Block Format Keyword
/MAT/LAW25 - Orthotropic Shell and Solid Material – Tsai-Wu Formulation (Iform =0)
Description
This law describes the composite shell and solid material using the Tsai-Wu formulation. The material is assumed to be orthotropic-elastic before the Tsai-Wu criterion is reached. The material becomes nonlinear afterwards. For solid elements, the material is assumed to be linearly elastic in the transverse direction. The Tsai-Wu criterion limit can be set dependent on the plastic work and strain rate to model material hardening. Strain and plastic energy criterion for brittle damage and failure are available. A simplified delamination criterion based on out-of-plane shear angle can be used.
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/MAT/LAW25/mat_ID/unit_ID or /MAT/COMPSH/mat_ID/unit_ID |
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mat_title |
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E11 |
E22 |
Iform |
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E33 |
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G12 |
G23 |
G31 |
f1 |
f2 |
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t1 |
m1 |
t2 |
m2 |
dmax |
Composite Plasticity Hardening
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Ioff |
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Ratio |
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b |
n |
fmax |
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Composite Yield Stress in Tension Compression
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Yield Stress in Shear and Strain Rate
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c |
ICC |
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Delamination
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d3max |
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Strain Rate Filtering
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Fsmooth |
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#RADIOSS STARTER /UNIT/1 unit for mat # MUNIT LUNIT TUNIT g mm ms #---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----| /MAT/COMPSH/1/1 composite example # RHO_I .001506 # E11 E22 NU12 Iform E33 144000 10000 .25 0 20000 # G12 G23 G31 EPS_f1 EPS_f2 4200 4200 4200 0 0 # EPS_t1 EPS_m1 EPS_t2 EPS_m2 dmax 0 0 0 0 0 # Wpmax Wpref Ioff ratio 1000000 0 0 0 # b n fmax 0 0 1000000 # sig_1yt sig_2yt sig_1yc sig_2yc alpha 10100 10100 10100 10100 0 # sig_12yc sig_12yt c Eps_rate_0 ICC 10068 10068 0 0 0 # GAMMA_ini GAMMA_max d3max 0 0 0 # Fsmooth Fcut 0 0 #---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----| #enddata #---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----| |
Where, , and are the stresses in the material coordinate system. The coefficients of the Tsai-Wu criterion are determined from the limiting stresses when the material becomes nonlinear in directions 1, 2 or 12 (shear) in compression or tension, as follows:
Where, the superscripts c and t represent compression and tension, respectively. This criterion represents a second order closed three-dimensional Tsai-Wu surface in , and space. F is the variable Tsai-Wu criterion limit defined as a function of plastic work (Wp) and the true strain rate (): Where, is the reference plastic work, b is the plastic hardening parameter, n is the plastic hardening exponent, is the reference true strain rate, and c is the strain rate coefficient. This Tsai-Wu surface is scaled outwards homothetically in all directions, due to increase in Wp and .
in directions, i = 1, 2. Stress is reduced according to damage parameter . Damage is reversible between and . When , damage is set to dmax and it is not updated further. Element deletion is controlled by the Ioff flag.
and When , the stress is set to zero in the layer. Element deletion is controlled by the Ioff flag.
From version 14.0 global material properties (membrane stiffness, bending stiffness, mass, and inertia) are calculated based on the material properties and layup (thicknesses) given in /PROP/TYPE11 card. They are used for stability, mass and interface stiffness. A material is still required at part definition level, but is only used for pre- and post- (visualization “by material”) and its physical characteristics are ignored. The previous formulation where stiffness and mass were calculated from the material associated to the part is still used, if the version number of the input file is 13.0 or earlier.
/ANIM/SHELL/EPSP - for plastic work output
PLAS (or EMIN and EMAX) for minimum and maximum plastic work in the shell WPLAYJJ (JJ=0 to 99) for plastic work in a corresponding layer
Note that a local unit system can be created for the material to avoid conversion. |
Law Compatibility with Failure Model
Elastic-Plastic Orthotropic Composite Shells in Theory Manual