Lecture

Fracture Mechanics: Elliptical Cracks

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In course

CIVIL-526: Steel structures, selected topics

Design and dimensioning of load-bearing structures using structural steel, with emphasis on the specific methods related to steel-concrete composite elements (for buildings and bridges), fatigue (bridges) and fire (buildings). ...

Description

This lecture covers the analysis of elliptical cracks in materials under different loading modes, focusing on the equations and corrections for various crack geometries. It also discusses the influence of stress state, plastic zones, and the toughness of materials at break, considering factors like microstructure and loading speed.

Instructor

Alain Nussbaumer

Expertise Metallic structuresStructural glassFatigue and fracture mechanicsAssessment of existing structuresUltra low cycle Teaching & PhD Past EPFL PhD Students Luís Costa Borges, Claire Acevedo, Nariman Maddah, Farshid Zamiri Akhlaghi, Manuel Santarsiero, Luca D'Angelo, Cláudio Alexandre Pereira Baptista, Albano António Sousa, Jagoda Cupac, Ardalan Hosseini, Martin Garcia, Hossein Heydarinouri, Jian Zhan Past EPFL PhD Students as codirector Marina Rocha Courses Design of steel structures CIVIL-2

Official source

Related concepts (22)

Fracture

Fracture is the separation of an object or material into two or more pieces under the action of stress. The fracture of a solid usually occurs due to the development of certain displacement discontinuity surfaces within the solid. If a displacement develops perpendicular to the surface, it is called a normal tensile crack or simply a crack; if a displacement develops tangentially, it is called a shear crack, slip band or dislocation. Brittle fractures occur without any apparent deformation before fracture.

Materials science

Materials science is an interdisciplinary field of researching and discovering materials. Materials engineering is an engineering field of finding uses for materials in other fields and industries. The intellectual origins of materials science stem from the Age of Enlightenment, when researchers began to use analytical thinking from chemistry, physics, and engineering to understand ancient, phenomenological observations in metallurgy and mineralogy. Materials science still incorporates elements of physics, chemistry, and engineering.

Material

Material is a substance or mixture of substances that constitutes an object. Materials can be pure or impure, living or non-living matter. Materials can be classified on the basis of their physical and chemical properties, or on their geological origin or biological function. Materials science is the study of materials, their properties and their applications. Raw materials can be processed in different ways to influence their properties, by purification, shaping or the introduction of other materials.

Cauchy stress tensor

In continuum mechanics, the Cauchy stress tensor , true stress tensor, or simply called the stress tensor is a second order tensor named after Augustin-Louis Cauchy. The tensor consists of nine components that completely define the state of stress at a point inside a material in the deformed state, placement, or configuration. The tensor relates a unit-length direction vector e to the traction vector T(e) across an imaginary surface perpendicular to e: or, The SI units of both stress tensor and traction vector are N/m2, corresponding to the stress scalar.

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).

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