Block Format Keyword In this group, keywords are used to set default value, global parameter, analysis type, input/output print,
damping and ALE and CFD treatment for the whole model. For default value, it is still possible to overwrite in each
specific keywords.
Block Format Keyword In this group, keywords are used to combine material and property information (/PART), assemble model (/SUBSET) or define a separate model (//SUBMODEL).
Block Format Keyword Interfaces solve the contact and impact conditions between two parts of a model. Several interface types are available
in Radioss and use different contact treatments.
Block Format Keyword This law represents an isotropic elasto-plastic material using the Johnson-Cook material model. This model expresses material
stress as a function of strain, strain rate and temperature.
Block Format Keyword This law is identical to Johnson-Cook material (/MAT/LAW2), except that the material undergoes damage if plastic strains reach a user-defined value (). This law can be applied to both shell and solid elements.
Block Format Keyword This law models an isotropic elastic plastic material and combines Johnson-Cook material model with a generalized
damage model. The law is applicable only for solid elements.
Block Format Keyword This law combines an isotropic elasto-plastic Johnson-Cook material model with an orthotropic brittle failure model.
Material damage is accounted for prior to failure. Failure and damage occur only in tension. This law is applicable
only for shells.
Block Format Keyword This law describes the Hill orthotropic plastic material. It is applicable
only to shell elements. This law differs from LAW43 (HILL_TAB) only in the input of yield stress.
Block Format Keyword This law models an isotropic elasto-plastic material using user-defined functions for the work-hardening portion of the
stress-strain curve (for example, stress versus plastic strain) for different strain rates.
Block Format Keyword This law describes the Hill orthotropic material and is applicable only to shell elements. This law differs from LAW32 (HILL) only in the input of yield stress (here it is defined by a user function).
Block Format Keyword The Cowper-Symonds law models an elasto-plastic material. The basic
principle is the same as the standard Johnson-Cook model; the only difference between the two
laws lies in the expression for strain rate effect on flow stress.
Block Format Keyword This law describes the Zhao material law used to model an elasto-plastic strain rate dependent materials. The law is applicable
only for solids and shells.
Block Format Keyword This law is based on the Gurson constitutive law, which is used to model visco-elastic-plastic strain rate
dependent porous metals.
Block Format Keyword This law models an isotropic elasto-plastic material using user-defined functions for the work-hardening portion of
the stress-strain curve (that is, plastic strain versus stress) for different strain rates.
Block Format Keyword This law models an isotropic tension-compression elasto-plastic material law using user-defined functions for the work-hardening
portion of the stress-strain (plastic strain versus stress). This law can be defined for compression and tension.
Block Format Keyword This law describes the Thermal Hill orthotropic 3D material and is applicable only to solid elements. The yield stress
may depend on strain rate, or on both strain rate and temperature.
Block Format Keyword This law describes a semi-analytical elasto-plastic material using user-defined functions for the work-hardening portion
for tension, compression and shear (stress as function of strain).
Block Format Keyword This law is the Yoshida-Uemori model for describing the large-strain cyclic plasticity of metals. The law is based on
the framework of two surfaces theory: the yielding surface and the bounding surface.
Block Format Keyword This material law describes the behavior of brittle materials, such as ceramics and glass. The implementation is
the second Johnson-Holmquist model: JH-2.
Block Format Keyword This law allows modeling the ultra-high strength steel behavior at high temperatures and the phase transformation
phenomena from austenite to ferrite, pearlite, bainite and martensite during cooling.
Block Format Keyword Swift-Voce elastoplastic law with Johnson-Cook strain rate hardening and temperature softening. This law allows modeling
a quadratic non-associated flow rule.
Block Format Keyword This law describes the orthotropic elastic behavior material with Hill plasticity and is applicable to
shell and solid elements (/BRICK, /TETRA4 and /TETRA10).
Block Format Keyword This law represents an isotropic elastic-plastic material at high temperature using Hensel-Spittel yield stress formula.
The yield stress is a function of strain, strain rate and temperature. This material law can be used with an
equation of state /EOS.
Block Format Keyword An elasto-plastic constitutive material law using the 6th order Drucker model with a mixed Voce and linear hardening. Dependence on the Johnson-Cook strain rate and
thermal softening effects due to self-heating can also be modeled. The law is available for isotropic shell and solid
elements.
Block Format Keyword This law represents an isotropic elasto-plastic material using the Johnson-Cook material model. This model expresses
material stress as a function of strain and temperature.
Block Format Keyword Elasto-plastic material with isotropic von Mises yield criterion with plastic strain rate and temperature depending
nonlinear hardening.
Block Format Keyword Elasto-plastic constitutive law using the interpolated yield criterion of Corus-Vegter and the hardening law of Vegter,
accounting for strain rate dependency and thermal effect.
Block Format Keyword An elasto-plastic constitutive law using von Mises criterion with pressure dependence. The hardening law is linear
– nonlinear with an increasing exponential hardening.
Block Format Keyword This is a non-associated elasto-plastic model for polymer adhesives. The constitutive model is based on a I1-J2 criterion
that can be reduced either to a von Mises or Drucker-Prager type in compression.
Block Format Keyword Elasto-plastic strain-rate dependent material with isotropic von Mises yield criterion. This material law is available
for both solids and shells.
Block Format Keyword Radioss supports several different kinematic constraints, which are mainly used to impose acceleration, velocity, displacement
or temperature in structure or constraint the moving of structure. They are mutually exclusive for each degree-of-freedom
(DOF). Two kinematic conditions applied to the same node may be incompatible.
Block Format Keyword In Radioss the following load cases are available. Stress/strain as initial state could be considered by modeling, as well as
pressure, gravity, and thermal load.
Block Format Keyword Adaptive Meshing is used in metal forming to divide the element to better describe the geometry. /ADMESH/GLOBAL and /ADMESH/SET are not available for SPMD computation.
Optimization Keyword This manual contains the description of the keywords for the Radioss optimization. This manual is compatible with the version 2018 of Radioss.
Block Format Keyword Non-local regularization for elasto-plastic failure criteria (as in, dependent to plastic
strain) and shell thickness variation.
Format
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/NONLOCAL/MAT/mat_ID/unit_ID
Definition
Field
Contents
SI Unit Example
mat_ID
Material identifier.
(Integer,
maximum 10 digits)
unit_ID
Unit identifier.
(Integer,
maximum 10 digits)
Non-local internal
length.
(Real)
Mesh convergence element length
target.
(Real)
Comments
The non-local regularization is used to get mesh independent results
(size, orientation) in case of instabilities such as failure and/or
thickness variation (for shells). The mesh independent results imply a mesh
convergence for mesh sizes less than or equal to the maximum value you
set, . This maximum mesh size is then the highest mesh size used for which
results are mesh convergent.
The non-local formulation is compatible with
elasto-plastic material laws only. When activated, the computation of
the attached failure criteria based on plastic strain and/or the shell
thickness variation depends on a regularized nodal "non-local" plastic
strain calculated on the entire mesh. The non-local plastic strain at
nodes denoted is computed accounting for its own
gradient and its local counterpart
is computed at the Gauss points following the set of
equations:(1)
The parameters
and
are automatically set. You have to set the parameter (or , Comment 2) which defines a non-local "internal
length" corresponding to a radius of influence in the non-local variable
computation. This defines the size of the non-local regularization band (Figure 1).
The failure criterion damage variable is then computed
using the non-local plastic strain.(2)
Where, is the plastic strain at failure
depending on the failure criterion formulation.
To set the non-local
length parameter , you can select:
Directly input the value of in the input card if a direct
control on this parameter is needed. In this case, the parameter must be ignored.
Input the maximum mesh size for which results are mesh
convergent. The non-local regularization will then be effective for
all mesh sizes such as . In this case, an automatic set of is realized according to the value
of , and the input value of is ignored.
For instance, if you
want converged and mesh-independent results for a mesh size of
5mm, mm. In this case, the results
will be converged, mesh-size and mesh orientation independent
for mm.
When the non-local regularization is used for shell elements, an
additional regularization is made on the thickness variation computation
avoiding an additional localization issue. In the common local case (Figure 2), the compatibility of thickness
between shell elements is not ensured, due to the lack of kinematic
equations in the z-direction, and the thickness variation is locally
computed at Gauss points. By introducing the non-local plastic strain in the
"in-thickness" strain increment, the compatibility is restored (Figure 3).(3)
Where, is the non-local plastic
multiplier.
Note: This last point implies that the identified
parameters can be used on solid and shells, as results will be identical
within the same range of stress triaxiality .
Note: The method is not yet compatible with quadratic elements /TETRA10 and /BRIC20.
List of compatible material laws for shells thickness variation
regularization:
/MAT/LAW2 (PLAS_JOHNS)
/MAT/LAW22 (DAMA)
/MAT/LAW27 (PLAS_BRIT)
/MAT/LAW32 (HILL)
/MAT/LAW36 (PLAS_TAB)
/MAT/LAW43 (HILL_TAB)
/MAT/LAW44 (COWPER)
/MAT/LAW48 (ZHAO)
/MAT/LAW57 (BARLAT3)
/MAT/LAW60 (PLAS_T3)
/MAT/LAW63 (HANSEL)
/MAT/LAW64 (UGINE_ALZ)
/MAT/LAW72 (HILL_MMC)
/MAT/LAW76 (SAMP)
/MAT/LAW78
/MAT/LAW87 (BARLAT2000)
/MAT/LAW93 (ORTH_HILL)
(CONVERSE)
/MAT/LAW104 (JOHNS_VOCE_DRUCKER)
/MAT/LAW109
/MAT/LAW110 (VEGTER)
/MAT/LAW121 (PLAS_RATE)
List of elasto-plastic failure model and coupled damage model
compatible with non-local regularization:
MMC damage model in /MAT/LAW72
Damage model in /MAT/LAW76
/FAIL/BIQUAD
/FAIL/COCKROFT
/FAIL/EMC
/FAIL/HC_DSSE (for shells)
/FAIL/INIEVO
/FAIL/JOHNSON
/FAIL/ORTHBIQUAD
/FAIL/RTCL
/FAIL/SPALLING
/FAIL/SYAZWAN
/FAIL/TAB1
/FAIL/TAB2
/FAIL/USERi
/FAIL/WIERZBICKI
/FAIL/WILKINS
List of material laws with non-local regularized temperature computation:
/MAT/LAW104 (JOHNS_VOCE_DRUCKER)
/MAT/LAW109
Two additional specific
outputs, non-local plastic strain (NL_EPSP) and non-local
plastic strain rate (NL_EPSD) are available in ANIM and
H3D files. These are also available in time histories with
NL_PLAS and NL_EPSD for shells and
NL_PLAS and NL_PLSR for solids,
respectively. For more information, refer to Output Database.
1 Valentin Davaze, Sylvia
Feld-Payet, Nicolas Vallino, Bertrand Langrand, Jacques Besson,A non-local
approach for Reissner–Mindlin shell elements in dynamic simulations: Application
with a Gurson model, Computer Methods in Applied Mechanics and
Engineering 415 (2023), 116142, ISSN 0045-7825.
2 Valentin Davaze, Nicolas
Vallino, Bertrand Langrand, Jacques Besson, Sylvia Feld-Payet,A non-local
damage approach compatible with dynamic explicit simulations and parallel
computing, International Journal of Solids and Structures 228 (2021),
110999, ISSN 0020-7683.
3 Valentin Davaze, Numerical modelling of crack initiation and
propagation in ductile metallic sheets for crash simulations. Mechanics
of materials. University Paris sciences et lettres, 2019. English.