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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 ...
In fracture mechanics, a crack growth resistance curve shows the energy required for crack extension as a function of crack length in a given material. For materials that can be modeled with linear elastic fracture mechanics (LEFM), crack extension occurs when the applied energy release rate exceeds the material's resistance to crack extension ...
Regularization. v. t. e. In theoretical physics, the term renormalization group ( RG) refers to a formal apparatus that allows systematic investigation of the changes of a physical system as viewed at different scales. In particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy ...
Radius of gyration or gyradius of a body about the axis of rotation is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass, if the total mass of the body were concentrated there. The radius of gyration has dimensions of distance [L] or [M 0 LT 0] and the SI unit is ...
Quantum mechanics is a fundamental theory that describes the behavior of nature at and below the scale of atoms. [ 2]: 1.1 It is the foundation of all quantum physics, which includes quantum chemistry, quantum field theory, quantum technology, and quantum information science . Quantum mechanics can describe many systems that classical physics ...
Mechanics (from Ancient Greek: μηχανική, mēkhanikḗ, lit. "of machines") [1] [2] is the area of physics concerned with the relationships between force, matter, and motion among physical objects. [3]
George R. Irwin was born in El Paso, Texas. His family moved to Springfield, Illinois where he went to school. He attended Knox College in Galesburg, Illinois and earned an A.B. degree in English in 1930. After an additional year studying physics, he transferred to the University of Illinois at Urbana-Champaign where he studied from 1931 to 1935.
Universality class. In statistical mechanics, a universality class is a collection of mathematical models which share a single scale-invariant limit under the process of renormalization group flow. While the models within a class may differ dramatically at finite scales, their behavior will become increasingly similar as the limit scale is ...