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Influence of nonlinear spatial distribution of stress and strain on solving problems of solid mechanics
The stress and the strain should be defined as statistical variables averaged over the representative volume elements for any real continuum system....
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On fracture behavior of inner enamel: a numerical study
The ingenious hierarchical structure of enamel composed of rods and protein produces excellent fracture resistance. However, the fracture resistance...
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Nonlocal and strain gradient effects on nonlinear forced vibration of axially moving nanobeams under internal resonance conditions
Based on the nonlocal strain gradient theory (NSGT), a model is proposed for an axially moving nanobeam with two kinds of scale effects. The internal...
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Nonlinear beam formulation incorporating surface energy and size effect: application in nano-bridges
A nonlinear beam formulation is presented based on the Gurtin-Murdoch surface elasticity and the modified couple stress theory. The developed model...
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Applications in continuum mechanics and physics of solids
The theory of rate-independent processes has a large variety of applications in continuum mechanics of solids. Rate-independent effects typically can... -
Modelling and Simulation of Milling Forces Using an Arbitrary Lagrangian–Eulerian Finite Element Method and Support Vector Regression
A new method is presented to predict milling forces synthetically. Firstly, the 3D simulation model of the milling process is established using the...
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Spaces and Questions
Our Euclidean intuition, probably inherited from ancient primates, might have grown out of the first seeds of geometry in the motor control systems... -
Investigation of Process-Specific Size Effects by 3D-FE-Simulations
The miniaturization of cutting processes into the micrometer regime shows process-specific size effects like the nonlinear increase of the specific... -
From Molecular Dynamics and Particle Simulations towards Constitutive Relations for Continuum Theory
A challenge of today‖s research is the realistic simulation of disordered atomistic systems or particulate and granular materials like sand, powders,... -
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Free-surface granular flows down heaps
The present paper extends the granular-flow constitutive model of Savage (1998 J Fluid Mech 377:1–26) to treat spherical particles. Savage accounted...
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Numerical Prediction of the Residual Stress State after Shot Peening
Shot peening is a mechanical surface treatment with the purpose to modify the surface state of a material in order to improve fatigue strength of a... -
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Elasto-plastic localised responses in one-dimensional structural models
This work complements recent developments concerning the buckling of beams lying on a nonlinear (non-convex) elastic foundation, and also reports on...
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Introduction
In this chapter, we formally define the problems that form the main topic of this book: the variational inequality (VI) and the complementarity... -
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The study of chamber rockburst by the CUSP model of catastrophe theory
By means of CUSP model of catastrophe theory, this paper has studied the physics process of rockburst occurred on circular chamber. The present paper...
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Applications: Stochastic Dynamics of Engineering Systems
The importance of differential equations in mathematics itself and in studying phenomena of the real world can not be over-estimated. The...