A model for the influence of work hardening and microstructure on the evolution of residual stresses under thermal loading – Application to Inconel 718

This study proposes a model for the influence of work hardening and microstructure on the thermal relaxation of residual stresses. To construct such a model, an experimental campaign is first conducted on shot peened samples of Inconel 718 to generate different levels of residual stress and work hardening. The effect of the grain size and the size of the strengthening precipitates is investigated by producing two modified microstructures. Two shot peening conditions are used to introduce several profiles of residual stress and work hardening. These profiles are evaluated using X-ray diffraction. A thermal loading is then applied at 550°C with varying holding times, leading to a rapid but not complete relaxation of the residual stresses and work hardening. The experimental results exhibit the fact that the work hardening levels have a significant influence on this relaxation while the grain size and the size of the strengthening precipitates have a very moderate influence. Based on these experimental results, a model is proposed that considers the influence of work hardening on the thermal relaxation of residual stresses with some predictive applications. It is therefore possible to estimate the relaxation of residual stresses at any point on a shot peened part

A calibration procedure for the assessment of work hardening Part II: Application to shot peened IN718 parts

The objective of this paper is to discuss the application of the calibration methodology exposed in the previous part to shot-peened Inconel 718 specimens. Shot peening is commonly used to increase the fatigue life of critical parts such as Inconel 718 turbine discs. This surface treatment induces residual stresses, work hardening and possibly, gradients of microstructures that, in turn, affect fatigue life. Work hardening is a quantity that represents a set of physical and mechanical phenomena related to the level of disorder reached in the microstructure of the material. Work hardening is seldom taken into account in fatigue life assessment mainly because it is not possible to characterize this quantity directly. We propose to use the calibration methodology (see part I of this paper [1]) on samples shot peened with several conditions. The three complementary experimental techniques (microhardness, XRD and EBSD) are then used to determine through correlation curves the work hardening gradients. The meth-odology for characterizing the work hardening within shot peened specimens is first presented. A dis-cussion of the applicability of the method in this context is then provided. The results obtained for the different characterization methods and microstructural effects are analyzed in two different sections. Finally, the influence of shot peening conditions on residual stresses and on work hardening is dis-cussed, showing the interest of the proposed procedure to obtain a real picture of the mechanical state after shot peening

A calibration procedure for the assessment of work hardening part I: Effects of the microstructure and load type

This paper presents a methodology to define and quantify the level of work hardening locally in a material. The methodology is proposed after a thorough experimental study based on three complementary experimental techniques for microstructural characterizations: microhardness, X-ray diffraction (XRD) and Electron Backscatter Diffraction (EBSD) applied on Inconel 718 samples. In our analysis, several loading histories including single tension, single compression, high strain rates and low cycle fatigue have been investigated. The effects of the microstructure have been further investigated by modifying the size of the grains and the size of the strengthening precipitates. Experimental tests have also been simulated to choose a model variable able to represent work hardening. A reciprocal link between work hardening and experimental characterizations has then been established. Correlation curves have been proposed that enable to quantify the level of work hardening from the knowledge of the experimental data. Accuracy and complementarity of the three experimental approaches are discussed as well as the impact of the microstructure of the material on the measured quantities

Colloquium: Mechanical formalisms for tissue dynamics

The understanding of morphogenesis in living organisms has been renewed by tremendous progressin experimental techniques that provide access to cell-scale, quantitative information both on theshapes of cells within tissues and on the genes being expressed. This information suggests that ourunderstanding of the respective contributions of gene expression and mechanics, and of their crucialentanglement, will soon leap forward. Biomechanics increasingly benefits from models, which assistthe design and interpretation of experiments, point out the main ingredients and assumptions, andultimately lead to predictions. The newly accessible local information thus calls for a reflectionon how to select suitable classes of mechanical models. We review both mechanical ingredientssuggested by the current knowledge of tissue behaviour, and modelling methods that can helpgenerate a rheological diagram or a constitutive equation. We distinguish cell scale ("intra-cell")and tissue scale ("inter-cell") contributions. We recall the mathematical framework developpedfor continuum materials and explain how to transform a constitutive equation into a set of partialdifferential equations amenable to numerical resolution. We show that when plastic behaviour isrelevant, the dissipation function formalism appears appropriate to generate constitutive equations;its variational nature facilitates numerical implementation, and we discuss adaptations needed in thecase of large deformations. The present article gathers theoretical methods that can readily enhancethe significance of the data to be extracted from recent or future high throughput biomechanicalexperiments.Comment: 33 pages, 20 figures. This version (26 Sept. 2015) contains a few corrections to the published version, all in Appendix D.2 devoted to large deformation

Product–process interface for manufacturing data management as a support for DFM and virtual manufacturing

This research work was supported by SNECMA as part of the MAIA ( http://www.le-webmag.com/article.php3?id_ article=2&lang=) project, the Region Champagne-Ardennes and Sisson Lehmann of the Wheelabrator group.In order to tackle a continuous improvement of virtual engineering, product modelling has to integrate more knowledge that refers to every decision taken during the product development process. Those decisions have to be related to the assessment of the whole product life cycle. This paper particularly addresses the domain of product’s industrialisation that aims at selecting the manufacturing processes. This selection must currently be done as soon as possible and has to be strongly linked with product definition and computer aided design (CAD) modelling. Thiswork first presents some new results concerning a product–process interface to integrate manufacturing information in the product model and how it leads to the definition of the CAD model. Then this interface that also manages specific information coming from the manufacturing process (tolerances, stresses gradient…) is used to improve the wholemanufacturing process plan simulation. This process plan has, indeed, to track every material transformation issued from each manufacturing operation

Modeling of the shot peening of a nickel alloy with the consideration of both residual stresses and work hardening

Shot peening of turbine disk engines is performed in the aerospace industry in order to enhance fatigue life. This surface enhancement method generates beneficial modifications like superficial compressive residual stresses that are known to delay crack initiation and propagation. In the same way, work hardening is also introduced at the surface of the part during shot peening and can have a significant influence on fatigue crack initiation. Taking this parameter into account in the fatigue design of parts, in addition to the residual stresses, is a real challenge to be the most predictive. One possibility for this is to be able to predict it during the modeling of the shot peening process. In the present work, various peening conditions are considered in order to be able to propose a model able to account for the influence of coverage and Almen intensity on residual stresses and work hardening. The studied material is Inconel 718, commonly used for aeronautical parts. The X-ray diffraction method is used to obtain the in-depth residual stress and work hardening profiles. A three-dimensional numerical model is proposed to predict these quantities. Efforts are made to consider all recent advances in three-dimensional simulation of the process, in terms of coverage assessment, shot and treated part modeling. The numerical results are compared to the experimentally measured residual stresses and work hardening