Multiscale Methods in Computational Mechanics (original) (raw)

Multiscale Modeling of Complex Materials

CISM International Centre for Mechanical Sciences, 2014

The mechanical behaviour of complex materials, characterised at finer scales by the presence of heterogeneities of significant size and texture, strongly depends on their microstructural features. Attention is centred on multiscale approaches which aim to deduce properties and relations at a given macroscale by bridging information at proper underlying microlevel via energy equivalence criteria. Focus is on physically-based corpuscular-continuous models originated by the molecular models developed in the 19 th century to give an explanation per causas of elasticity. In particular, the 'mechanistic-energetistic' approach by Voigt and Poincaré who, when dealing with the paradoxes deriving from the search of the exact number of elastic constants in linear elasticity, respectively introduced molecular models with moment and multi-body interactions is examined. Thus overcoming the experimental discrepancies related to the so-called central-force scheme, originally adopted by Navier, Cauchy and Poisson.

SPECIAL ISSUE MULTISCALE MECHANICAL MODELING OF COMPLEX MATERIALS AND ENGINEERING APPLICATIONS 2

2011

The present volume is a special issue of selected papers from the second edition of a special symposium session on Multiscale Mechanical Modelling of Complex Materials and Engineering Applications, organized within the frame-The early focus of the symposium was to bridge the gap between solid mechanics and material science, providing a forum for the presentation of fundamental, theoretical, experimental, and practical aspects of mechanical modelling of materials with complex microstructures and complex behaviour. This volume follows the issues already edited in connection with the THERMEC 2006 conference of the same symposium session held in Vancouver, Canada, in July 2006. 1 Each contribution has undergone a standard review process, and only papers that received positive reviews by at least two international referees have been included.

The application of the multiscale models for description of the dispersed composites

Composites Part A: Applied Science and Manufacturing, 2005

We studied composite materials reinforced by micro-particles. It is assumed that the following physical objects and appropriate local effects determine the specific properties of composites: cohesion fields and corresponding zones of internal interaction; adhesion interactions, which determine the peculiarity of interaction of contacting bodies. These effects are important and can define the mechanical properties of the mediums with developed interface surfaces. In this paper, we use the multiscale continuum model of solids to explain the specific properties of composite materials with thin structures associated with local interactions of special type between inclusions and a matrix. q

Perspectives in mechanics of heterogeneous solids

Acta Mechanica Solida Sinica, 2011

The Micro-and Nano-mechanics Working Group of the Chinese Society of Theoretical and Applied Mechanics organized a forum to discuss the perspectives, trends, and directions in mechanics of heterogeneous materials in January 2010. The international journal, Acta Mechanica Solida Sinica, is devoted to all fields of solid mechanics and relevant disciplines in science, technology, and engineering, with a balanced coverage on analytical, experimental, numerical and applied investigations. On the occasion of the 30 th anniversary of Acta Mechanica Solida Sinica, its editor-in-chief, Professor Q.S. Zheng invited some of the forum participants to review the state-of-the-art of mechanics of heterogeneous solids, with a particular emphasis on the recent research development results of Chinese scientists. Their reviews are organized into five research areas as reported in different sections of this paper. §I firstly brings in focus on micro-and nano-mechanics, with regards to several selective topics, including multiscale coupled models and computational methods, nanocrystal superlattices, surface effects, micromechanical damage mechanics, and microstructural evolution of metals and shape memory alloys. §II shows discussions on multifield coupled mechanical phenomena, e.g., multi-fields actuations of liquid crystal polymer networks, mechanical behavior of materials under radiations, and micromechanics of heterogeneous materials. In §III, we mainly address the multiscale mechanics of biological nanocomposites, biological adhesive surface mechanics, wetting and dewetting phenomena on microstructured solid surfaces. The phononic crystals and manipulation of elastic waves were elaborated in §IV. Finally, we conclude with a series of perspectives on solid mechanics. This review will set a primary goal of future science research and engineering application on solid mechanics with the effort of social and economic development. Supports from NSFC and MOST are acknowledged. · 2 · ACTA MECHANICA SOLIDA SINICA 2011 I. MICRO-AND NANO-MECHANICS 1.1

Preface: Multiscale and Multiphysics Modeling of "Complex" Materials and Engineering Applications

International Journal for Multiscale Computational Engineering

The present volume is a special issue of selected papers from the 11th edition of a special symposium session, "Multiscale and Multiphysics Modeling for Complex Materials," organized within the framework of the 9th International Conference on Computational Methods (ICCM2018), held in Rome, Italy, in August 2018, with Professor Trovalusci as chairman. The early focus of the symposium was to bridge the gap between solid mechanics and materials science, providing a forum for the presentation of fundamental, theoretical, experimental, and practical aspects of mechanical modeling of materials with complex microstructures and complex behavior.

Multiscale Modeling for the Science and Engineering of Materials

International Journal for Multiscale Computational Engineering, 2021

Material discovery and development drives innovation and is a key component for almost all cutting edge technologies today. With progress in computing power and numerical methods, multiscale modeling has been a rapidly growing requirement in the science and engineering of materials. However, unresolved challenges in true multiscale modeling have thus far prevented engineers and scientists from realizing its full potential and, as a result, its success in production applications is not widespread. Particularly difficult challenges to multiscale simulations are the vastly different physics at different scales among different materials manufactured with different procedures and used in different applications with different performance indicators. To help address these challenges Dassault Systèmes has brought together the power of multiple software brands to combine the expertise in multiphysics simulations from quantum and molecular to continuum and system scale with a purpose to promote the production usage of multiscale modeling to design, develop, and validate sustainable and programmable materials. In this paper, the key multiscale modeling and simulation technologies from Dassault Systèmes will be introduced with a focus on the realistic industrial applications via an end-to-end digital thread on the 3DEXPERIENCE Platform. Our goal is to provide a fundamental and general framework to allow engineers to construct microscale models, and deduce the macroscale laws and the constitutive relations by proper homogenization, with seamless integration to our native material modeling capabilities, for quantitative, rigorous analysis of the overall response and failure modes of advanced multiphase materials.

The Emerging Role of Multiscale Modeling in Nano- and Micro-mechanics of Materials

Cmes-computer Modeling in Engineering & Sciences, 2002

As a result of surging interest in finding fundamental descriptions for the strength and failure properties of materials, and the exciting prospects of designing materials from their atomic level, an international symposium on Multiscale Modeling was convened in Los Angeles during August 23 25, 2000. In this symposium, 23 speakers with research interests spanning fields as diverse as traditional mechanics, physics, chemistry and materials science have given talks at this symposium. The topics of discussion were focused on sub-continuum modeling of the mechanics of materials, taking into account the atomic structure of solid materials. The main motivation of the symposium was the realization of the limitations of current continuum mechanics modeling approaches (e.g. the finite element method (FEM)) to describe the behavior of materials at scales smaller than tens of microns. The speakers represented the international scientific community in different countries, and utilized diverse s...

Theoretical-experimental method of multiscale modelling of two-component materials

MATEC Web of Conferences, 2018

Modern mechano-mathematical models of materials are multilevel ones combining macro-, meso- and micro-level models. A major problem however is how to present a clear link between the levels. Moreover, structural models should be well verified, reflecting material behavior at meso-level and its microstructure. Hence, we propose a theoretical-experimental approach to multilevel modeling, treating discs which operate under plane stress. The approach comprises the following stages: I stage: Identify a system of characteristic points on the disc surface. Employing an appropriate optical method, find point displacements using time steps in the course of deformation. II stage: Based on displacement development in time, rationally find the variation of the strain tensor components using strains directed from the main point to the closest points of its vicinity. III stage: Define a meso-representative element in the disc plane as an ellipse with diameters related to the principal strains. IV...