Selected papers:

• Geometrical theory of continuous distributions of dislocations in Bravais crystals based on the notion of principal congruences of Volterra-type effective dislocation lines in continuized (Bravais) crystals with secondary point defects:

  1. A. Trzęsowski and J. J. Sławianowski, Global invariance and Lie-algebraic description in the theory of dislocations, International Journal of Theoretical Physics, 29, no.11, 1239-1249, 1990 (pdf).

  2. A. Trzęsowski, Geometrical and physical gauging in the theory of dislocations, Reports on Mathematical Physics, 32, 71-98, 1993 (pdf with corrected eqs. (5.44) and (5.45)).

  3. A. Trzęsowski, On the geometrical theory of diffusion processes in continuized dislocated crystals, Fortschritte der Physik - Progress of Physics, 43, 565-584, 1995 (abstract, pdf).

  4. A. Trzęsowski, On the geometric origin of Orowan-type kinematic relations and the Schmid yield criterion, Acta Mechanica, 141, 173-192, 2000 (abstract).

  5. A. Trzęsowski, Self-balance equations and Bianchi-type distortions in the theory of dislocations, International Journal of Theoretical Physics, 42, 711-723, 2003 (abstract, pdf).

  6. A. Trzęsowski, Effective dislocation lines in continuously dislocated crystals, published online, 2007:

  • Part I. Material anholonomity, Journal of Technical Physics, 48, 193-214, 2007; arXiv.org:0709.1793 (abstract, pdf).
  • Part II. Congruences of effective dislocations, Journal of Technical Physics, 49, 53-74, 2008; arXiv.org:0709.1798 (abstract, pdf).
  • Part III. Kinematics, Journal of Technical Physics, 49, 79-99, 2008; arXiv.org:0709.1802 (abstract, pdf).

• Thermomechanical properties of bulk nanostructured isolated clusters of ultrasmall size (not more than 100 nm):

  1. A. Trzęsowski, On the compressibility of a spherical solid body, Archives of Mechanics, 33, 11-20, 1981 (pdf).

  2. A. Trzęsowski, On constrained size effect bodies, Archives of Mechanics, 36, 185-193, 1984 (pdf).

  3. A. Trzęsowski, Nanomaterial clusters as macroscopically small size-effect bodies. Part I (pdf) and Part II (pdf), Archives of Mechanics, 52, 159-197, 2000.

  4. A. Trzęsowski, On the quasi-solid state of solid nanoclusters, Journal of Technical Physics, 44, 339-350, 2003 (pdf).

  5. A. Trzęsowski, Tensility and compressibility of axially symmetric nanoclusters:

  • Part I. Simplified modelling, Journal of Technical Physics, 45, 141-153, 2004 (pdf).
  • Part II. Cylindrical nanoclusters, Journal of Technical Physics, 46, 9-22, 2005 (pdf).

  6. A. Trzęsowski, Nanothermomechanics, Journal of Technical Physics, 50, 151-172, 2009; arXiv.org:0801.2049 (abstract, pdf).

• Thermodynamical description of Markov-type systems:

  1. A. Trzęsowski and S. Piekarski, Markovian description of irreversible processes and the time randomization, Il Nuovo Cimento, 14 D, no. 8, 767-787, 1992 (corrected version).

  2. A. Trzęsowski, On the dynamics and thermodynamics of small Markov-type material systems, arXiv.org:0805.0944 (abstract, pdf).

• Low-dimensional material systems:

  1. A. Trzęsowski, On the isothermal geometry of corrugated graphene sheets, Journal of Geometry and Symmetry in Physics, 36, 1-45, 2014 (first page); arXiv.org:1312.4711 (abstract, pdf).

  2. A. Trzęsowski, On the material geometry of continuously defective corrugated graphene sheets, in: Geometry, Integrability, Mechanics and Quantization, Ivailo M. Mladenov, Mariana Hadzhilazova and Vasyl Kovalchuk (Editors), Avangard Prima, Sofia, 2015, pp. 367-410, arXiv.org:1407.1396 (abstract, pdf).

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