Fracture of disordered solids in compression as a critical phenomenon. I. Statistical mechanics formalism

FRACTURE MECHANICS WHAT IS FRACTURE MECHANICS Fracture mechanics is mechanics of solids containing planes of displacement discontinuities (cracks)

critical period effects in foreign language learning:the influence of maturational state on the acquisition of reading,writing, and grammar in english as a foreign language

since the 1960s the age effects on learning both first and second language have been explored by many linguists and applied linguists (e.g lennerberg, 1967; schachter, 1996; long, 1990) and the existence of critical period for language acquisition was found to be a common ground of all these studies. in spite of some common findings, some issues about the impacts of age on acquiring a second or...

Autonomous geometro-statistical formalism for quantum mechanics I : Noncommutative symplectic geometry and Hamiltonian mechanics

Considering the problem of autonomous development of quantum mechanics in the broader context of solution of Hilbert's sixth problem (which relates to joint axiomatization of physics and probability theory), a formalism is evolved in this two-part work which facilitates the desired autonomous development and satisfactory treatments of quantum-classical correspondence and quantum measurements. T...

Statistical Mechanics I

2 Thermodynamics 4 2.1 The Foundations of Thermodynamics . . . . . . . . . . . . . . . 4 2.2 Thermodynamic Equilibrium . . . . . . . . . . . . . . . . . . . . 5 2.3 The Conditions for Equilibrium . . . . . . . . . . . . . . . . . . . 7 2.4 The Equations of State . . . . . . . . . . . . . . . . . . . . . . . . 13 2.5 Thermodynamic Processes . . . . . . . . . . . . . . . . . . . . . . 14 2.6 Ther...

Fracture mechanics-based life prediction of a riveted lap joint

In this paper, three-dimensional modeling of the fatigue crack growth profiles was performed in a simple riveted lap joint. Simulation results showed that mode I was dominated on the one side of the plates and the crack straightly grew on this side, while the other side of the plates was in a mixed-mode condition and the crack propagation path was not straight on this side. Afterward, the fract...