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© 2011 ANSYS, Inc.

Introduction to Explicit Dynamics

Using ANSYS Workbench

Alexander Pett

ANSYS Horsham

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© 2011 ANSYS, Inc.

Contents

Explicit vs Implicit

Application areas

Solver Technology

Material requirements for explicit analyses

Which solver is appropriate

Parameterisation and Simulation Driven Product

Development

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© 2011 ANSYS, Inc.

Why Use Explicit Dynamics?

“Implicit” and “Explicit” refer to two types of time integration

methods used to perform dynamic simulations

Explicit time integration is more accurate and efficient for

simulations involving

• Shock wave propagation

• Large deformations and strains • Non-linear material behaviour • Complex contact

• Fragmentation

• Non-linear buckling

Typical applications

• Drop tests

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© 2011 ANSYS, Inc.

Problem Time Magnitude

Example Applications

- Implicit & Explicit

Creep Static/Dynamic Quasi-Static Detonation & Blast Hypervelocity Impact 1 year 10 s 0.1 s 0.01 s 0.001 s 0.0001 s Ballistics

IMPLICIT METHODS

1 s

EXPLICIT METHODS

Drop

Nonlinearity

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© 2011 ANSYS, Inc.

Example Applications

- Hypervelocity Impact

Space Debris & Micrometeoroid Impacts

High Energy Physics

CERN new LHC and Beam Dump

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© 2011 ANSYS, Inc.

Example Applications

- Detonation

Homeland Security – Street Blast

Blast Effects on Prestressed Bridge

Blast Effects in Masonry Building

Blast Effects on Armoured Vehicle

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© 2011 ANSYS, Inc.

Example Applications

- Ballistics

Tandem Warhead

Fragmenting Warhead

Experiment (below) courtesy Cranfield University Jet Impact on Concrete

Armor Impacts: - Lagrange (FE) above

- Euler below - SPH below right

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© 2011 ANSYS, Inc.

Example Applications

- Drop

Prestressed Gas Container Drop Laptop Drop

Water Container Drop – Using Polyflow Thickness

Nuclear Safety Shower Head Drop

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© 2011 ANSYS, Inc.

Example Applications

- Other “Low” Velocity Applications

Water Jet Golf Bunker Shot

Turbine Impellor Burst Impact on Welded Barrier

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Example Applications

- Quasi-static

Shackle Failure Tube Buckling Water “Splash” Wire Crimping

Window Locking Fixture Rubber Sealing

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FE

SPH

FV

Technology

- Solvers

• Lagrange – FE

– 2D & 3D Volume Elements

– 2D & 3D Shell Elements

– Beam/Truss Elements

• Lagrange – “Mesh Free”

– 2D & 3D SPH

• Euler – FV (VOF)

– 2D & 3D solvers for Solids, Liquids and Gases • Multiple materials (MM) with strength – 2D & 3D solvers for inviscid gas dynamics (FCT)

• ALE – FV

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© 2011 ANSYS, Inc.

Solvers

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© 2011 ANSYS, Inc.

Technology

- Connections & Coupling

Lagrange (FE) Solvers (Solids, shells & beams)

Structural Response Complex Materials

Euler (CFD) Solvers (Multi-material, Blast)

Solid / Gas / Fluid Flow Blast Waves

Interactions

Solid Impact

FSI (Deforming

Structures)

Combined Blast &

Impact Loading

Mesh Free Solver

Hypervelocity Impact Brittle Material Fracture /

Fragmentation

ALE Solver

Fluid-Structure Interaction with Strong Structures

Coupling

Bonding /

Contact

Bonding / Contact

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Spatial Discretization

• Geometries (bodies) are meshed into a (large) number of smaller elements

• Structural elements used in ANSYS Explicit Dynamics have Lagrange formulations

– i.e. elements follow the deformation of the bodies

• ANSYS AUTODYN allows other formulations to be used

– Euler (Multi-material, Blast) – Mesh free (SPH)

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© 2011 ANSYS, Inc.

Explicit Model Set-Up

Trade-Offs

Accuracy

Computer

Time

Ease

of

Use

Running Explicit Dynamic problems requires making trade-off between Ease of Use (effort for setup), Accuracy and the time to complete a simulation

ANSYS Explicit Solutions make it easy and

convenient to make the trade offs required to complete a project in the shortest time with the least amount of labor.

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© 2011 ANSYS, Inc.

Defeaturing

In explicit analyses the timestep is proportional to the element size

therefore small geometric features can cause extended run times

Removing these small features (defeaturing) can significantly improve

timestep

This can be done at the geometry level or...

ANSYS Workbench provides several tools to do this at the analysis level

• Mesh based defeaturing

• Virtual topology

• Timestep can also be improved / maintained with numerical methods • Mass scaling

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© 2011 ANSYS, Inc.

Material Behaviour Under Dynamic Loading

In general, materials have a complex response to dynamic loading

The following phenomena may need to be modelled

• Non-linear pressure response • Strain hardening

• Strain rate hardening • Thermal softening

• Compaction (porous materials)

• Orthotropic behavior (e.g. composites)

• Crushing damage (e.g. ceramics, glass, geological materials, concrete) • Chemical energy deposition (e.g. explosives)

• Tensile failure

• Phase changes (solid-liquid-gas)

No single material model incorporates all of these effects

Engineering Data offers a selection of models from which you can choose based

on the material(s) present in your simulation

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© 2011 ANSYS, Inc.

Material deformation can be split into two independent parts

Volumetric Response

- changes in volume (pressure)

Equation of state (EOS)

Deviatoric Response

- changes in shape

Strength model

Also, it is often necessary to specify a

Failure model

as materials can only

sustain limited amount of stress / deformation before they break /

crack / cavitate (fluids).

Change in

Volume

Change in

Shape

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© 2011 ANSYS, Inc.

• Normal impact of tungsten sphere on thick steel plate at 10 kms-1

• Lagrange Parts used with erosion

• Johnson-Cook strength model used to model effects of strain hardening, strain-rate hardening and thermal softening including melting

Effects of Strain Hardening

(Johnson-Cook Model)

Hypervelocity Impact

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© 2011 ANSYS, Inc.

Brittle / Granular

Johnson-Holmquist Strength

• Use to model brittle materials (glass, ceramics) subjected to large pressures, shear strain and high strain rates

• Combined plasticity and damage model

• Yielding is based on micro-crack growth instead of dislocation movement (metallic plasticity) • Fully cracked material still retains some strength

in compression due to frictional effects in crushed grains

• Yield reduced from intact value to fractured value via a Damage function

• Damage accumulates due to effective plastic strain

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© 2011 ANSYS, Inc.

Failure

Tensile Pressure Failure

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Failure

Example : Impact on Ceramic Target

• 1449m/s impact of a 6.35mm diameter steel ball on a ceramic target

• Johnson-Holmquist Strength model used in conjunction with Crack Softening

Experiment (Hazell) Simulation

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© 2011 ANSYS, Inc.

Which Solver do I use?

Having the correct material model is not enough

It is also important to choose a solver which is suited to

the application area you are looking at

Some solvers are more appropriate for studying certain

areas than others

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© 2011 ANSYS, Inc.

Smooth Particle Hydrodynamics

Ballistics

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Mixed Solver Methodologies

Ballistics

• Impacts on concrete • SPH + FE

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© 2011 ANSYS, Inc.

Failure

Example : Impact on Ceramic Target

• 1449m/s impact of a 6.35mm diameter steel ball on a ceramic target

• Johnson-Holmquist Strength model used in conjunction with Crack Softening

Experiment (Hazell) Simulation

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Blast and Fragmentation

Contact, Erosion and Coupling can be used simultaneously in a numerical

simulation

Failure and fragmentation of components

Venting of fluids / gases through failed / fragmented components

Combined blast and fragment loading of structures

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© 2011 ANSYS, Inc.

Simulation Driven Product Development

Analysing single fixed designs can lead to valuable insights into their

behaviour

A greater depth of knowledge can be achieved by looking at multiple

design points. These may contain variations in the geometry, materials,

mesh settings etc etc

This process (virtual

prototyping) can be carried

out via the parameter

manager within ANSYS

Workbench

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© 2011 ANSYS, Inc.

Thank you for your time

Questions?

References

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