3 citations · 6 across the 6 of their papers we have counts for
6 papers
On the material geometry of continuously defective corrugated graphene sheets
Andrzej Trzesowski
Geometrical objects describing the material geometry of continuously defective graphene sheets are introduced and their compatibility conditions are formulated. Effective edge disl…
On the isothermal geometry of corrugated graphene sheets
Andrzej Trzesowski
Variational geometries describing corrugated graphene sheets are proposed. The isothermal thermomechanical properties of these sheets are described by a 2-dimensional Weyl space. T…
On the dynamics and thermodynamics of small Markov-type material systems
Andrzej Trzesowski
The collective properties of small material systems considered as semidynamical systems revealing the Markov-type irreversible evolution, are investigated. It is shown that these m…
Effective dislocation lines in continuously dislocated crystals. III. Kinematics
Andrzej Trzesowski
A class of congruences of principal Volterra-type effective dislocation lines associated with a dislocation density tensor is distinguished in order to investigate the kinematics o…
Effective dislocation lines in continuously dislocated crystals. II. Congruences of effective dislocations
Andrzej Trzesowski
The notion of a congruence of effective dislocation lines endowed with the nonvanishing local Burgers vector is introduced. Particularly, the class of congruences of principal Volt…
Effective dislocation lines in continuously dislocated crystals. I. Material anholonomity
Andrzej Trzesowski
A continuous geometric description of Bravais monocrystals with many dislocations and secondary point defects created by the distribution of these dislocations is proposed. Namely,…