This paper gives a simple derivation of the tangent stiffness matrix for a prestressed pinjointed structure: the stiffness is found by differentiating equilibrium expressions at nodes of the structure with respect to the position of the nodes. It uses this derivation to compare the diverse formulations that are applied to understanding the mechanics of prestressed structures by different academ...

In the current research, a three-dimensional finite element model was considered to predict the mechanical behavior of Single Wall (SWCNTs) and Multi Wall Carbon Nanotubes (MWCNTs). Assuming the nonlinear elastic behavior of C-C bond in large strains, hyperelastic models were considered. Literature review revealed that the material parameters of the hyperelastic models have been determined from...

In this article, after a brief description of some signi®cant catastrophic structural failures going back to the period when iron and steel began to replace wood and masonry as the primary structural materials, the historical development of the ®eld of fracture mechanics is discussed. First, the basic concepts of the ®eld, the motivation underlying their development and the key contributions ma...

20 We present a newmethod combining structural and statistical mechanics to study the entropic elasticity of semiflexible filament networks. We view a filament network as a frame structure and use structural mechanics to determine its static equilibrium configuration under applied loads in the first step. To account for thermal motion around this static equilibrium state, we then approximate th...

The S1 → S2 transition of the oxygen-evolving complex (OEC) of photosystem II does not involve the transfer of a proton to the lumen and occurs at cryogenic temperatures. Therefore, it is commonly thought to involve only Mn oxidation without any significant change in the structure of the OEC. Here, we analyze structural changes upon the S1 → S2 transition, as revealed by quantum mechanics/molec...

Cells establish and modulate their morphology and mechanics through the use of structural networks whose components range in size from a few nanometers to tens of micrometers. Over the past two decades, an exciting suite of sophisticated microand nanoscale technologies has emerged that permits investigators to directly probe structural and functional contributions of these components in living ...

Fatigue is the major threat in service of steel structure subjected to fluctuating loads. With the additional effect of corrosion and presence of weld joints the fatigue failure may become more critical in structural steel. One of the apt examples of such structural is the sailing ship. This is experiencing a constant stress due to floating and a pulsating bending load due to the waves. This pa...

Abstract Lam and Esfeld have argued that, within Bohmian mechanics, the wave function can be interpreted as a physical structure instantiated by fundamental particles posited theory. Further, to characterize nature of this structure, they appeal framework Ontic Structural Realism (OSR), thereby proposing structuralist interpretation mechanics. However, I shall point out that OSR denotes family ...

A structural similarity between Classical Mechanics (CM) and Quantum Mechanics (QM) was revealed by P.A.M. Dirac in terms of Lie Algebras: while in CM the dynamics is determined by the Lie algebra of Poisson brackets on the manifold of scalar fields for classical position/momentum observables Q/P , QM evolves (in Heisenberg’s picture) according to the formally similar Lie algebra of commutator ...

Contact mechanics is related to the deformation study of solids that meet each other at one or more points. The physical and mathematical formulation of the problem is established upon the mechanics of materials and continuum mechanics and focuses on computations involving bodies with different characteristics in static or dynamic contact. Contact mechanics gives essential information for the s...