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, 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
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
The vibration modes of a thin or thick circular disc are well known, and it is possible to compute the corresponding eigenfrequencies to arbitrary precision from a series solution. The same is true for the acoustic modes of an air-filled cylinder with perfectly rigid walls. A more ... Read More
This model example shows how to model nonlinear propagation of a cylindrical wave using the Nonlinear Pressure Acoustics, Time Explicit physics interface available in Acoustics Module of COMSOL Multiphysics. The interface implements the system of nonlinear acoustic equations in the form ... 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
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
In this model a Knowles ED23146 receiver (miniature loudspeaker) is connected to a test set-up consisting of a 50 mm (1 mm diameter) earmold tube and a so-called 0.4-cc coupler. The receiver is modeled using a lumped spice network and connected to the finite element domain at the tube ... Read More
This tutorial simulates a standard test and benchmark model for nonreflecting conditions and sponge layers for linearized Euler-like systems. It involves the propagation of a transient Gaussian pulse in a 2D uniform flow. The Convected Wave Equation, Time Explicit interface solves the ... Read More
In this example, the Extended Barcelona Basic Model (BBMx) is used to model oedometer, uniaxial swelling, triaxial, and constrained swelling tests on bentonite clays in order to recover the hydromechanical characteristics of the soil samples. There is a good qualitative agreement ... Read More
This tutorial simulates a small vibrating hemispherical particle in water. The particle has a radius of 1 mm and is oscillating in the axial direction at a frequency of 50 kHz. The vibrations induce acoustic waves in the fluid. The example demonstrates how to set up a thermoviscous ... Read More