scholarly journals Deriving Peridynamic Influence Functions for One-dimensional Elastic Materials with Periodic Microstructure

2020 ◽  
Vol 2 (4) ◽  
pp. 337-351
Author(s):  
Xiao Xu ◽  
John T. Foster
Keyword(s):  
Influence Functions ◽  
Elastic Materials ◽  
One Dimensional ◽  
Periodic Microstructure

scholarly journals Solution of structural mechanic’s problems by machine learning

2021 ◽  
Author(s):  
Himanshu Gaur
Keyword(s):  
Analysis Procedure ◽  
Integral Formulation ◽  
Dimensional Problem ◽  
Integration Technique ◽  
Elastic Materials ◽  
One Dimensional ◽  
Differential Formulation ◽  
Strain Behaviour ◽  
Strain Axis ◽  
Simple Integration

This article proposes analysis procedure of structural mechanic’s problem as integral formulation. The analysis procedure was proposed as stressed-based analysis procedure as before plying the procedure, it is required to define stress distribution within the structural body by proper modelling and structural idealization assumptions. The methodology can suitable be applied for finding the solution of engineering applications with required accuracy. The methodology exploits the unfolded part of the structural analysis problems which were not so easy to solve such as geometric and material nonlinearity together with simple integration technique [11]. It has already unfolded the misery of physically exploiting plastic behaviour structures before the start of fracture of elastic materials [13]. The formulation is integral formulation rather than differential formulation in which whole stress –strain behaviour is utilised in the analysis procedure by using neural network as regression tool. In this article, one dimensional problem of uniaxial bar and plane strain axis symmetric problem of cylinder subjected to internal pressure is solved. The results are compared with the classical differential formulation or linear theory.

Characterization of sheared liquid crystalline polymers by light microscopy

1993 ◽  
Vol 51 ◽  
pp. 864-865
Author(s):  
Christopher Viney ◽  
Wendy S. Putnam
Keyword(s):  
Liquid Crystalline ◽  
Polymeric Liquid ◽  
Silk Fibers ◽  
Crystalline Materials ◽  
One Dimensional ◽  
Crystalline Polymers ◽  
Periodic Microstructure ◽  
Liquid Crystalline Materials ◽  
Cholesteric Liquid Crystalline

It is widely observed that nematic and cholesteric liquid crystalline materials develop a one-dimensional periodic microstructure during and/or after a uniaxial draw or simple shear (Fig. 1). This property is common to lyotropic and thermotropic examples of both small-molecule and polymeric liquid crystals. The periodic microstructure gives rise to a banded texture between crossed polars (Fig 2).A material under load will extend more readily if the microstructure contains crimps that can be straightened, compared to the extension that is achieved if covalent backbone bonds are highly aligned along the direction of load. The microstructure in Fig. 1 therefore is regarded as a stiffness-reducing defect. Two classes of stiff polymer that are produced from lyotropic solutions do not exhibit banded textures: the highest modulus variant of poly(p-phenyleneterephthalamide) (Kevlar), and various natural silk fibers. However, a banded texture is present in the less stiff variants of Kevlar, and also in silk fibers that have been drawn by hand from natural secretions, which demonstrates that the defect is not intrinsic to liquid crystalline molecular order, but is related to processing.

APPLICATION OF ELASTIC MATERIALS IN PROTECTION FROM STRONG IMPACTS

2004 ◽  
Vol 18 (14) ◽  
pp. 1977-1990
Author(s):  
MASKOVIC D. LJILJANA ◽  
MOHORA EMILIJAN ◽  
TOSIC S. BRATISLAV ◽  
VUJOVIC R. RATKO
Keyword(s):  
Elastic Material ◽  
Short Pulse ◽  
Three Dimensional ◽  
Polymer Materials ◽  
Elastic Materials ◽  
One Dimensional ◽  
Spherical Surfaces ◽  
The Impact ◽  
Theoretical Results ◽  
Good Agreement

The analysis of the behavior of elastic material subject to strong short pulse impact has shown that only one-dimensional structures support the impact without destruction. Compact two- and three-dimensional structures are destroyed during the impact along circular lines and spherical surfaces. For that reason, web-like shields are proposed for the protection of man and equipment. Polymer materials are most suitable for the production of web-like shields since they are made of fibers and highly stress resistant. Theoretical results are experimentally tested and the good agreement with theory was found.

Interfacial Cracks of Antiplane Sliding Mode between Usual Elastic Materials and Quasicrystals

2007 ◽  
Vol 340-341 ◽  
pp. 453-458 ◽  
Author(s):  
Wei Chen Shi ◽  
Huan Huan Li ◽  
Qing Hai Gao
Keyword(s):  
Stress Field ◽  
Elastic Material ◽  
Displacement Field ◽  
Sliding Mode ◽  
Hilbert Problem ◽  
Interfacial Crack ◽  
Physical Space ◽  
Elastic Materials ◽  
One Dimensional ◽  
Interfacial Cracks

The present study deals with the problem of interfacial cracks of antiplane sliding mode between a usual elastic material and a one-dimensional hexagonal quasicrystal. Based on the physical facts that balance of the phason stress field is foreign to the real force in or out of quasicrystal in physical space, and the quasicrystal is bonded to a usual elastic material without both phason displacement and stress fields, the problem is described by analytic functions and attributed to find solutions of the Riemann-Hilbert problem. It is found that the stress intensity factor is not related to phason strain field, and the phason stress field does not exist. The discontinuity of phonon displacement field across crack is related to the phason displacement field because of the coupling of phonon and phason strain fields. Although there is not the phason displacement on the bonded portion of interface, it exists on the crack’s surface. The energy release rate obtained from interfacial crack’s propagating is different from that of an interfacial crack between two different pure elastic materials.

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