Material Modeling and Calibration - An Overview and Curriculum

         ▶SIMULIA E-learning Resources

 

One of the challenges of advanced simulation with Abaqus is knowing how to represent the materials in your structure.  Defining a simple linear elastic material model is pretty straightforward.  Defining a nonlinear elastic material, such as a rubber or elastomer material is a bit more complicated, but we have some well-developed courses to attend to learn more about that subject.  Rubber and elastomeric materials can get even more complicated than just their nonlinear elastic behavior, exhibiting significant viscous behavior and something called Mullin's  damage.  The image above shows test data exhibiting all of these behaviors.  It is very common that one needs to decide which behavior is important for your particular application.  Trying to develop an "all-encompassing" material model that captures things such as rate dependence, temperature dependence, etc., is often not required to get some good design guidance from simulation.      

We are going to create a series of e-learning posts that address common issues in material modeling and calibration.  This post will act as both an overview and curriculum.  Please check back on this post from time to time as we will be adding material every month or so.   

If the material behavior you are trying to replicate is homogeneous within the measured part of the specimen, then calibration can be carried out using equations – if you know them.  Two common non-homogeneous deformations are i) necking in a tensile test and ii) compression puck with friction.   For non-homogeneous deformations, we often use multi-element Abaqus analyses for calibration. Other times, the deformation might be homogeneous, but you don’t know the stress-strain relation equations (in closed form).  In that case we often use Abaqus analysis of a “unit-cube” for calibration.  We will have individual posts that describe each of these types of calibration approaches.

A New Material Model Calibration App in the 3DEXPERIENCE Platform

           Fun with Flags  (Fun with Error Norms)

           Calibration App Performance

           User Subroutine Calibration

           Using Extensometer test data in material model calibration

           Using NN Surrogates for material model calibration

                Using NN surrogates for material calibration: example 2

 

Material Modeling Symposium at the SAoE - June 18, 2018

Continuum Damage Mechanics: References

General Questions about Materials Modeling

Calibration of a homogeneous deformation using closed-form equations in Excel:

(some of these examples also show the use of Abaqus/CAE for calibration)

          Neo-Hookean Calibration of an Elastomer

          Yeoh Model Calibration of an Elastomer

          Understanding Prony series viscoelasticity - Part 1

 Understanding Prony series viscoelasticity - Part 2  (relation between storage & loss moduli and Prony series)

          Calibration of Prony series from DMA test data

          Linear and Nonlinear Viscoelasticity (updated Feb, 2021)

          Converting a *HYSTERESIS model to PRF form

          DMA Conversion Parameters, New in R2021x FD05

          Time-Temperature Superposition (TTS), TRS, WLF

          Time-Temperature Superposition using DMA test data

          Metal Plasticity  

Calibration of a homogeneous deformation using a unit-cube in Abaqus:

          Hyperelasticity with Permanent Set; Demo of Calibration in A/CAE

Calibration of a non-homogeneous deformation using Isight + Abaqus:

         Isight Calibration of a Bonded Rubber Puck

General Purpose Calibration using Isight optimization:

         Isight Corner : How to calibrate materials using Isight?

         Integrated Hyper+Prony Calibration solution for the time varying response of elastomers

Modeling and Calibration of Polymers and Plastics:

Playback - eSeminar on “Modeling of Polymers and Plastics with Abaqus”

Modeling of Adhesives

Calibration of a PRF Material Model for Polypropylene​​​​​​​

Multiscale Material Modeling (micromechanics):

      Multiscale Material Modeling in Abaqus/CAE with NASA's FEAMAC: Introduction

      Multiscale Material Modeling in Abaqus/CAE with NASA's FEAMAC: Workshop Example 1

      Multiscale Material Modeling in Abaqus/CAE with NASA's FEAMAC: Workshop Example 2

We will use this post to organize test data that can be shared:

         Sharing Material Test Data  - new material added Nov, 2024

We will use this post to organize test specimen models that can be shared:

         Sharing Abaqus test specimen models

 We will use this post to share UMATs and VUMATs:

          Sharing Abaqus UMATs, VUMATs, and User-Subs  

Future posts will cover these other topics:

General testing issues, common measurements issues, raw test data cleanup, extensometers (averaging), DIC methods

calibration tools – Excel, A/CAE, A/CAE plugins, Isight, MCalibration

Using tensile dogbone Abaqus models for calibration of necking

Defining a power law plasticity model for post-necking simulation in metals

Error norms ?

DS Knowledgebase Resources:

Creating custom material calibration plug-ins in Abaqus/CAE

Abaqus/CAE plug-in utility to calibrate Nitinol material behavior

Using cyclic stress-strain curves with kinematic hardening plasticity in Abaqus

Good reference papers for Abaqus material models (link to AUC/SCC paper search):

       Yang, et al, 2001 AUC ; (covers hyperelasticity, viscoelasticity and WLF)

       Experimental Characterisation and Modelling of Rubber for ABAQUS​​​​​​​

       Kim, et al, 2009 SCC  ; (covers Drucker Prager and DR creep for plastics):

 The Pressure and Temperature Dependent Creep Behavior Modeling of an Automotive Instrument Panel Material

       Strowig, et al, 2011 SCC ; (DIC measurements) :

 Using an Optical Measuring System for Identification of Material Parameters for Finite Element Analysis

Please comment on the area of material modeling and calibration that you would like to see discussed !

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