CalCuliX – Free static and dynamic elasto-plastic analysis tools

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CalculiX is a package designed to solve field problems. The method used is the finite element method.

With CalculiX Finite Element Models can be build, calculated and post-processed. The pre- and post-processor is an interactive 3D-tool using the openGL API. The solver is able to do linear and non-linear calculations. Static, dynamic and thermal solutions are available. Both programs can be used independently. Because the solver makes use of the abaqus input format it is possible to use commercial pre-processors as well. In turn the pre-processor is able to write mesh related data for nastran, abaqus, ansys, code-aster and for the free-cfd codes duns, ISAAC and OpenFOAM. A vda CAD interface is available. The program is designed to run on Unix platforms like Linux and Irix computers but also on MS-Windows.

The CalculiX package was developed by a team of enthusiasts in their raw spare time. They are employees of MTU Munich, an Aero Engine manufacturer in Germany which granted the publication.

For a quick overview of the capabilities of CalculiX the results of an investigation of a turbo-charger are presented. The model was build from scratch with CalculiX and the compressor model together with an example input deck can be found in the distribution. The calculations were done to determine the burst-speed and the highest allowable rotational speed concerning low cycle fatigue. In addition the eigenfrequencies were calculated to determine possible resonances with the vanes. The following picture shows the rotor with the bearing housing and some vanes. The models are meshed with 20 noded brick elements with reduced integration. The right and left side of the disks are connected with each other by equations to simulate cyclic boundary conditions. Since version 0.92 cyclic symmetry frequency calculations are possible to calculate eigenvalues and mode-shapes for certain nodal diameters of a rotational symmetric volume based only on a segment. The compressor is made of casted aluminum alloy (AlSi – C355) and the turbine of a high temperature alloy (Inco 713C) and both are loaded by pure centrifugal force.

Types of analysis

• static
  • linear
  • nonlinear
    • geometric nonlinearities
    • material nonlinearities
• frequency (linear)
• dynamic
  • linear
    • transient modal dynamics
    • steady state dynamics
      • harmonic periodic loading
      • non-harmonic periodic loading
  • nonlinear
    • implicit
    • explicit
• buckling
• heat transfer
  • steady state
  • transient
• coupled thermomechanical analysis
  • steady state
  • transient
• steady-state networks
  • aerodynamic networks
  • hydraulic pipe systems
• Laplace and Helmholtz problems by analogy
  • Electrostatics
  • Seepage flow
  • Inviscid incompressible irrotional flow
  • Lubrication
  • Linear acoustics
  • Shallow water waves
  • Diffusion mass transfer in a stationary medium

Materials

• linear elastic (isotropic, orthotropic or fully anisotropic)
• isotropic hyperelastic (compressible as well as nearly incompressible)
• deformation plasticity (Ramberg-Osgood)
• large deformation incremental isotropic (visco)plasticity with isotropic and kinematic hardening
• large deformation creep for isotropic materials
• fiber reinforced anisotropic hyperelastic materials (e.g. arteries)
• small deformation isotropic viscoplastic theory for elastically anisotropic materials
• small deformation anisotropic viscoplastic theory for single crystals
• user defined material

Elements

• 8-node brick element (full or reduced integration)
• 20-node brick element (full or reduced integration)
• 20-node incompressible element
• 4-node tetrahedral element
• 10-node tetrahedral element
• 6-node wedge element
• 15-node wedge element
• 6-node plane strain element
• 6-node plane stress element
• 6-node axisymmetric element
• 6-node shell element
• 8-node plane strain element (full or reduced integration)
• 8-node plane stress element (full or reduced integration)
• 8-node axisymmetric element (full or reduced integration)
• 8-node shell element (full or reduced integration)
• 3-node beam element (full or reduced integration)
• 3-node fluid element (for forced convection)
• 4-node, 5-node, 7-node and 9-node contact spring elements
• 2-node gap element
• 2-node linear and nonlinear springs
• 2-node linear dashpots
• composite constructs consisting of beam and shell elements

Loading

• concentrated forces
• distributed pressure
• centrifugal loading
• gravity loading with know gravity vector
• generalized gravity loading
• temperature loading
• residual stress
• concentrated flux
• distributed flux
• prescribed convection conditions and forced convection
• prescribed radiation conditions and cavity radiation

Boundary conditions

• single point constraints
• linear multiple point constraints
• cyclic symmetry conditions
• contact (small and large sliding)

Kinematic behavior

• Rigid body motion
• Nodes on a straight line defined by movable nodes
• Nodes in a plane defined by movable nodes
• Application of a mean rotation to a set of nodes
• Maximum distance MPC
• Pre-tension

Coordinate systems

• global Cartesian system
• local Cartesian system
• local cylindrical system

Linear equation solvers

• profile solver
• interface for the direct sparse matrix solver SPOOLES
• interface for the direct sparse matrix solver TAUCS
• interface for the direct sparse matrix solver of the SGI scientific library
• iterative solver (with diagonal scaling or Cholesky preconditioning)

Output options

• Displacements
• Stress
• Section forces for beams
• Strain
• Forces (including sum over sets)
• Temperature
• Equivalent plastic strain
• Energy density (including sum over sets)
• Internal variables
• Heat flux
• Heat sources
• Volume (including sum over sets)
• Total pressure (for networks)
• Mass flow (for networks)

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Maxima – Free Mathematic soft

Maxima is a system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations, polynomials, and sets, lists, vectors, matrices, and tensors. Maxima yields high precision numeric results by using exact fractions, arbitrary precision integers, and variable precision floating point numbers. Maxima can plot functions and data in two and three dimensions.

The Maxima source code can be compiled on many systems, including Windows, Linux, and MacOS X. The source code for all systems and precompiled binaries for Windows and Linux are available at the SourceForge file manager.

Maxima is a descendant of Macsyma, the legendary computer algebra system developed in the late 1960s at the Massachusetts Institute of Technology. It is the only system based on that effort still publicly available and with an active user community, thanks to its open source nature. Macsyma was revolutionary in its day, and many later systems, such as Maple and Mathematica, were inspired by it.

The Maxima branch of Macsyma was maintained by William Schelter from 1982 until he passed away in 2001. In 1998 he obtained permission to release the source code under the GNU General Public License (GPL). It was his efforts and skill which have made the survival of Maxima possible, and we are very grateful to him for volunteering his time and expert knowledge to keep the original DOE Macsyma code alive and well. Since his passing a group of users and developers has formed to bring Maxima to a wider audience.

We are constantly updating Maxima, to fix bugs and improve the code and the documentation. We welcome suggestions and contributions from the community of Maxima users. Most discussion is conducted on the Maxima mailing list.

To me it is a free version of Mathematica.

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Free FEM by Visual Basic

Here is a free tools written in Visual Basic.
It introduce the way of FEM.
and with the program ,
you can simply analysis some beam or column.

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Free NX Nastran

NX Nastran

NX Nastran is a premium computer-aided engineering (CAE) tool that major manufacturers worldwide rely on for their critical engineering computing needs to produce safe, reliable and optimized designs within increasingly shorter design cycle times. For over 30 years, Nastran has been the analysis solution of choice in almost every major industry including aerospace, defense, automotive, shipbuilding, heavy machinery, medical and consumer products – an industry standard for the computer-aided analysis of stress, vibration, structural failure/durability, heat transfer, noise/acoustics and flutter/aeroelasticity.

NX Nastran Solutions

NX Nastran is a standalone solution for the extended enterprise. Typically running on networked server CPUs, NX Nastran supports multiple users, multiple sites and/or multiple finite element pre- and post-processing applications, whether supplied by Siemens PLM Software or other CAE solution providers.

NX Nastran is ideal for customers who need a single flexible, robust and cost-effective finite element solver solution that is able to support a wide range of product performance simulation processes. It provides a high degree of interoperability with a large number of CAE applications and ensures a common simulation backbone across a wide variety of user needs and throughout the entire digital prototyping process. This ensures that all digital simulation results are consistent and readily accessible to all CAE users within an enterprise with the minimum of analysis re-work. Pursuant to this agreement, Siemens offers these NX Nastran solutions

Free within 300 nodes

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