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Multiscale Analysis of AiRframe Structures and Quantification of UncErtaintieS System

Periodic Reporting for period 3 - MARQUESS (Multiscale Analysis of AiRframe Structures and Quantification of UncErtaintieS System)

Periodo di rendicontazione: 2020-06-01 al 2021-05-31

MARQUESS will create a multi-scale modelling and simulation software platform for aircraft structural design and material selection to model and predict the behaviour of high performance polymeric composite and metallic materials. It will introduce a novel “bottom-up, top-down” approach to the labour-efficient and computationally economic analysis of airframes. This integrated computational tool will enable the onset and progression of failure in airframe structures to be predicted, with quantification and management of the uncertainties at each modelling scale.
MARQUESS will empower European aircraft designers with a toolset that will enable them to make key design decisions regarding aircraft structural design and material choice with quantified data to enable right first time design and thereby reduce development time and cost and hence satisfying the demand for aircraft at a faster rate.

This overall aim will be satisfied through the following objectives, which will be achieved through execution of tasks in the relevant work packages.
To identify and establish the multi-scale modelling methods to be implemented within the project by undertaking a detailed survey of past work on multi-scale modelling of materials and structures
To select and define the Platform 2 demonstrators to be analysed, and hence to inform the final selection criteria by articulating the engineering data input and output parameters to be satisfied by the multi-scale modelling framework
To characterise the inaccuracies in results of numerical models arising from assumptions, approximations and discretisation, and select methods for incorporation into an error estimation tool for trial implementation and integration into the multi-scale modelling work
To finalise the criteria required for selecting the modelling strategies to satisfy the case studies decided and identify and fully specify three multi-scale modelling strategies for incorporation into the project software via the innovative top-down, bottom-up modelling strategy to provide trial implementations of the chosen methods for multi-scale modelling and the tool for uncertainty quantification
To produce an extendable, modular design for the multi-scale modelling system and to implement and validate the software which embodies the bottom-up, top-down multi-scale modelling, the graphical user interface and the modelling-related error estimation against a range of test cases
To employ the developed multiscale software system and assess and benchmark its accuracy and demonstrate the usefulness of the multiscale software system with modelling-related error estimation, and its user interface, on current problems and demonstrate the benefits in terms of shortened overall design process and potential to enable a simulation-based method of compliance
WP1: A simple to understand “superposition” approach (supported by advanced error estimation) had been implemented through fully integrated Abaqus plugins. Focus in the project is placed on non-flying panel assemblies (as these are easily distributed and inclusion in journal publications does not prevent dissemination).

WP2: Given the type of multiscale analysis, errors in macroscopic “driving” model degrees of freedom were identified as important. All error/uncertainty estimation methods developed within MARQUESS have looked to quantify and propagate this source through the multiscale problems in an computationally efficient way, which are limited to epistemic uncertainties in macroscopic (global) models. Therefore, uncertainty in composite microscopic (detailed feature) models were included. After literature review, it was decided that the most pressing area of uncertainty at this scale is the description of interlaminar conditions, particularly near the point of failure (delamination). Delamination modelling strategies were compared with experimental data and each other to determine the most appropriate approach for the superposition methods implemented in MARQUESS.

Goal oriented error estimation is the most appropriate uncertainty analysis tool for the MARQUESS approach as it furnishes the system with quantified estimates of driving degree of freedom uncertainties. A publicly available Python based system has been released which demonstrates the ZZ based GOEE method for shells through working examples.

WP3: A conceptually simple superposition multiscale modelling approach, and implemented in the final plugin deliverable and supports multiple relevant feature models (composite fillet sections, bonded joints, “sunken” fillets). The complete plugin incorporates feature model generation, “M” matrix population, and multiscale sub modelling. The plugin incorporates a user friendly GUI to improve adoption. Error estimation tools are demonstrated via a user editable Python based GOEE implementation.

WP4: Internal software development and unit testing was completed. These involved comparing the MARQUESS precomputed solution with standard linear sub modelling approaches. In all cases (following minor bug fixes) the models showed excellent agreement (with differences limited to 1-2%).

WP5: GOEE systems were designed to utilise the same HDF5 structure as the main MARQUESS workflow, thereby allowing excellent levels of compatibility between the two computational processes. Parametrised models for identified feature models (fillet section, curved fillet section, sunk fillet section, and bonded joint) were produced allowing for discrete lamina realisation using continuum elements, with full user control on layup sequence and overall component geometry.
The key advances from the proposed software are articulated through the identified Key Innovations to create a flow of data between length scales.
-A unified framework for performing multi-scale simulation of aerospace structures made from metals and composites
-A hybrid top-down, bottom-up multi-scale methodology to combine the best aspects of sequential homogenisation and sub-modelling
- Automated generation of sub-models to facilitate highly refined modelling of large structures and improved exploitation of high performance
-Modelling-related error estimation integrated with the multi-scale analysis, enabling the effects of numerical approximations at all levels to be propagated through to structural predictions
-A novel holistic virtual prototyping strategy customised to suit aerospace applications
-An extendable software framework permitting further forms of sequential and concurrent multi-scale analysis
-Integrated graphical user interface for top-down and bottom-up multi-scale analysis and modelling-related error estimation

Results from MARQUESS will deliver outstanding benefits for Europe:
On the commercial level, aircraft designers will be able to use the methods and tools based on the holistic multi-scale modelling techniques being integrated and developed in the project to enhance their competitive offering
On the societal level, the modelling framework will provide quantitative justification that will enable the design of more environmentally friendly aircraft, which will bring benefits in terms of reduced pollution and even enhanced mobility as there will be better scheduling of aircraft maintenance resulting in more reliable operation.
On the scientific and technical level, systematic integration of the length scales will open new avenues for research.
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