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.
In this example, the homogenized elastic and viscoelastic properties of a particulate composite are computed based on the individual properties of elastic particles embedded in a viscoelastic matrix. Periodic boundary conditions are applied to a unit cell of the particulate composite ... Read More
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
This model demonstrates the inflation of a rubber balloon with four different hyperelastic material models. The results are compared with the analytical solution for a thin-walled, spherical vessel. Controlling the inflation of hyperelastic balloons is important in clinical ... Read More
In this example, a triaxial test is simulated using the Hardening Soil material model. The test consists of two stages; an initial isotropic compression followed by axial compression. A hyperbolic stress-strain relation is recovered. It is also verified that the asymptotic value of the ... Read More
Polymer hydrogels consist of a crosslinked network of long-chained polymers that has imbibed a large number of solvent molecules. Such materials are used in many biomedical applications, such as targeted drug delivery, tissue engineering, and stimuli-sensitive actuators. This benchmark ... Read More
In this example, a settlement and heave analysis of a shallow foundation resting on an unsaturated soil stratum is conducted with the Modified Cam-Clay and Extended Barcelona Basic soil models. The effect of pore suction due to movements in the phreatic line and the resulting settlement ... Read More
This example demonstrates the bending analysis of a simply supported composite laminate under sinusoidal distributed transverse load. The composite laminate is thick, with a thickness to side length ratio of 1/4. The laminate has three layers in a cross-ply layup. The model is solved ... Read More
This example demonstrates the wrinkling phenomenon in a thin sheet stretched uniaxially. The modified membrane theory, which incorporates the wrinkling model, ensures noncompressive principal stresses in the wrinkled region. The analytical results are compared to the numerical results. Read More
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
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