ANSYS AUTODYN - Multiple Solution Techniques

ANSYS AUTODYN is the only commercially available non-linear program that offers a comprehensive set of solution techniques, enabling users to select the most appropriate and accurate solver possible for a wide range of problems.  The solution techniques can be combined in one problem.  For users who need different solution techniques for various problems, AUTODYN offers the same easy to use graphical user interface and material models to make the running of problems efficient and easy.

The solvers implemented in AUTODYN are: Lagrange Euler, ALE, SPH, Shell and Beam

Lagrange
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A coordinate system, where the coordinates move with the material.
Ideal for following material motion in regions of relatively low distortion and possibly large displacement.
Moderate pressure gradients can be simulated.
Material boundaries are well defined.
Pressure peaks are accurately predicted.
Erosion can be used to handle cause numerical difficulties caused by severe distortion. See also Lagrange Solution Technique Advantages for more details.

Euler
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The Euler solver uses a fixed numerical mesh where the physical material flows through the mesh.
The Euler processor is well suited for the description of fluid and gas behavior. Free surfaces and material interfaces can move through the fixed Euler mesh.
The material motions are tracked with sophisticated numerical techniques.
Because the mesh is fixed, large material deformations are easily handled.
Limiting numerical diffusion requires complex computations to accurately maintain material interfaces.
AUTODYN is able to model the strength and failure of materials with the Euler solver. See also Euler Solution Technique Advantages for more details.

Arbitrary Lagrange Euler (ALE)
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The ALE (Arbitrary Lagrange Euler) solver is similar to the Lagrange solver, however the grid is redefined, providing a continuous rezoning facility.
The grid is moved to improve the quality of the grid and the solution is remapped onto the new grid.
Grid motions range from pure Lagrange to pure Euler. In between the two grid motion can be defined with:
 - Equipotential algorithm used to position a node relative to its nearest neighbors.
 - Equal spacing in X or Y: The x or y-coordinate of each vertex node is moved to the average position of its four neighbors.
 - User defined
The ALE solver can eliminate difficulties caused by severe mesh distortions encountered by Lagrange subgrids.  See also ALE Solution Technique Advantages for more details.

Smooth Particle Hydrodynamics (SPH)
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SPH – Smooth Particle Hydrodynamics is a meshfree method
The SPH particles are interpolation points used to calculate the value of a function based on the sum the values from neighboring points, multiplied by a weighting function (the Kernel function).
SPH does not suffer from grid tangling in large deformation problems.
SPH handles very well the separation and cracking that typically occurs in materials such as concrete.   See also SPH Solution Technique Advantages for more details.

Shell
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With the Shell solver, it is assumed that the normal stress through the shell is small and can be neglected in comparison to the stresses in the plane of the shell.
The equations used in the shell processor apply to shells of arbitrary shape and include full bending theory.
The equations are solved explicitly and have a stability time-step governed only by the length of the shell segments.
A composite shell capability enables convenient modeling of composites containing multiple materials.
The shell processor may also be used in a mode where it represents a membrane.

Beam
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With the Beam solver it is assumed that the two of the normal stresses through the beam are small and can be neglected in comparison to the stresses in the line of the beam.  Elasto-plastic beam formulation is used with arbitrary large deformation and moderate rotations.
Groups of Beams can be generated conveniently with a single definition.  For visualization beams can have various types of crossections.

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