Rheological models pdf

The attached notes are written for a course on plasticity. Rheology is the science of deformation. This science poses a question for every material: Given a history of stress, how do we predict the history of strain, or the other way around?

Rheology answers this question using mathematical models. In constructing a rheological model, we let material evolve through a sequence of homogeneous, but multiaxial, states of stress and strain.

We represent a history of stress by a tensor as a function of time, and represent a history of strain by another tensor as a function of time. For a given material, we fit a rheological model to the experimental data of some histories of stress and strain, and then use the model to predict other histories of stress and strain.

Deformation is often large, and rheological models are usually nonlinear. This PCA Fig. Data points squares ; linear niques could be used independently to evaluate the regression solid line ; minimum and maximum tolerance intervals rheological properties of dark chocolates.

The Casson reference parameters yield value extrapolation data and multiplication factors should be and plastic viscosity and newer ICA recommenda- avoided as they give erroneous results. New York: Marcel and Dekker.

Cheng, D. Characterization of thixotropy revisited. Rheology Acta, 42, — Chevalley, J. Chhabra, R. We ICA ICA Determination of fat content of cocoa and chocolate products. Analytical Method References ICA Viscosity of cocoa and chocolate products. Aeschlimann, J. London: OICC, p. Journal of Texture Studies, 31, — Seguine, E. Casson plastic viscosity and yield value: what Afoakwa, E. The Manufacturing ing rheological and textural qualities in chocolate — a review.

Trends Confectioner, 11, 57— Servais, C. Determination of Afoakwa, E. Journal of Texture Studies, 34, — Technology, 39, — Baker, B. Measure- Ziegler, G. Particle size reduction. Papo, A. De Kee, D. Kantro, D. Concrete and Aggregate 20 1 — Box, E. Baillargeon, G. Download references. You can also search for this author in PubMed Google Scholar. Reprints and Permissions. Yahia, A. Applicability of rheological models to high-performance grouts containing supplementary cementitious materials and viscosity enhancing admixture.

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Sorry, a shareable link is not currently available for this article. Provided by the Springer Nature SharedIt content-sharing initiative. Skip to main content. Search SpringerLink Search. Abstract The knowledge of yield stress and plastic viscosity of cement-based materials is of special interest in various applications, including consolidation grouting, post-tensioning systems, and for numerical simulations.

References [1] Lombardi G.