Efficient formulations of the material identification problem using full-field measurements

Zerpa, Jorge M. Pérez; Canelas, Alfredo

doi:10.1007/s00466-016-1291-1

Cited by 3 publications

(3 citation statements)

References 42 publications

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“…All rods had the same diameter, = 12 mm, and different lengths, . The bars are identified by their / ratios, 5,8,10,15, and 20 [1,2,5].…”

Section: Modelling and Simulation In Engineeringmentioning

confidence: 99%

“…In cases where neither is available, some of the methods, for example, the virtual fields method, cannot be used effectively. Moreover, some methods are restricted by the assumption of elasticity, for example, the constitutive equation gap method, the equilibrium gap method [11], or the elastodynamics experimental approach [14,15]. Some other inverse methods are specific to optimisation of elastoplastic properties during the manufacturing process design stage [16].…”

Section: Modelling and Simulation In Engineeringmentioning

confidence: 99%

See 1 more Smart Citation

Autotuning of Isotropic Hardening Constitutive Models on Real Steel Buckling Data with Finite Element Based Multistart Global Optimisation on Parallel Computers

Shterenlikht

Kashani

Alexander

et al. 2017

Modelling and Simulation in Engineering

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An automatic framework for tuning plastic constitutive models is proposed. It is based on multistart global optimisation method, where the objective function is provided by the results of multiple elastoplastic finite element analyses, executed concurrently. Wrapper scripts were developed for fully automatic preprocessing, including model and mesh generation, analysis, and postprocessing. The framework is applied to an isotropic power hardening plasticity using real load/displacement data from multiple steel buckling tests. M. J. D. Powell’s BOBYQA constrained optimisation package was used for local optimisation. It is shown that using the real data presents multiple problems to the optimisation process because (1) the objective function can be discontinuous, yet (2) relatively flat around multiple local minima, with (3) similar values of the objective function for different local minima. As a consequence the estimate of the global minimum is sensitive to the amount of experimental data and experimental noise. The framework includes the verification step, where the estimate of the global minimum is verified on a different geometry and loading. A tensile test was used for verification in this work. The speed of the method critically depends on the ability to effectively parallelise the finite element solver. Three levels of parallelisation were exploited in this work. The ultimate limitation was the availability of the finite element commercial solver license tokens.

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“…All rods had the same diameter, = 12 mm, and different lengths, . The bars are identified by their / ratios, 5,8,10,15, and 20 [1,2,5].…”

Section: Modelling and Simulation In Engineeringmentioning

confidence: 99%

Section: Modelling and Simulation In Engineeringmentioning

confidence: 99%

Autotuning of Isotropic Hardening Constitutive Models on Real Steel Buckling Data with Finite Element Based Multistart Global Optimisation on Parallel Computers

Shterenlikht

Kashani

Alexander

et al. 2017

Modelling and Simulation in Engineering

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show abstract

“…Other approach is proposed in Bertagna and Veneziani ( 2014 ), based on the application of model reduction techniques coupled with a proper orthogonal decomposition to accomplish the solution of 3D FSI in a computationally efficient way. Efficient implementations for solid mechanics problems have also been proposed in Avril et al ( 2010 ) and Pérez Zerpa and Canelas ( 2016 ) using a virtual fields method and a constitutive equation gap functional, respectively.…”

Section: Introductionmentioning

confidence: 99%

Mechanical Characterization of the Vessel Wall by Data Assimilation of Intravascular Ultrasound Studies

et al. 2018

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Atherosclerotic plaque rupture and erosion are the most important mechanisms underlying the sudden plaque growth, responsible for acute coronary syndromes and even fatal cardiac events. Advances in the understanding of the culprit plaque structure and composition are already reported in the literature, however, there is still much work to be done toward in-vivo plaque visualization and mechanical characterization to assess plaque stability, patient risk, diagnosis and treatment prognosis. In this work, a methodology for the mechanical characterization of the vessel wall plaque and tissues is proposed based on the combination of intravascular ultrasound (IVUS) imaging processing, data assimilation and continuum mechanics models within a high performance computing (HPC) environment. Initially, the IVUS study is gated to obtain volumes of image sequences corresponding to the vessel of interest at different cardiac phases. These sequences are registered against the sequence of the end-diastolic phase to remove transversal and longitudinal rigid motions prescribed by the moving environment due to the heartbeat. Then, optical flow between the image sequences is computed to obtain the displacement fields of the vessel (each associated to a certain pressure level). The obtained displacement fields are regarded as observations within a data assimilation paradigm, which aims to estimate the material parameters of the tissues within the vessel wall. Specifically, a reduced order unscented Kalman filter is employed, endowed with a forward operator which amounts to address the solution of a hyperelastic solid mechanics model in the finite strain regime taking into account the axially stretched state of the vessel, as well as the effect of internal and external forces acting on the arterial wall. Due to the computational burden, a HPC approach is mandatory. Hence, the data assimilation and computational solid mechanics computations are parallelized at three levels: (i) a Kalman filter level; (ii) a cardiac phase level; and (iii) a mesh partitioning level. To illustrate the capabilities of this novel methodology toward the in-vivo analysis of patient-specific vessel constituents, mechanical material parameters are estimated using in-silico and in-vivo data retrieved from IVUS studies. Limitations and potentials of this approach are exposed and discussed.

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A new robust formulation for optical-flow/material identification problems

Zerpa

Talou

Blanco

2019

Computer Methods in Applied Mechanics and Engineering

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Efficient formulations of the material identification problem using full-field measurements

Cited by 3 publications

References 42 publications

Autotuning of Isotropic Hardening Constitutive Models on Real Steel Buckling Data with Finite Element Based Multistart Global Optimisation on Parallel Computers

Autotuning of Isotropic Hardening Constitutive Models on Real Steel Buckling Data with Finite Element Based Multistart Global Optimisation on Parallel Computers

Mechanical Characterization of the Vessel Wall by Data Assimilation of Intravascular Ultrasound Studies

A new robust formulation for optical-flow/material identification problems

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