Low Carbon Vehicle Technology Project (LCVTP) WS 7 Lightweight Structures - Technology Review November 17th 2011 Gerain t Willia ms WMG Developing robust predictive models for composites CAE Martin Gambling and Oliver Tomlin 17th November 2011 Presentation Overview Composite Modelling Issues Modelling Methods Data Capture and Calibration Design Optimisation Techniques Applications and Examples Presentation Overview The information presented here is largely derived from work carried out on the LCVTP “CAE Case study and training based on composite seat structure” project. This work was delivered in four stages: 1. Creation of seat back FE model, definition of material orientation and linear material model. 1. Optimisation of thickness, orientation and cut-outs for linear loading. 2. Development and correlation of non-linear material model. 3. Optimisation of design for crash (non-linear) loading. Each stage was disseminated to the LCVTP team via training and tutorials. Composite Modelling Issues • The complexity of different composite manufacturing techniques and raw materials can make predictive modelling a challenge. Ply stack Ply orientation Draping around curvature Resin system Fibre supplier + cross-section Sizing compounds Mould release agent and compatibility Processing parameters Composite Modelling Issues • Generally two types of failure occur, depending on the loading rate Low rate with fibre tensile failure, pullout from resin matrix and matrix failure. Easy to distinguish mechanisms. High rate loading, uses all mechanisms plus heating and pulverises the material. Modelling Methods Modelling methods differ depending on which loading rate is of interest. The choice is guided by what future use the material may be put to. Available analysis codes offer different specialisms in loading rate and varying support for composite materials: > Nastran linear static – > Genesis linear static with composite optimisation support – > Abaqus non-linear static – > LS-Dyna non-linear dynamic and optimisation support – Modelling Methods • Linear/non-linear static Can either be modelled using a simple model of the laminate with a strain criteria for failure interpretation by analyst (linear model), or explicit failure parameters for a non-linear model. Modelling Methods • Non-linear dynamic Requires detailed material parameters to create a nonlinear material model with post-failure behaviour captured. Modelling Methods • Given the correct choice of analysis code, there are options on how to treat the composite ply stack to correctly account for the laminate behaviour. Short Beam Shear Simulation Modelling Methods • The option chosen for the LCVTP project work was to define a nonlinear static material model in LS-Dyna, giving access to the full range of simulation types that might be required. This involved indepth understanding of the material’s mechanical properties and calibration of the models to guarantee predictive capabilities. Data Capture and Calibration • The process for the predictive modelling of composite materials in LS-Dyna was defined by GRM and WMG as: Define material data requirements Carry out coupon testing Compare FE result to test Extract figures from tests Understand differences Check performance of material model in component test. Build FE models of tests Update input figures where necessary. Data Capture and Calibration Data required from coupon testing Data specified by pre-processor for orthotropic orientations Data required from component testing Data Capture and Calibration Four tests designed to capture the key parameters The tests were recreated in LS-Dyna and correlated against the test results Values Test and Fibre Orientation EA, e11t, xt UD Tension 0o EB (=Ec), vBA, e22t, yt UD Tension 90o GAB, τ1, γτ1, γ1, gms, sc Shear (in lamina plane) +/-45o GCA, (=GBC) Shear (interlaminar) 0o Example Simulation Data Capture and Calibration • High quality correlation achieved to tension coupon tests 0 degree Tension 90 degree Tension Data Capture and Calibration • High quality correlation achieved to shear tests Lamina Shear Interlaminar Shear Data Capture and Calibration • Calibrated material model used to compare performance against 3-point bend test of closed top-hat section. Data Capture and Calibration • Some final calibration required. XT found to increase failure load. Compression values control gradient after 4mm Changes to compression values are realistic as these were not correlated in our coupon models. Changes to tension values are unrealistic as these were correlated in our coupon models. Data Capture and Calibration Based on the 3-point bend test calibration results and use of different modelling techniques for composites, the mis-match in results was seen to be related to the shortcomings of shell elements. It was noted that for most applications of the example structure (automotive seat back) there would be little need to extend beyond the shell element method. The cpu time required to model a Tshell element was significantly greater than for a Shell element (3 times as long). Design Optimisation Techniques With a calibrated FE models, there exists the opportunity to use design optimisation techniques to define improve the structural performance and/or reduce mass As part of the LCVTP activities the following optimisation studies were considered: > Linear seat frame optimisation using Genesis > LS-OPT non-linear seat frame optimisation > Preliminary non-linear optimisation studies using Genesis/LSDYNA interface GENESIS Optimisation Methods • The following methods are available within Genesis and other integrated structural optimisation codes LS-OPT Design Optimisation Techniques Successive Response Surface Method (SRSM) most commonly used method, and has been used on seat Initial DoE matrix of LS-DYNA simulations run and RSM generated Design variable ranges reduced about predicted optimum and new DoE matrix of simulation run Composite Seat Back Optimisation Target/allowable changes – Thickness – Ply orientation – Hole placement Due to the limitation in the number of variables that can be used with LS-OPT hole placement optimisation cannot practically be considered Allowing the introduction of weight reducing holes is possible using the GENESIS coupling method Targets Achievable in: LS-OPT Constant thickness only GENESIS Cupli YES Optimisation 1 Constant thickness and holes (max. thickness 5mm) Optimisation 2 Constant thickness and holes (max. thickness 10mm) - YES Optimisation 3 Variable thickness and holes (max. thickness 10mm - YES ) Composite Seat Back Optimisation Torsional Loading Load applied rearward to one corner of seat back, with maximum deflection limits: ‒625N < 20mm ‒1112N < 50mm Seat System Moment Moment applied rearward to seat back. Requirements are: ‒No failure up to 723Nm Composite Seat Back Optimisation GENESIS Optimisation studies performed considering ply orientations and potential hole positions Process driven by strength based limits of seat back moment Composite Seat Back Optimisation GENESIS Optimised design provided: Failure Index (composite stress) reduction from 1.2 to 1.05 Mass reduction from 3.2kg to 2.8kg Optimisation maintained uniform layup construction Composite Seat Back Optimisation LS-OPT Using LS-OPT, a Design of Experiments study was performed to determine the optimum seat back thickness and ply orientation Results – The main objective of this optimisation was to determine the optimal number and orientation of the plies in the seat back – The following results show the optimised seat back design using LS-OPT – A total of 24 plies giving a total thickness of 5.28mm (0.22mm per ply) Optimisation Thickness Results (mm) 0° Ply Interpreted Number of Individual Plies 1.90 9 45/-45° Plies 1.06 6 90° Ply 9 1.93 Composite Seat Back Optimisation LS-OPT – – – Response surface plots can provide the user with an understanding to how different variables can effect different objectives/constraints The example plots below show the dominating effect of increasing the 0° ply thickness over the 45° thickness The red points are the infeasible models LS-DYNA/GEN ESIS Optimisation Interface LS-DYNA interface developed at GRM to couple to Genesis Using Equivalent Static Load Method (ESL) interface allows all methods of optimisation to be undertaken linking to LS-DYNA implicit and explicit models As part of the LCVTP studies the method was extended to support composite materials Baseline Non-Linear Model(s) GENESIS Interpretation of Non-Linear Model GENESIS Optimisation Updated Non-Linear Solution Benefits of Coupling 300 Internal sensitivity calculations break the link between the number of design variables 2 0 0 and analysis calls Allows multiple non-linear and linear load cases to be considered in one optimisation Provides a quick route to the 'optimum' answer, without fully interrogating 1 design space LS-OPT Genesis Coupled Optimisation Number of Variables Composite Test Case Topometry (ply placement) optimisation performed on simple box beam model, considering 2 LS-DYNA analysis models > Torsion Loading > Cantilever Bending Optimisation successfully developed minimum mass layup to meet LS-DYNA requirements GENESIS / DYNA Topometry Example Pole Impact Load Path Optimisation Utilising GENESIS' Topometry Module, pseudo- topology results can be obtained for impact based solutions. Pole impact considered to determine optimal load path creation to minimise pole intrusion Direct load member developed, effectively eliminating significant deformations of the floor structure Applications and Examples LCVTP Correlation and Development Studies 80 60 40 20 0 -20 0 Formula 1 Structural Design 0.05 0.1 Summary Through existing experience and development work on the LCVTP programme GRM have worked together with WMG to develop robust analytical models of the glass/PA hot formed material The validated materials and methods have been applied to analysis of the seat back design to allow predictive performance assessments With the validated models design optimisation studies have been performed to reduce the mass of the seat back design The work with WMG has allowed GRM to further develop the methods in the field of composite optimisation