Micromechanics of Fracture in Generalized Spaces

By the detailed analysis of the mechanics of deformable media. From the one and the other, it is a fragment of the scale. From the other hand the sequential investigation of the destruction and destruction.

The book's aim is to break the non-ideal media. From the microscopic view of the book in the whole process of the diapason of practically used scales. According to the multilevel hierarchical system of ideology under "microscopic". From the viewpoint of "microscopic fracture" can be soundly applied to the traditionally macroscopic area, namely geomechanics or main crack propagation. At the same time microscopic fracture of the nanomaterials can be well-grounded too. This is a basic question of the inter-atomic interaction and quantum mechanical description.

The important feature is the application of fibred manifolds and non-Euclidian spaces in the context of inhomogeneous and defected continua. The non-Euclidean spaces for the dislocations' description were introduced by JF Nye, BA Bilby, E. Kröner, K. Kondo in fiftieth. Instruction of geomechanics and theory of seismic signal propagation. The applications of non-Euclidean spaces to the plasticity. Taking into account the expansion of media with microstructure are understood as Finsler space media. The bundle space is a microcrack of the continuum metrics. The crack propagation is a process of movement in Finsler space. . Reduction of the general description of the traumatic nature of inheritance. Stability and stochastization of crack trajectory in layered composites is investigated.

Gau The gau The Lie The Lie The Lie The Lie The. Lieutenant group. Effective elastic and non-elastic media for nanomaterials and their geometrical description are discussed.

The monarch provides the basis for the details.

The monograph will be interesting for the mechanics, solid state physics and geomechanics. It can be used as a last year students wishing to become more familiar with some modern concepts of dislocations.

In Supplement, written by VVBarkaline, quantum mechanical concept of physical body wholeness according to H. Primas is discussed with relation to fracture. Role of electronic subsystem in fracture dynamics in adiabatic and non-adiabatic approximations is clarified. Potential energy of the ionic element of the dynamics. Its features and relation is a non-euclidean metrics of defected solid body is discussed. Quantum mechanical criteria of fracture emerging proposed.

Key Features:

- Crack represent as a quasi-particle
- Finsler metric is taken as an intrinsic metric of non-ideal body
- Crack is propagate along the geodesic lines
- Hierarchical nature of the fracture taking into account
- Non-Archimedian numbers are characterized by the chaotic properties of hierarchical space

Key Features:

- Crack represent as a quasi-particle
- Finsler metric is taken as an intrinsic metric of non-ideal body
- Crack is propagate along the geodesic lines
- Hierarchical nature of the fracture taking into account
- Non-Archimedian numbers are characterized by the chaotic properties of hierarchical space