Energy consistent framework for continuously evolving 3D crack propagation

Energy consistent framework for continuously evolving 3D crack propagation

This paper presents a formulation for brittle fracture in 3D elastic solids within the context of configurational mechanics. The local form of the first law of thermodynamics provides a condition for equilibrium of the crack front. The direction of the crack propagation is shown to be given by the direction of the configurational forces on the crack front that maximise the local dissipation. Th...

Energy minimizing brittle crack propagation II

Thermal fracture as a framework for quasi-static crack propagation

We address analytically and numerically theproblemofcrackpathprediction in themodelsystem of a crack propagating under thermal loading.We show that one can explain the instability from a straight to a wavy crack propagation by using only the principle of local symmetry and theGriffith criterion.We then argue that the calculations of the stress intensity factors can be combinedwith thestandardcr...

Evolving Categories: Consistent Framework for Representation of Data and Algorithms

A concept of “evolving categories” is suggested to build a simple, scalable, mathematically consistent framework for representing in uniform way both data and algorithms. A state machine for executing algorithms becomes clear, rich and powerful semantics, based on category theory, and still allows easy implementation. Moreover, it gives an original insight into the nature and semantics of algor...

Indexing Techniques for Continuously Evolving Phenomena

The management of spatial, temporal, and spatiotemporal data is becoming increasingly important in a wide range of applications. This ongoing Ph.D. project focuses on applications where spatial or temporal aspects of objects are continuously changing and there is a need for indexing techniques that ”track” the changing data, even in-between explicit updates. In spatiotemporal applications, ther...