Z-set software for material modeling

Z-set software | material behavior, durability analysis, fracture mechanics
Z-set software
Efficient tools for advanced material
modeling, damage analysis and 3D crack
propagation simulations
Transvalor S.A.
www.zset-software.com

The development team is formed by PhD mechanical
engineers specialized in numerical modeling and
simulation.
Our mission is to provide industry with solutions and
innovative technologies for advanced multi-disciplinary
analysis, with a special emphasis on materials related
issues.
We deliver our expertise in development of numerical
methods in structural computations for advanced non-
linear problems.
Our developments help mechanical engineers in
simulation of material behavior and optimization of
the final product design (durability prediction and
fatigue analysis).
Company overview

Z-set project
Research groups
Centre des Matériaux MINES ParisTech (50+)
A. Pineau, G. Cailletaud, J. Besson, S. Forest…
Research groups
ONERA – The French aerospace Lab (100+)
J.-L. Chaboche, F.-X. Roux, J.-F. Maire, …
• Common projects
• Shared developments
• Common code (SVN project)
• More than 1 Million lines of code
• ISO 9001 compliant (quality management)
VALORISATION
group
ARMINES, France
Computational mechanics
group
ONERA, France
Worldwide distribution by

Z-set history
1981-1982 First versions of Zébulon
1984 Unique version, 2D-3D, plasticity
1988 Unix/Sun Version, graphical post-processor, fracture mechanics, thermal problems
Beginning of the ’90s Available for all platforms, post-processing, interactive mesh generation, constitutive
equations
1991-1995 First C++ version
1996 First parallel version, ONERA
1997 Optimizer, diffusion laws
1998 Commercial Z-mat for Abaqus, beginning of the worldwide distribution
1999 New version of the GUI – Zmaster
2000 Dynamic and explicit solvers
2002 – 2003 Interface with other commercial FE codes (Ansys, Cosmos, etc.)
2004 Z-set becomes the official research code at Snecma and ONERA
2005 Development of the interface with world class CAO/mesh generation (OpenCascade,
INRIA)
2006 – 2013 Crack propagation (X-FEM, FEM), two-level parallel computing, new bricks to Z-mat
2014 Technological partnership with SIMULIA
2015 Z-set becomes the official research code at SafranTech
2017 Transfer tech support & commercial activities from ARMINES to Transvalor

Z-set software
Advanced post-processing tools
Constitutive laws
Fracture analysis
Structural non-linear analysis

Material modeling workflow
Classical FEA and design
optimization workflow
Z-setmaterialmodeling
andFEsolutions
Powerful lifetime assessment
models (Z-post)
Results analysis and optimization
Lifetime post-processing
Visualization and results treatment
Customized FE algorithms (Z-mat, Z-cracks)
• global consistent tangent operator
• acceleration methods
• remeshing
• crack propagation
Nonlinear material modeling (Z-mat, Zsopt)
• constitutive model implementation
• material parameters calibration
Finite Element
simulation
Modelisation setup

Z-set suite
Z-set is a comprehensive suite of integrated analysis
programs for general purpose structural analysis with a
special emphasis on advanced material representation
• Advanced material modeling library for major FE codes
• Material parameters identification GUI
• Generic optimization
• Damage and durability analysis post-processing
• Specific data visualization
• Crack initiation and propagation
• Add-on for large commercial codesv. 8.6

Z-mat - advanced material library

• Elasticity, hyperelasticity
• Plasticity, viscoplasticity
• Cyclic plasticity
• Damage
• Creep, relaxation
• Anisotropy (elastic, plastic, damage)
• Crystal plasticity
• Visco-elasticity
• Nonlinear behavior of multi-phase
materials (composite, polycrystals)
• Aging
• Porous plasticity
• Shape memory effect
• Polymer finite strain models
Models for industrial applications
• Aeronautics
• Car manufacturers
• Automotive equipment suppliers
• Energy
• Metals manufacturers
• Polymer, Rubber, Glass industry
Many material models

Z-mat material bricks
Elasticity Thermal strain Potential
Criterion
Flow
Isotropic hardening Kinematic hardening
Isotropic, cubic
transverse
orthotropic
anisotropic
mises, 2M1C, hill, ratio,
karafillis_boyce, full_hill,
tensile_mises, nouailhas,
linear_drucker_prager,
anisotropic, cast_iron,
bron, unsym, tresca,
etc..
constant, linear, power_law,
by_point, iso_table, linear_pp,
nonlinear, nonlinear_v1,
nonlinear _v2, nonlinear_bsi,
linear_nonlinear, nonlinear
_sum, nonlinear_double,
nonlinear_recovery, function
linear, nonlinear,
nonlinear_ai, ziegler,
nonlinear_phi,
nonlinear_evrad,
nonlinear_with_crit,
aniso_nonlinear, etc..
norton, hyperbolic,
strain_hardening, gsell,
modified_visco,
sellars_tegart, function,
abq_strain, norton_exp,
double_norton,
flow_sum, flow_sum_inv,
inv_exp,
interface_control,
plasticity,
use_global_function,
exponential_crystal
Behavior
gen_evp, crystal
porous_plastic,
2M1C, delobelle,
gurson, suvic,
stress_flow, etc..
linear_elastic,
linear_viscoelastic,
damage_elasticity,
gen_evp, hyper_elastic,
hyper_viscoelastic,
finite_strain_plasticity,
micromorphic, cosserat,
etc..
isotropic
anisotropic
step_phase
Damage
elastic,
anisotropic_elastic
plastic, creep
Hyperelasticity
arruda_boyce,
hookean_log, mooney,
neo_hookean, rivlin,
logarithmic,
mooney_mixed, ogden,
rivlin_mixed,
separable_log,
van_der_waals, etc..
..and many others

Z-mat material bricks
Elasticity Thermal strain Potential
Criterion
Flow
Isotropic hardening Kinematic hardening
Isotropic, cubic
transverse
orthotropic
anisotropic
mises, 2M1C, hill, ratio,
karafillis_boyce, full_hill,
tensile_mises, nouailhas,
linear_drucker_prager,
anisotropic, cast_iron,
bron, unsym, tresca,
etc..
constant, linear, power_law,
by_point, iso_table, linear_pp,
nonlinear, nonlinear_v1,
nonlinear _v2, nonlinear_bsi,
linear_nonlinear, nonlinear
_sum, nonlinear_double,
nonlinear_recovery, function
linear, nonlinear,
nonlinear_ai, ziegler,
nonlinear_phi,
nonlinear_evrad,
nonlinear_with_crit,
aniso_nonlinear, etc..
norton, hyperbolic,
strain_hardening, gsell,
modified_visco,
sellars_tegart, function,
abq_strain, norton_exp,
double_norton,
flow_sum, flow_sum_inv,
inv_exp,
interface_control,
plasticity,
use_global_function,
exponential_crystal
Behavior
gen_evp, crystal
porous_plastic,
2M1C, delobelle,
gurson, suvic,
stress_flow, etc..
linear_elastic,
linear_viscoelastic,
damage_elasticity,
gen_evp, hyper_elastic,
hyper_viscoelastic,
finite_strain_plasticity,
micromorphic, cosserat,
etc..
isotropic
anisotropic
step_phase
Damage
elastic,
anisotropic_elastic
plastic, creep
Hyperelasticity
arruda_boyce,
hookean_log, mooney,
neo_hookean, rivlin,
logarithmic,
mooney_mixed, ogden,
rivlin_mixed,
separable_log,
van_der_waals, etc..
..and many others
***behavior gen_evp
**elasticity isotropic
young 200000.
poisson 0.3
**potential gen_evp ep
*criterion mises
*flow plasticity
*isotropic nonlinear
R0 100.000
Q 100.000
b 10.000
*kinematic nonlinear
C 30000.0
D 150.000
***return
Z-mat input file

Some newly added material bricks..
Nonlinear isotropic hardening
with strain-range memory
Inverse strain rate sensitivity Influence of cyclic hardening
on viscous part of the stress
Static strain aging Hyperbolic sine viscoplastic flow rule
..and many others

Some newly added material bricks..
Hosford
Upper
Bron-Besson
Barlat91
Upper91
Karafillis-Boyce Cazacu-Plunkett-Barlat
Anisotropic
asymmetric
Isotropic Anisotropic
A new family of pressure independent yield criteria
A yield function for anisotropic materials. Application to aluminum alloys
F. Bron, J. Besson, Int. J. Plasticity, 20 (2004), pp 937-963
Mechanism-based modelling of plastic deformation in magnesium alloys
D. Steglich, X. Tian, J. Besson, European. J. Mech & Solids, 55 (2016), pp 289-303

Multimat – MF models for composite materials
Development of various localization/homogenization
schemes :
• Numerical (FE2)
• Analytic (GTFA)
Ti-MMC BLING*
(*BLING = BLaded rING)
Non-linear multiscale approach to predict damage
and plasticity of MMC
Ti6242 titanium alloy matrix reinforced with the SCS-6
silicon carbide fiber

Multimat features
• Recursive operations , i.e., behaviors of a material point may
themselves be a MULTIMAT behavior.
• Mean Field approach : homogeneous fields within phases, but
the characteristics of the constituents are represented
 localization rules (concentration and influence tensors) follow from
the ”Transformation Field Analysis” (Dvorak) : Voigt, Reuss,
Polycrystal, Mori-Tanaka, Self-Consitent, ...
• Generalized TFA method :
 local material laws give the relationship between the local
averages of stress and strain.
• Any Z-mat behaviors may be used in MULTIMAT
• Short and long fiber composites, polycrystalline
materials
• spherical or cylindrical inclusions
• volume fraction control
• anisotropy of constituents
• non-linear behavior of constituents
• damage

Multiscale modeling with MULTIMAT
fiber.mat
***behavior general_tfa
**localisation voigt
**material 0.6666 d
*file damage_el.mat
**material 0.3333 e
*file elastic.mat
***return
***behavior gen_evp
young 120000.
poisson 0.3
*criterion mises
*flow norton
n 3.
K 50.
R0 100.000
Q 100.000
b 10.000
***return
matrix.mat
**material 0.7 matrix
*file matrix.mat
**material 0.3 fiber
*file fiber.mat
***return
macro.mat

**material 0.7 matrix
*file matrix.mat
**material 0.3 fiber
*file fiber.mat
***return
macro.mat
fiber.mat
**material 0.6666 d
*file damage_el.mat
**material 0.3333 e
*file elastic.mat
***return
***behavior gen_evp
young 120000.
poisson 0.3
*criterion mises
*flow norton
n 3.
K 50.
R0 100.000
Q 100.000
b 10.000
***return
matrix.mat
***behavior gen_evp
young 120000.
poisson 0.3
***return
elastic.mat
***behavior gen_evp
young 120000.
poisson 0.3
**damage isotropic
*elastic
Y0 2.0
alpha 0.25
***return
damage_el.mat

Z-mat development platform
• Creation of new models in a data file by assembly of
material predefined objects
• Unlimited dependency of the coefficients on internal
variables and external parameters
• ZebFront, source code generator to implement new
models in a high level mathematical language
• Collection of robust integration algorithms
• Z-sim - constitutive equation driver

• Fully operational backward
Euler creep/relaxation behavior
supporting anisotropy and
having a consistent tangent
matrix
• Supports MULTIMAT
• Z-sim and Z-opt compatible
Z-mat development platform
@Class NORTON_BEHAVIOR : BASIC_NL_BEHAVIOR {
@Name testing_norton;
@SubClass ELASTICITY elasticity;
@SubClass FLOW flow;
@Coefs K, n;
@tVarInt eel;
@sVarInt evcum;
@Implicit
};
@PostStep {
sig = *elasticity*eel;
TENSOR4 tmp(psz,f_grad,0,0);
m_tg_matrix = *elasticity*tmp;
}
@CalcGradF {
ELASTICITY& E = *elasticity;
sig = E*eel;
f_vec_eel -= deto;
double tdv = theta*devcum;
TENSOR2 sigeff = deviator(sig);
double J = sqrt(1.5*(sigeff|sigeff));
double f = J;
if(J>0.0) {
TENSOR2 norm = sigeff*(1.5/J);
f_vec_eel += norm*devcum;
if(K.ok()) f_vec_evcum -= dt*pow(J/K,n);
else f_vec_evcum -= dt*flow->flow_rate(evcum, f);
SMATRIX dn_ds = unit32;
dn_ds -= norm^norm;
dn_ds *= tdv/J;
double dv_df = (K.ok()) ? tdt*n*pow(J/K,n-1)/K
: tdt*flow->dflow_dcrit();
TENSOR2 df_fs = dv_df*norm;
deel_deel += dn_ds*E; deel_devcum += norm; devcum_deel -=df_fs*E;
}
}

Z-mat – Functionality interfaces

Material model identification GUI
instrumentation panel
• templates management
• simulations and variables control
• choice of optimization strategy
Calibration project management Loading: temperature fields resulting
from a thermal shock cycle :
acceleration – full throttle - deceleration
• Time dependent plasticity
• Plastic strain
• Stress relaxation due to viscous effects
(very pronounced at high temperature)
Temperatures: 20°C, 250°C, 550°C,
650°C and 750°C.
Material model
M4828 Austenitic steel
Material behavior:

• Easy plug-in to FE codes
• Designed to be used with other User Subroutines
• Compatible with Implicit and Explicit solvers
• Supports most types of elements: volumic, shells, membranes etc.
• Comes with Z-sim and Z-opt software for fast material prototyping and
parameters fitting
• Robust integration algorithms (implicit, explicit and mixed)
• Safe multithreading for local integration
• Consitent Tangent Operator
Z-mat is a material modeling
and development platform

Z-post – data processing

Z-post – data processing
• FE simulation results import & export
• Post-processing data analysis with many algorithmic models
• Chained execution (one post can take the input from previous one)
• Unlimited transfer of results between nodes and integration points
• Advanced durability and life estimation (cycle extraction, counting and damage)
• Efficient multithreading and MPI parallelized
DATA WRITER
DATA READER
PROCESS 2
PROCESS 1
PROCESS N

• Models for both LCF and HCF regimes
(i.e., the entire S-N curve)
• Multiaxial capabilities
• Modeling of the mean stress influence (Haigh
diagram, loading factor influence on S-N curve)
• Possible coupling with creep damage to account for
frequency effects
• Possible nonlinear accumulation of damage for the
correct representation of experimentally observed
effects.
Z-post fatigue models
Aluminum wheel rim
lifetime prediction

Chaboche fatigue model (S-N curve)
• Input from cyclic FE computation: stress history on a cycle
(stabilized cycle) at each point of the structure (IP or node)
• Evaluate stress range 𝝈 𝒂 , mean stress 𝝈 and maximum stress
𝝈 𝒎𝒂𝒙 on a cycle
• Compute lifetime 𝑁𝑓
• User parameters : a, 𝛽, M, 𝜎𝑙, 𝜎 𝑢
• External parameters: temperature or any other field parameter
Governing equation
Increasing mean-stress
reduces the fatigue life
Fatigue limit
asymptote
Ultimate stress

FEA Technology & HPC

FEA Technology & HPC
Biomechanics
Characterization of the risk
of osteoporosis
(10 Mln DOF)
Nuclear energy
Local fields in bainitic steel
Crystal plasticity (10 Mln DOF)
Aerospace industry
Turbine disc (0.5 Mln. DOF)
Materials
Creep of electrocast
refractory (4 Mln. DOF)
Tire industry
Polymers with carbon particles
(4,5 Mln. DOF)
Coupled problems
TGMF test
Aero-thermo-mechanical
simulation
Automotive industry
Residual stresses in a cylinder
head due to quenching
(2.5 Mln DOF)

THANK YOU.
For more information, feel free to contact us.
ProSIM R&D Pvt. Ltd.
www.pro-sim.com

Z-set software for material modeling

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