires. This model ... Read More
Angle Crack Embedded in a Plate
This example reproduces a NAFEMS benchmark in which a plate with an angle crack is subjected to tensile loading. The J-integral is calculated and the stress intensity factors for Mode I and Mode II are compared to the benchmark results for several crack angles. Read More
k·p Method for Strained Wurtzite GaN Band Structure
This benchmark model computes the valence band structure of an unstrained and a strained bulk GaN wurtzite crystal, as a tutorial for users who wish to set up multiple wave function components with the Schrödinger Equation interface. The model follows the formulation given in the ... Read More
Material Characteristics of a Laminated Composite Shell
This model serves the purpose of validation and verification of the Linear Elastic Material, Layered model in the Shell interface. In COMSOL Multiphysics, composites are analyzed either based on Layerwise 3D elasticity theory through the Layered Shell interface or based on FSDT-ESL ... Read More
Triaxial and Oedometer Test with Modified Cam-Clay Material Model
In this example, triaxial and oedometer tests are simulated using the Modified Cam-Clay material model. A nonlinear stress-strain relation is recovered with the constant Poisson's ratio formulation. The hardening and softening behavior is recovered for normally consolidated and highly ... Read More
Surface Cracked Cylinder
In this benchmark example, a semi-elliptical crack at the inner surface of a cylinder is studied. The inside of the cylinder and the crack faces are subjected to a pressure load. The J-integral is calculated along the crack front, and the stress intensity factor is then compared with the ... Read More