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Showing 1-20 of 21 results
  1. 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....

    Chunyu Zhang, Biao Wang in Applied Mathematics and Mechanics
    Article Open access 02 September 2022
  2. 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...

    Siyong Liu, Yuanzhi Xu, ... Dongsheng Zhang in Applied Mathematics and Mechanics
    Article 30 May 2023
  3. 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...

    **g Wang, Yilin Zhu, ... Juan Liu in Applied Mathematics and Mechanics
    Article 09 December 2019
  4. 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...

    A. Koochi, H. Hosseini-Toudeshky, M. Abadyan in Applied Mathematics and Mechanics
    Article 18 April 2016
  5. 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...
    Alexander Mielke, Tomàš Roubíček in Rate-Independent Systems
    Chapter 2015
  6. 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...

    Article 01 October 2011
  7. 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...
    Misha Gromov in Visions in Mathematics
    Chapter 2010
  8. 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...
    H. Autenrieth, M. Weber, ... P. Gumbsch in High Performance Computing in Science and Engineering '08
    Conference paper 2009
  9. 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,...
    Conference paper 2009
  10. 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...

    Article 28 March 2007
  11. 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...
    Manuel Klemenz, Marc Zimmermann, ... Detlef Löhe in High Performance Computing in Science and Engineering ’06
    Conference paper 2007
  12. Mathematics and mechanics of granular materials

    J. M. Hill, A. P. S. Selvadurai in Journal of Engineering Mathematics
    Article 01 July 2005
  13. Mathematics and mechanics of granular materials

    J. M. Hill, A. P. S. Selvadurai in Journal of Engineering Mathematics
    Article 01 July 2005
  14. 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...

    Ciprian D. Coman, Andrew P. Bassom, M. Khurram Wadee in Journal of Engineering Mathematics
    Article 01 October 2003
  15. Introduction

    In this chapter, we formally define the problems that form the main topic of this book: the variational inequality (VI) and the complementarity...
    Chapter 2003
  16. 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...

    Pan Yi-shan, Zhang Meng-tao, Li Guo-zheng in Applied Mathematics and Mechanics
    Article 01 October 1994
  17. 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...
    Kazimierz Sobczyk in Stochastic Differential Equations
    Chapter 1991
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