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.
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
The standard biventricular cardiac model is used to show how to set up fiber directions in a complex geometry. The fibers are then used to model the large deformation of the myocardium with the Holzapfel-Gasser-Ogden anisotropic material model. The Aliev-Panfilov equations are included ... Read More
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
This model example shows how to model nonlinear propagation of 1D finite-amplitude Acoustic waves in fluids using Acoustics Module of COMSOL Multiphysics. The model is based on the 2nd order Westervelt equation. The one dimensional nonlinear wave equation is solved in the time domain by ... Read More
In this example, a benchmark problem in dynamic fracture of brittle materials is analyzed using the AT1 phase-field damage model. An instantaneous tensile load is applied to a planar tension specimen with a pre-existing crack. Initially, the crack propagates perpendicular to the loading ... 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
In this model, sound created by a vibrating piston radiates through a baffled pipe. The impedance is measured and then used in an impedance boundary condition that replaces the surrounding air domain. This technique can be employed to reduce solution time and memory usage for large ... 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
Most metals and alloys undergo viscoplastic deformation at high temperatures. In case of cyclic loading, a constitutive law with both isotropic and kinematic hardening is necessary to describe effects such as ratcheting, cyclic softening/hardening, and stress relaxation. The Lemaitre ... 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