TY - JOUR
T1 - Stresses and strains in a deformable fractal medium and in its fractal continuum model
AU - Balankin, Alexander S.
N1 - Funding Information:
I thank J. Bory-Reyes, M. Shapiro Fishman, and R. Camacho-Velázquez for fruitful discussions. This work was supported by Mexican government under the research grants SENER-CONACYT No. 143927 .
PY - 2013/11/15
Y1 - 2013/11/15
N2 - The model of fractal continuum accounting the topological, metric, and dynamic properties of deformable physical fractal medium is suggested. The kinematics of fractal continuum deformation is developed. The corresponding geometric interpretations are provided. The concept of stresses in the fractal continuum is defined. The conservation of linear and angular momentums is established. The mapping of mechanical problems for physical fractal media into the corresponding problems for fractal continuum is discussed.
AB - The model of fractal continuum accounting the topological, metric, and dynamic properties of deformable physical fractal medium is suggested. The kinematics of fractal continuum deformation is developed. The corresponding geometric interpretations are provided. The concept of stresses in the fractal continuum is defined. The conservation of linear and angular momentums is established. The mapping of mechanical problems for physical fractal media into the corresponding problems for fractal continuum is discussed.
KW - Constitutive equations
KW - Fractal continuum mechanics
KW - Fractal materials
UR - http://www.scopus.com/inward/record.url?scp=84883797083&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2013.07.029
DO - 10.1016/j.physleta.2013.07.029
M3 - Artículo
AN - SCOPUS:84883797083
SN - 0375-9601
VL - 377
SP - 2535
EP - 2541
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 38
ER -