Granular materials at the meso-scale : towards a change of scale approach

__Granular Materials at Meso-scale: Towards a Change of Scale Approach__ proposes a new way for developing an efficient change of scale-considering a meso-scale defined at the level of local arrays of particles. The change of scale is known to be a very interesting way to improve the modelling of mechanical behavior granular materials. In the past, studies have been proposed using a micro-scale at the grain level to perform change of scale, but limitations have been proven for these approaches. Definition and analysis of the phases are detailed, constituted by sets of meso-domains sharing the same texture characteristics. The authors propose a local constitutive model for the phases, allowing the constitutive model of the representative elementary volume to be definied from a change-of-scale approach and, finally, presenting the validation of obtained modeling on cyclic loadings. * Proposes a new way for developing an efficient change of scale―considering a meso-scale * Explores local meso-domains and texture characteristics * Defines meso-strain and stress * Analyzes the evolution of these variables and texture characteristics in relation to the applied loading

Granular Materials at Meso-scale: Towards a Change of Scale Approach proposes a new way for developing an efficient change of scale—considering a meso-scale defined at the level of local arrays of particles. The change of scale is known to be a very interesting way to improve the modelling of mechanical behavior granular materials. In the past, studies have been proposed using a micro-scale at the grain level to perform change of scale, but limitations have been proven for these approaches.

Definition and analysis of the phases are detailed, constituted by sets of meso-domains sharing the same texture characteristics. The authors propose a local constitutive model for the phases, allowing the constitutive model of the representative elementary volume to be definied from a change-of-scale approach and, finally, presenting the validation of obtained modeling on cyclic loadings.

• Proposes a new way for developing an efficient change of scale—considering a meso-scale
• Explores local meso-domains and texture characteristics
• Defines meso-strain and stress
• Analyzes the evolution of these variables and texture characteristics in relation to the applied loading

Content: Front matter,Copyright,Foreword,Acknowledgments,Preface,Symbols,IntroductionEntitled to full text1 - Previous Approaches and Motivation for the Use of the Meso-scale, Pages 1-23 2 - Definition of a Meso-scale for Granular Materials, Pages 25-48 3 - Texture, Stress and Strain at the Meso-scale, Pages 49-80 4 - Texture–Stress–Strain Relationship at the Meso-scale, Pages 81-116 5 - Change of Scale Based on Phenomenological Modeling at the Meso-scale, Pages 117-132 Conclusions and Prospects, Pages 133-138 Appendix 1 - The Simplified Elastic Plastic CJS Model for 2D Materials, Pages 141-144 Appendix 2 - Calibration of the Model Parameters, Pages 145-148 Bibliography, Pages 149-157 Index, Pages 159-164