Lecture

Statistical Mechanical Resistance: Ceramics

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In course

MSE-234: Mechanical behaviour of materials

Ce cours est une introduction au comportement mécanique, à l'élaboration, à la structure et au cycle de vie des grandes classes de matériaux de structure (métaux, polymères, céramiques et composites) ...

Description

This lecture discusses the statistical mechanical resistance of materials, focusing on ceramics. It covers the distribution of defects like microcracks, the Weibull statistic for quantifying mechanical strength, and the stable cracking behavior in compression. The Weibull distribution is used to characterize the breaking stress of fragile materials, and the lecture explains how to calculate the probability of failure based on the distribution of defects.

Instructors (3)

Andreas Mortensen

Andreas Mortensen is currently Professor and Director of the Institute of Materials at the Swiss Federal Institute of Technology in Lausanne (EPFL), where he heads the Laboratory for Mechanical Metallurgy. He joined the faculty of EPFL 1997 after ten years, from 1986 to 1996, as a member of the faculty of the Department of Materials Science and Engineering at the Massachusetts Institute of Technology, where he held the successive titles of ALCOA Assistant Professor, Associate Professor, and Professor. His research is focussed on the processing, microstructural development and mechanical behavior of advanced metallic materials with particular focus on metal matrix composites and metal foams, on infiltration processing and capillarity, and on damage and fracture in metallic materials. He is author or co-author of two monographs, around one hundred and eighty scientific or technical publications and twelve patents. Born in San Francisco in 1957, of dual (Danish and US) nationality, Andreas Mortensen graduated in 1980 from the Ecole Nationale Supérieure des Mines de Paris with a Diplôme dIngénieur Civil, and earned his Ph.D. in the Department of Materials Science and Engineering at MIT in 1986. Besides his academic employment, he was a postdoctoral researcher at Nippon Steel during part of 1986, and was invited professor at the Ecole des Mines in Paris during the academic year 1995 to 1996. He is a member of the editorial committee of International Materials Reviews and has co-edited four books. He is a Fellow of ASM, a recipient of the Howe Medal and the Grossman Award of the American Society of Metals, was awarded the Péchiney Prize by the French Academy of Sciences and the Res Metallica Chair from the Katholieke Universiteit Leuven, received three EPFL teaching awards, is one of ISIs Highly Cited authors for Materials Science since 2002 and was awarded an ERC advanced grant in 2012.

David Hernandez Escobar

Expertise Physical metallurgy, ceramics, micro-mechanical testing Education Ph.D. Materials Science and Engineering | 2016 – 2021 Michigan State University B.S. Materials Engineering | 2012 – 2016 Universidad Politécnica de Madrid

Julie Nathalie S Gheysen

Professionals experiences PhD student 2018–2022 Université Catholique de Louvain Teaching & PhD Courses Materials MSE-171 Introduction course of material science applied to usual building materials, especially concrete and metals. Description of their fabrication, mechanical and thermal properties and use in construction. Mechanical behaviour of materials MSE-234 This course provides an introduction to the mechanical behaviour, the processing, the structure and life-cycle o

Official source

Ontological neighbourhood

Chemical engineering

Materials science: Deformation of materials

Related concepts (30)

Stress (mechanics)

In continuum mechanics, stress is a physical quantity that describes forces present during deformation. An object being pulled apart, such as a stretched elastic band, is subject to tensile stress and may undergo elongation. An object being pushed together, such as a crumpled sponge, is subject to compressive stress and may undergo shortening. The greater the force and the smaller the cross-sectional area of the body on which it acts, the greater the stress. Stress has units of force per area, such as newtons per square meter (N/m2) or pascal (Pa).

Weibull distribution

In probability theory and statistics, the Weibull distribution ˈwaɪbʊl is a continuous probability distribution. It models a broad range of random variables, largely in the nature of a time to failure or time between events. Examples are maximum one-day rainfalls and the time a user spends on a web page. The distribution is named after Swedish mathematician Waloddi Weibull, who described it in detail in 1939, although it was first identified by Maurice René Fréchet and first applied by to describe a particle size distribution.

Compressive strength

In mechanics, compressive strength (or compression strength) is the capacity of a material or structure to withstand loads tending to reduce size (as opposed to tensile strength which withstands loads tending to elongate). In other words, compressive strength resists compression (being pushed together), whereas tensile strength resists tension (being pulled apart). In the study of strength of materials, tensile strength, compressive strength, and shear strength can be analyzed independently.

Classical mechanics

Classical mechanics is a physical theory describing the motion of macroscopic objects, from projectiles to parts of machinery and astronomical objects, such as spacecraft, planets, stars, and galaxies. For objects governed by classical mechanics, if the present state is known, it is possible to predict how it will move in the future (determinism), and how it has moved in the past (reversibility). The "classical" in "classical mechanics" does not refer classical antiquity, as it might in, say, classical architecture.

Statistical mechanics

In physics, statistical mechanics is a mathematical framework that applies statistical methods and probability theory to large assemblies of microscopic entities. It does not assume or postulate any natural laws, but explains the macroscopic behavior of nature from the behavior of such ensembles. Sometimes called statistical physics or statistical thermodynamics, its applications include many problems in the fields of physics, biology, chemistry, and neuroscience.

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