Stresses and Strains in a Wrench This tutorial demonstrates how to set up a simple static structural analysis. The analysis is exemplified on a combination wrench during the application of torque on a bolt. Despite its simplicity, and the fact that very few engineers would run a structural analysis before trying to turn En Savoir Plus Heat Transfer by Free Convection This example describes an array of heating tubes submerged in a vessel with fluid flow entering at the bottom.

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The new Join Data Set is used to compare solutions corresponding to different meshes, time steps, or parameter values. Interactive Slice and Isosurface Plots Any scalar quantity of interest can be visualized by slice plots or isosurface plots. Quantities visualized can be one of many predefined expressions or be typed in as a user-defined expression.

New in version 4. Slices may be created by giving the total number of evenly distributed slice planes or by exact positioning using coordinate values. Similarly, isosurfaces may be created giving the total number of evenly distributed isosurface levels or the exact value of the levels.

Isosurfaces may in addition be colored using a completely different field quantity as a Color Expression. A non-interactive slice or isosurface plot can be turned into an interactive by just selecting a checkbox.

For time-dependent simulations the timeint operator enables time integration of already computed time-dependent solutions. The timeavg operator similarly computes the time-averaged value of any expression. For small-signal and prestressed analysis, the operator lintotalavg evaluates the average of an expression over all phases for a linearized solution.

The operator lintotalrms evaluates the root mean square RMS of an expression over all phases for a linearized solution.

The operator lintotalpeak evaluates the maximum of an expression over all phases for a linearized solution. New Previous Node and Next Node arrow buttons helps quick navigation between modeling steps. In the Model Tree, a D in the upper-left corner indicates that the node is a default node. View Screenshot Automatic Inverse of Interpolation Data The Interpolation table feature has been extended with an automatic function inverse.

This option is available in the Interpolation settings window for 1D interpolation tables. The name of both functions can be edited. Interpolation table functions and function inverses are made available in most text fields including those for initial conditions, material settings, boundary conditions, and results. By declaring quantities for the dependent variables and the source terms, the equation interfaces define and display units for all equation terms and quantities.

This makes it possible to mix equation-based modeling with other physics interfaces and at the same time make full use of the unit system in the model.

You can switch off the unit handling for working with dimensionless quantities. For equation-based modeling you can now access material property variables of library materials when defining your own expressions or equations. A New material container variable root. For example, root. For visualization, you can type the expression material. Unit handling is now available for partial differential equation modeling.

In this example, the expression nitf. Expressions with wrong units are highlighted in orange. A simulation of water flow in a 90 degree pipe elbow. The flow is simulated using the newly added k-omega turbulence model. Laminar Euler-Euler Two-Phase Flow The new Euler-Euler Model user interface for two-phase flow is able to handle similar types of simulations as the Bubbly Flow and Mixture Model user interface but is not limited to low concentrations of the dispersed phase.

In addition, the Euler-Euler Model interface can handle large differences in density between the phases, such as the case of solid particles in air. This makes the model suitable for simulations of fluidized beds. Air is injected at the bottom of the bed, while the solid phase and air is injected through two vertical slots just above the air inlet. The solid inlet mass flux is kept at a rate matching the outlet flux at the top of the bed.

Interior Wall The new Interior Wall boundary condition for single-phase flow makes it easy to define a thin-wall condition between two fluid domains. You no longer need to define a solid domain with a wall boundary condition on both sides, which can result in a dense mesh. Heat Transfer Module External Radiation Sources External radiation sources can now be defined in the Heat Transfer Module as sources at infinity or as point sources at finite distance. This option is available in the Heat Transfer physics interface and any physics interface that supports surface-to-surface radiation.

When defining a source at infinity, the power per unit area is input. This is typically used for incident sun radiation.

When defining a point source at finite distance, the total power input is given. Another new important feature of the Heat Transfer Module is that it you can define radiation on both sides of a boundary when surface-to-surface radiation is used.

This new option is available in the Heat Transfer physics interface and any physics interface that supports surface-to-surface radiation. This shell property makes is possible to model thin structures where the midsurface is offset from the location of the boundary of the original COMSOL geometry.

It also applies to imported CAD models. Prestressed modal and frequency-response analysis has been available for solids since the previous release and is now also made available for shells. When used for geometrically nonlinear analysis, a shell can be predeformed or prestressed and the modified modal frequency is automatically computed with aid of a very sophisticated and general linearization algorithm.

Applications include vibration analysis of any type of prestressed shell structure. The new version of the Structural Mechanics Module has expanded shell modeling functionality with surface offsets and prestressed vibration analysis. The picture shows surface contours of the von Mises stress at the bottom evaluation level of a bracket shell structure. Voigt material data order is now supported in addition to the previously available standard material data order.

A total of nine different ways of specifying elastic data are now available. New Tutorial Models The new version of the Structural Mechanics Module includes five new tutorials for important applications: Postbuckling Analysis of a Hinged Cylindrical Shell Tracing of a postbuckling path where neither the load nor the displacement increases monotonously.

Polynomial Hyperelastic Model This model shows how to implement a Mooney-Rivlin constitutive material model using a user-defined strain energy density. Sheet Metal Forming Demonstration of plastic metal forming using a rigid punch with elastoplastic deformation, contact, and friction.

The results are compared with experimental data. Nonlinear Magnetostrictive Transducer The magnetic field and displacement as functions of the applied current are computed for a magnetostrictive transducer where the BH curve is nonlinear. This model considers the case when the material is sufficiently prestressed so as to obtain the maximum magnetostriction.

Vibration of an Impeller A tutorial model that demonstrates the use of dynamic cyclic symmetry with postprocessing on the full geometry. This Model can be downloaded from the Model Library Update feature. Losses can be accounted for in several different ways in the Acoustics Module. The most advanced user interface covers full Thermoviscoacoustics phenomena. Another way to introduce losses are by using so-called equivalent fluid models directly in the Pressure Acoustics interfaces.

This introduces attenuation properties to the bulk fluid in contrast to the thermoacoustic model. The models include losses due to thermal conduction and viscosity, models for simulating the damping in certain porous materials, and macroscopic empirical models for certain fibrous materials.

When applicable, the equivalent fluid models are computationally much less heavy than, for example, solving a corresponding full poroelastic model. PMLs are artificial materials that very efficiently dampen waves and are used to represent infinite computational domains. They give very little or no reflection for a wide range of frequencies and angles of incidence and generalize the concept of non-reflective boundary conditions.

Thermoacoustic-Solid Interaction The new version of the Acoustics Module has new multiphysics interfaces for thermoacoustic-solid couplings in the frequency domain for 2D, 2D axisymmetric, and 3D models. The Thermoacoustic-Solid Interaction interfaces combine features from the Thermoacoustics and Solid Mechanics interfaces.

New Tutorial Models The new version of the Acoustics Module includes two new tutorials for important applications: Axisymmetric Condenser Microphone with Electrical Lumping This model is that of a simple axisymmetric condenser microphone. The model includes all the relevant physics and determines the sensitivity of the specific microphone geometry and material parameters. The model uses a lumped approximation for the electric small-signal problem but solves a full finite-element model for the acoustic-mechanical system.

The quiescent zero-point problem is solved fully using electrostatics and a membrane model. Acoustic Levitator This model is that of a simplified 2D acoustic levitator geometry driven at a constant frequency. Small elastic particles are released uniformly in the standing acoustic field and their path is determined when influenced by the acoustic radiation force, viscous drag, and gravity. View Screenshot A new tutorial of a condenser microphone shows how to setup a multiphysics model combining electrical, mechanical, and thermoacoustics effects.

It is used to very accurately determine the sensitivity to changes in the microphone geometry and material parameters. The resulting matrices are displayed directly in a table and they are also available for parametric or frequency sweeps. This functionality is available for all lumped parameters: capacitance, inductance, impedance, and admittance. Results node and table output from a capacitance matrix computation using the new Global Matrix Evaluation feature.

A four-port electrostatics simulation results in a 4-by-4 capacitance matrix which is displayed in table form. Automatic Differential Inductance Computation Small-signal analysis, which was introduced in Version 4. This feature is also available for other lumped parameters such as capacitance and impedance. Two new examples are available: Magnetic Lens This model uses the new Charged Particle Tracing user interface to compute the trajectories of electrons in a spatially varying magnetic field.

Quadrupole Mass Spectrometer This model computes the trajectories of ions of various molecular weights in a quadrupole. There are both AC and DC components of the electric field. For a frequency or geometric sweep it computes and displays the entire matrix in a table - which can used for a response graph or surface visualization using new table graph and table surface features.

An S-parameter matrix frequency sweep for a branch line coupler. MEMS Module Electromechanics Multiphysics Interface A new Electromechanics multiphysics interface combines solid mechanics and electrostatics with a moving mesh to model the deformation of electrostatically actuated structures. Applications include biased resonator computations with modal and frequency-response analysis as well as pull-in voltage computations.

Several new electromechanical tutorials are available: a suite of 2D and 3D models of a biased resonator showing how to model a stationary analysis, the frequency response, the normal modes, the pull-in voltage, and the transient response. The 3D versions of this suite of models are available from the Model Library Update. Thin-Film Damping The thin-fiIm damping user interface has been greatly simplified.

You can now add thin-film damping to a boundary directly in the Solid Mechanics interface. In a Fluid-Film Properties subnode you define the fluid properties, gas properties, and rarefaction effects. In a Border subnode you define the border condition: a pressure or a border flow.

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## COMSOL 4.2 USER GUIDE PDF

Discussion Closed This discussion was created more than 6 months ago and has been closed. To start a new discussion with a link back to this one, click here. If else condition syntax in comsol multiphysics 4. Can any one provide me syntax of if else condition in comsol.

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## Release History

Aralkree Parametric sweeps can now create Accumulated Probe Tables which enables a Probe to write multiparameter data to tables. This homogenization removes concentration gradients in the reactor at a set time interval. Multislice plots provide a shortcut for generating multiple slices in different directions. Capacitance and Lumped Parameter Matrices A new Global Matrix Evaluation tool computes and displays an entire lumped parameter matrix in one single step. The new version of the Structural Mechanics Module has expanded shell modeling functionality with surface offsets and prestressed vibration analysis. Expressions with wrong units are highlighted in orange.

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