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Lecture

Fracture of Materials: Review of Exercises 8

In course

MSE-424: Fracture of materials

This course covers elementary fracture mechanics and its application to the fracture of engineering materials. ...

Description

This lecture covers the review of exercises related to fracture of materials, focusing on concepts such as the essential work of fracture, tearing energy of an ideal elastomer, and the minimum fracture energy threshold. The instructor explains the physical meaning of key quantities and conditions for equating different energies, providing insights into linear behavior assumptions and crack extension energy calculations.

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Instructors (4)

Jean-François Molinari

Professor J.F. Molinari is the director of the Computational Solid Mechanics Laboratory (http://lsms.epfl.ch) at EPFL, Switzerland. He holds an appointment in the Civil Engineering institute, which he directed from 2013 to 2017, and a joint appointment in the Materials Science institute. He started his tenure at EPFL in 2007, and was promoted to Full Professor in 2012. He is currently an elected member of the Research Council of the Swiss National Science Foundation in Division 2 (Mathematics, Natural and Engineering Sciences), and co editor in chief of the journal Mechanics of Materials. J.F. Molinari graduated from Caltech, USA, in 2001, with a M.S. and Ph.D. in Aeronautics. He held professorships in several countries besides Switzerland, including the United States with a position in Mechanical Engineering at the Johns Hopkins University (2000-2006), and France at Ecole Normale Supérieure Cachan in Mechanics (2005-2007), as well as a Teaching Associate position at the Ecole Polytechnique de Paris (2006-2009). The work conducted by Prof. Molinari and his collaborators takes place at the frontier between traditional disciplines and covers several length scales from atomistic to macroscopic scales. Over the years, Professor Molinari and his group have been developing novel multiscale approaches for a seamless coupling across scales. The activities of the laboratory span the domains of damage mechanics of materials and structures, nano- and microstructural mechanical properties, and tribology.

John Christopher Plummer

ÉCOLE POLYTECHNIQUE FÉDÉRALE DE LAUSANNE (EPFL), Lausanne, Switzerland 1989- Collaborateur Scientifique/Chargé de Cours (Lecturer) (1998-) Privat Docent (1998) Laboratoire de Technologie des Composites et Polymères (LTC) (2000-) Laboratoire de Polymères (LP) (1998-2000) UNIVERSITY OF MICHIGAN (UMICH), Ann Arbor, MI, USA 1995-1996 Visiting Scientist, Department of Materials Science and Engineering (DMSE) UNIVERSITY OF CAMBRIDGE, Cambridge, UK 1986-1989 Research Assistant, Physics and Chemistry of Solids Group (PCS), Department of Physics UNIVERSITY OF CAMBRIDGE, Cambridge, UK, Department of Materials 1986 PhD, "Flux Pinning in Type-II Superconductors" UNIVERSITY OF CAMBRIDGE, Cambridge, UK, 1982 BA/MA Honours Degree in Natural Sciences Awards Prix R&R Haenny, 2007, DuPont Research Award, 2003, Commendation, British Polymer Group, Reading 1989 RECENT PUBLICATIONS Ramier J, Da Costa N, Plummer CJG, Leterrier Y, Manson JAE, Eckert R, Gaudiana R, Cohesion and adhesion of nanoporous TiO2 coatings on titanium wires for photovoltaic applications, Thin solid films, 516, 1913 (2008). Ramier J, Plummer CJG, Leterrier Y, Manson JAE, Eckert B, Gaudiana R, Mechanical integrity of dye-sensitized photovoltaic fibers, Renewable energy, 33, 314 (2008).

Houphouet-Boigny C, Plummer CJG, Wakeman MD, Manson JAE, Hybrid glass fiber-reinforced thermoplastic nanocomposites, J. Thermoplast. Comp. Mater., 21, 103 (2008).

Ternat C, Ouali L, Sommer H, Fieber W, Velazco MI, Plummer CJG, Kreutzer G, Klok HA, Manson JAE, Herrmann, Investigation of the Release of Bioactive Volatiles from Amphiphilic Multiarm Star-Block Copolymers by Thermogravimetry and Dynamic Headspace Analysis, Macromolecules 41(19), 7079 (2008). Ruggerone, R., Plummer, C.J.G., Negrete Herrera, N., Bourgeat-Lami, E., Månson, J-EA, Mechanical properties of highly filled latex-based polystyrene/laponite nanocomposites, Solid State Phenomena Vol. 151, 30 (2009). Plummer, CJG, Dalle Vacche, S, Houphouët-Boigny, C, Michaud, V, Månson, JAE, Hybrid Glass Mat Reinforced Polypropylene-Montmorillonite Nanocomposites, Solid State Phenomena Vol. 151, 60 (2009). Ruggerone, R., Plummer, C.J.G., Negrete Herrera, N., Bourgeat-Lami, E., Månson, J-EA, Highly filled polystyrenelaponite nanocomposites prepared by emulsion polymerization, European Polm. J. 45, 621 (2009). Ruggerone, R., Plummer, C.J.G., Negrete Herrera, N., Bourgeat-Lami, E., Månson, J-EA, Fracture mechanisms in polystyrene/laponite nanocomposites prepared by emulsion polymerization, Engineering Fracture Mechanics 76, 2846 (2009) Clausen P., Andreoni W., Curioni A., Hughs E., Plummer C.J.G. Adsorption of low-molecular-weight molecules on the surface of a sodium smectite clay: an ab initio study, Journal of Physical Chemistry C 113, 12293 (2009). Clausen P., Andreoni W., Curioni A., Hughs E., Plummer C.J.G., Water adsorption on a sodium smectite clay surface: an ab initio study, Journal of Physical Chemistry C 113, 15218 (2009). Molberg, M, Leterrier, Y., Plummer, C.J.G., Walder, C., Löwe, C., Opris, D.M., Nüesch, F.A., Bauer, S., Månson, J.-A.E., Frequency dependent dielectric and mechanical behaviour of elastomers for actuator applications, J. Appl. Phys. 106, 054112 (2009) Clausen P., Signorelli M., Schreiber A., Hughes E., Plummer CJG, Fessas D., Schiraldi A., Månson E. J.-A., Equilibrium desorption isotherms of water, ethanol, ethyl acetate and toluene on a sodium smectite clay, Journal of Thermal Analysis and Calorimetry 98, 833 (2009) Micusik, M., Bonnefond, A., Reyes, Y., Bogner, A., Chazeau, L., Plummer, C.J.G., Paulis, M., Leiza, J.R., Morphology of Polymer/Clay Latex Particles Synthesized by Miniemulsion Polymerization: Modeling and Experimental Results Macromol. React. Eng. 2010, 4, 432 (2010). Houphouet-Boigny C., Plummer CJG, Vacche SD, Michaud V, Wakeman MD, Månson E. J.-A., Hybrid Glass Mat-reinforced Polypropylene-Montmorillonite Nanocomposites, J. Comp. Mater. 44, 1975 (2010). Delabarde, C., Plummer C.J.G., Bourban, P.-E., Månson E. J.-A., Solidification behavior of PLLA/nHA nanocomposites, Comp. Sci. & Tech. 70, 1813 (2010). Plummer C.J.G., Ruggerone R., Negrete-Herrera N., Bourgeat-Lami E., Månson J.-A.E., Small Strain Mechanical Properties of Latex-Based Nanocomposite Films, Macromol. Symp. 294, 1 (2010). Dalle Vacche, S., Plummer C.J.G., Houphouet-Boigny C., Månson E. J.-A., Morphology and mechanical properties of isotactic polypropylene glass mat thermoplastic composites modified with organophilic montmorillonite, J Mater Sci 46, 2112 (2011).

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Related concepts (32)

Fracture mechanics

Fracture mechanics is the field of mechanics concerned with the study of the propagation of cracks in materials. It uses methods of analytical solid mechanics to calculate the driving force on a crack and those of experimental solid mechanics to characterize the material's resistance to fracture. Theoretically, the stress ahead of a sharp crack tip becomes infinite and cannot be used to describe the state around a crack. Fracture mechanics is used to characterise the loads on a crack, typically using a single parameter to describe the complete loading state at the crack tip.

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.

Fracture toughness

In materials science, fracture toughness is the critical stress intensity factor of a sharp crack where propagation of the crack suddenly becomes rapid and unlimited. A component's thickness affects the constraint conditions at the tip of a crack with thin components having plane stress conditions and thick components having plane strain conditions. Plane strain conditions give the lowest fracture toughness value which is a material property.

Hip fracture

A hip fracture is a break that occurs in the upper part of the femur (thigh bone), at the femoral neck or (rarely) the femoral head. Symptoms may include pain around the hip, particularly with movement, and shortening of the leg. Usually the person cannot walk. A hip fracture is usually a femoral neck fracture. Such fractures most often occur as a result of a fall. (Femoral head fractures are a rare kind of hip fracture that may also be the result of a fall but are more commonly caused by more violent incidents such as traffic accidents.

Skull fracture

A skull fracture is a break in one or more of the eight bones that form the cranial portion of the skull, usually occurring as a result of blunt force trauma. If the force of the impact is excessive, the bone may fracture at or near the site of the impact and cause damage to the underlying structures within the skull such as the membranes, blood vessels, and brain.

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