There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.

Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

I and i

Three parallel algorithms for classical molecular dynamics are presented. The first assigns each processor a fixed subset of atoms; the second assigns each a fixed subset of inter-atomic forces to compute; the third assigns each a fixed spatial region. The algorithms are suitable for molecular dynamics models which can be difficult to parallelize efficiently—those with short-range forces where the neighbors of each atom change rapidly. They can be implemented on any distributed-memory parallel machine which allows for message-passing of data between independently executing processors. The algorithms are tested on a standard Lennard-Jones benchmark problem for system sizes ranging from 500 to 100,000,000 atoms on several parallel supercomputers--the nCUBE 2, Intel iPSC/860 and Paragon, and Cray T3D. Comparing the results to the fastest reported vectorized Cray Y-MP and C90 algorithm shows that the current generation of parallel machines is competitive with conventional vector supercomputers even for small problems. For large problems, the spatial algorithm achieves parallel efficiencies of 90% and a 1840-node Intel Paragon performs up to 165 faster than a single Cray C9O processor. Trade-offs between the three algorithms and guidelines for adapting them to more complex molecular dynamics simulations are also discussed.

Fast parallel algorithms for short-range molecular dynamics

Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations

From the Publisher:
This self-contained introduction to practical robot kinematics and dynamics includes a comprehensive treatment of robot control. Provides background material on terminology and linear transformations, followed by coverage of kinematics and inverse kinematics, dynamics, manipulator control, robust control, force control, use of feedback in nonlinear systems, and adaptive control. Each topic is supported by examples of specific applications. Derivations and proofs are included in many cases. Includes many worked examples, examples illustrating all aspects of the theory, and problems.

Robot dynamics and control

A higher-order shear deformation theory of laminated composite plates is developed. The theory contains the same dependent unknowns as in the first-order shear deformation theory of Whitney and Pagano (1970), but accounts for parabolic distribution of the transverse shear strains through the thickness of the plate. Exact closed-form solutions of symmetric cross-ply laminates are obtained and the results are compared with three-dimensional elasticity solutions and first-order shear deformation theory solutions. The present theory predicts the deflections and stresses more accurately when compared to the first-order theory.

A Simple Higher-Order Theory for Laminated Composite Plates

Hierarchy of beam models for lattice core sandwich structures

Preface. 1: Some Basic Studies of Composite Behavior. Testing. Theoretical Concerns. Curing Stresses. 2: Exact Solutions for Elastic Response. Laminates. Cylinders. 3: Micromechanics. Role of Micromechanics. 4: Laminate Theories. 5: Interlaminar Stresses. 6: Involute (Rosette) Bodies. 7: Some Carbon--Carbon Spinoffs. 8: Micromechanics of BMC. Selected Papers of N.J. Pagano. Subject Index.

Mechanics of composite materials : selected works of Nicholas J. Pagano

https://research.aalto.fi/files/39749155/ENG_Karttunen_et_al_Exact_elasticity_based_Computers_and_Structures.pdf

Exact elasticity-based finite element for circular plates

This paper investigates the effect of interfacial thermal characteristics and nonlocal effects on the overall effective thermal property of graphene nanoribbons embedded in low-density polyethylene matrix It is widely known that apart from the thermal conductivity, the effect of interfacial thermal resistance is the most important factor that determines the thermal efficiency of nanostructures In this work, we develop nonlocal thermo-elastic properties coupled with a multiscale strategy by means of properties derived from atomistic simulations Atomistic based thermal properties of graphene nanoribbons are estimated from molecular dynamics (MD) simulations and the effect of inter-tubular spacing on the interfacial thermal characteristics are also studied The paper also discusses the effect of the nonlocal parameter on the thermal conduction of the composite system using the developed nonlocal thermo-elastic model

Multiscale Nonlocal Thermo-Elastic Analysis of Graphene Nanoribbons

: The report deals with the development of a numerical/computational procedure based on the updated Lagrangian formulation of two-dimensional continuum theory and nonlinear viscoelastic model of Schapery for the stress and deformation analysis of adhesively bonded joints. Schapery's uniaxial, single-integral law for nonlinear viscoelastic behavior is modified for two dimensions and included in the incremental, updated Lagrangian formulation that includes geometric nonlinear effects. The finite element method is used to solve the resulting differential equations, and a number of validation and sample problem results are presented.

/pdf/nonlinear-viscoelastic-analysis-of-adhesively-bonded-joints-4i0qbz3s4o.pdf

J. N. Reddy

Papers

Hierarchy of beam models for lattice core sandwich structures

Mechanics of composite materials : selected works of Nicholas J. Pagano

Exact elasticity-based finite element for circular plates

Multiscale Nonlocal Thermo-Elastic Analysis of Graphene Nanoribbons

Nonlinear Viscoelastic Analysis of Adhesively Bonded Joints