Topologically Interlocked Material systems are a class of architectured materials. TIM systems are assembled from individual building blocks and are confined by an external frame. In particular, 2D, plate-type assemblies are considered. This publication contains files for the numerical analysis of the mechanical behavior of TIM systems through the use of finite element analysis. ABAQUS model files (inp format) for the study of the chiral/achiral response are provided. Files chirality_s1_in.inp are for type I square assemblies. n=3,5,7,9 Files chirality_s2_in.inp are for type II square assemblies. n=4,6,8,10 Files chirality_h1_in.inp are for type I hexagon assemblies. n=2,3,4,5 Files chirality_h2_in.inp are for type II hexagon assemblies. n=2,3,4,5 File chirality_s1i5_center_dissection.inp is for an assembly with a dissection of the central tile of type I square assembly with n=5. File chirality_s2i6_center_dissection.inp is for an assembly with a dissection of the central tile of type II square assembly with n=6. File chirality_s1i5_center_surrounding_dissection.inp is for an assembly with dissections of the tiles surrounding the center tile of type I square assembly with n=5. File chirality_h1i3_center_dissection.inp is for an assembly with a dissection of the central tile of type I hexagon assembly with n=3. File chirality_h2i3_center_dissection.inp is for an assembly with a dissection of the central tile of type II hexagon assembly with n=3. File chirality_h1i3_center_surrounding_dissection.inp is for an assembly with dissections of the tiles surrounding the center tile of type I hexagon assembly with n=3.
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Tail spaces estimates on Hamming cube and Bernstein–Markov inequality
Tail and Bernstein--Markov inequalities for Banach space valued functions on Hamming cube. The novelty is in getting rid of irritating logarithms while proving those estimates for gradient rather that square root of Laplacian.
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- Award ID(s):
- 2154402
- PAR ID:
- 10494850
- Editor(s):
- Aron, R.
- Publisher / Repository:
- Elsevier
- Date Published:
- Journal Name:
- Journal of Mathematical Analysis and Applications
- Volume:
- 529
- Issue:
- 2
- ISSN:
- 0022-247X
- Page Range / eLocation ID:
- 127597
- Subject(s) / Keyword(s):
- Hamming cube, Bernstein--Markov inequality, tail spaces estimates
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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