Analysis of compaction in brittle foam with multiscale indentation tests

Bouterf, Amine; Maire, Éric; Roux, Stéphane; Hild, François; Brajer, Xavier; Gouillart, Emmanuelle; Boller, Élodie

doi:10.1016/j.mechmat.2017.12.004

Cited by 10 publications

(7 citation statements)

References 36 publications

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“…where S 0 is a constant (which can be neglected in the minimization), and S 2 is a quadratic form in δu whose kernel is the Hessian of T DVC , denoted as [M ] in Equation (22). The linear term in δu is absent as a result of S being minimum.…”

Section: Regularization Weightmentioning

confidence: 99%

“…Very early on, various types of foams were imaged via tomography and their behavior was studied thanks to DVC [207,11,197,181,59,15,64]. The degradation mechanisms of such materials in indentation experiments received some attention [231,20,22]. One of the reasons is that tomography reveals their in-situ temporal development, which can only be assessed post-mortem with other investigations.…”

Section: Introductionmentioning

confidence: 99%

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Digital Volume Correlation: Review of Progress and Challenges

et al. 2018

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3D imaging has become popular for analyzing material microstructures. When time lapse series of 3D pictures are acquired during a single experiment, it is possible to measure displacement fields via digital volume correlation (DVC), thereby leading to 4D results. Such ForewordThe present paper aims at reviewing the major developments in Digital Volume Correlation (DVC) over the past ten years. It follows the first review on DVC that was published in 2008 by its pioneer [11]. In the latter, the interested reader will find all the general principles associated with what is now called local DVC. They will not be recalled hereafter. In such approaches the region of interest is subdivided into small subvolumes that are independently registered. In addition to its wider use with local approaches, DVC has been extended to global approaches in which the displacement field is defined in a dense way over the region of interest. Kinematic bases using finite element discretizations have been selected. To further add mechanical content, elastic regularization has been introduced. Last, integrated approaches use kinematic fields that are constructed from finite element simulations with chosen constitutive equations. The material parameters (and/or boundary conditions) then become the quantities of interest.These various implementations assume different degrees of integration of mechanical knowledge about the analyzed experiment. First and foremost, DVC can be considered as a stand-alone technique, which has seen its field of applications grow over the last ten years. In this case the measured displacement fields and post-processed strain fields are reported. With the introduction of finite element based DVC, the measured displacement field is continuous. It is also a standalone technique. However, given the fact that it shares common kinematic bases with numerical simulations, it can be easily combined with the latter. One route is to require local satisfaction of equilibrium via mechanical regularization. Another route is to fully merge DVC analyses and numerical simulations via integrated approaches. Different examples will illustrate how these various integration steps can be tailored and what are the current challenges associated with various approaches.

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Section: Regularization Weightmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Digital Volume Correlation: Review of Progress and Challenges

et al. 2018

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“…The softening mechanisms turning on with the increase in both internal and external characteristic size of the system require additional study of interrelations between the multilevel nano-/micro-structure of wood and its physico-mechanical properties. However, there are reasons to suppose that micromechanics of thin filaments, walls, partitions, as well as the macromechanical behavior of wood may have a lot in common with those in other highly porous materials [ 148 , 149 , 150 , 151 , 152 , 153 , 154 ]. Therefore, the general approaches and models developed for the analysis of the latter can be applied to wood as well.…”

Section: Size Effects In Woodmentioning

confidence: 99%

Multiscale Mechanical Performance of Wood: From Nano- to Macro-Scale across Structure Hierarchy and Size Effects

et al. 2022

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This review describes methods and results of studying the mechanical properties of wood at all scales: from nano- to macro-scale. The connection between the mechanical properties of material and its structure at all these levels is explored. It is shown that the existing size effects in the mechanical properties of wood, in a range of the characteristic sizes of the structure of about six orders of magnitude, correspond to the empirical Hall-Petch relation. This “law” was revealed more than 60 years ago in metals and alloys and later in other materials. The nature, as well as the particular type of the size dependences in different classes of materials can vary, but the general trend, “the smaller the stronger”, remains true both for wood and for other cellulose-containing materials. The possible mechanisms of the size effects in wood are being discussed. The correlations between the mechanical and thermophysical properties of wood are described. Several examples are used to demonstrate the possibility to forecast the macromechanical properties of wood by means of contactless thermographic express methods based on measuring temperature diffusivity. The research technique for dendrochronological and dendroclimatological studies by means of the analysis of microhardness and Young’s modulus radial dependences in annual growth rings is described.

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“…Cracking mechanisms were studied for indented polycrystalline alumina and it was shown that radial cracks experienced mixed mode opening displacements [12]. Compaction and cracking in plaster was analyzed thanks to micro-and nano-tomography [13]. Very early damage was observed.…”

Section: Introductionmentioning

confidence: 99%

Probing Constitutive Models of Bohus Granite with In Situ Spherical Indentation and Digital Volume Correlation

et al. 2022

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Spherical indentation of granite was investigated using Digital Volume Correlation (DVC) aiming at probing constitutive laws of the studied rock. In situ indentation was performed within an X-ray tomograph. Finite element simulations of the problem, using different constitutive models, were carried out and their trustworthiness was assessed thanks to DVC residuals. Three laws were investigated, namely, pure elasticity, then compressible elastoplasticity, and finally compressible elastoplasticity coupled with damage. Frictional contact effects were studied as well. The results show that compressible elastoplasticity should be accounted for to achieve high accuracy of results, and that frictional effects are of importance in terms of damage extent. If macrocrack initiation is also sought, then damage features should be included in the model.

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Analysis of compaction in brittle foam with multiscale indentation tests

Cited by 10 publications

References 36 publications

Digital Volume Correlation: Review of Progress and Challenges

Digital Volume Correlation: Review of Progress and Challenges

Multiscale Mechanical Performance of Wood: From Nano- to Macro-Scale across Structure Hierarchy and Size Effects

Probing Constitutive Models of Bohus Granite with In Situ Spherical Indentation and Digital Volume Correlation

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