2012
DOI: 10.1002/nme.4287
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A Dissipation Gap Method for full‐field measurement‐based identification of elasto‐plastic material parameters

Abstract: Using enriched data such as displacement fields obtained from digital image correlation is a pathway to the local identification of material parameters. Up to now, most of the identification techniques for nonlinear models are based on Finite Element Updating Methods. This article explains how an appropriate use of the Dissipation Gap Method can help in this context and be an interesting alternative to these classical techniques. The Dissipation Gap Methods rely on the concept of error in dissipation that has … Show more

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Cited by 30 publications
(16 citation statements)
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“…However, problem (7) is often ill-posed and therefore regularization is required. Herein, the Tikhonov regularization [22] is utilized where the regularization term || || 2 with ||·|| denoting the usual L 2 norm, and a small nonnegative (damping) regularization parameter is added to (7). Under this circumstance, the update becomes where I is the identify matrix.…”
Section: Basic Formulationmentioning
confidence: 99%
See 1 more Smart Citation
“…However, problem (7) is often ill-posed and therefore regularization is required. Herein, the Tikhonov regularization [22] is utilized where the regularization term || || 2 with ||·|| denoting the usual L 2 norm, and a small nonnegative (damping) regularization parameter is added to (7). Under this circumstance, the update becomes where I is the identify matrix.…”
Section: Basic Formulationmentioning
confidence: 99%
“…Geymonat and Pagano [5] set the constitutive relation error (CRE) function as the objective function for linear elastostatic problems and then, a two-step algorithm was proposed to get the constitutive parameters. Later, Feissel and Allix [6] extended the objective function to cope with dynamic tests and Blaysat and Florentin et al [7] generalized the objective function to account for elasto-plastic material parameters. 1233 where d 0 ,ḋ 0 are initial displacement and velocity of the structure and M,C,K are the system mass, damping, and stiffness matrices, respectively.…”
Section: Introductionmentioning
confidence: 99%
“…The use of numerical tools to achieve this purpose is undeniably efficient, but a numerical model needs reliable material models and boundary conditions (among other points) in order to accurately predict the behaviour of a structure under blast loading. These material properties can only be derived and validated by experimental testing which can be usual tests in tension, compression, etc., or tests with more complex stress/ strain fields and using an inverse method [1][2][3][4]. The free air detonation of a high-explosive (HE) is a widely used way to generate a blast wave.…”
Section: Introductionmentioning
confidence: 99%
“…Displacement maps are usual DIC outputs. Such quantities are directly used for observation purposes (e.g., [17]), or are post-processed to characterize constitutive materials (e.g., [3]). It is worth mentioning that any measurement tool, especially in the field of mechanical engineering, begins to be well-founded as soon as its metrological performance is also known.…”
Section: Introductionmentioning
confidence: 99%