Download Fracture Mechanics of Electromagnetic Materials: Nonlinear by Xiaohong Chen PDF
By Xiaohong Chen
Fracture Mechanics of Electromagnetic Materials presents a finished evaluation of fracture mechanics of conservative and dissipative fabrics, in addition to a normal formula of nonlinear box idea of fracture mechanics and a rigorous remedy of dynamic crack difficulties concerning coupled magnetic, electrical, thermal and mechanical box amounts.
Thorough emphasis is put on the actual interpretation of primary options, improvement of theoretical versions and exploration in their functions to fracture characterization within the presence of magneto-electro-thermo-mechanical coupling and dissipative results. Mechanical, aeronautical, civil, biomedical, electric and digital engineers attracted to program of the rules of fracture mechanics to layout research and sturdiness assessment of clever buildings and units will locate this e-book a useful source.
Readership: Graduate scholars, educational researchers and engineering experts in fracture mechanics.
Read or Download Fracture Mechanics of Electromagnetic Materials: Nonlinear Field Theory and Applications PDF
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Extra info for Fracture Mechanics of Electromagnetic Materials: Nonlinear Field Theory and Applications
Sample text
10): h=− Jc . 58) The size of the fracture localization zone is correlated with the fracture energy and the virtual bond potential of the VIB model. The Fundamentals of Fracture Mechanics 25 cohesive surface models only apply the traction-separation law to the crack plane rather than to the bulk of the material, whereas the VIB method does not assume pre-existing weak paths and directly incorporates the cohesive interactive law into the constitutive model on the continuum level. A VIB-based finite element method (VIB-FEM) is typically used to simulate the fracture process with crack nucleation and growth represented by separation of two adjacent nodes near the crack tip, resulting in localization of strain within one overstretched sheet of mesh.
Therefore, Eq. 37) provides a sound theoretical basis for a simple yet elegant experimental method of determining we from the load-displacement curves for specimens of different ligament lengths. Mai and Cotterell (1986) also showed the following equivalence: we = J c , β wp = (1 / 4)dJ R / da for double-edge notched tension (DENT) and deep center notched tension (DCNT) specimens, and β wp = (1 / 2)dJ R / da for deep single-edge notched tension (DSEN) specimens. 8 Configuration Force (Material Force) Method The notion of the Newtonian force is clarified by its role in describing the motion of a body.
127) 44 Fracture Mechanics of Electromagnetic Materials From Eq. 121), the Helmholtz free energy does not depend on the temperature gradient. 127) should always be satisfied, transport laws for coupled heat conduction and electricity conduction can be determined accordingly. 130) is positive definite. 129) contain Fourier’s law and Ohm’s law as well as the Peltier–Seebeck effect. Thus, the coupled heat transfer equation is obtained from Eq. 116) with the use of the state equations as d ∂hˆ 1 1 − =− ∇ ⋅ jq + E ⋅ je .