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Micromechanics
About: Micromechanics is a research topic. Over the lifetime, 6000 publications have been published within this topic receiving 162635 citations.
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TL;DR: In this article, an effective inclusion model for effective elastic moduli of heterogeneous materials is proposed to analyze the problem of an infinite matrix containing an ellipsoidal RVE, which is assumed that the strain energy changes of the infinite matrix due to embedding the RVE and its effective inclusion into the matrix are identical.
45 citations
TL;DR: In this article, a micromechanical model to predict the interphasial/interfacial stress transfer in a three-phase fiber-reinforced composite is presented, where each constituent of the composite is regarded as a linear elastic continuum.
45 citations
TL;DR: In this paper, the authors discuss experimental methods that can be used to characterize the mechanics of microscopic soft particles and validate the method by comparing results for the compressive modulus to osmotic compression measurements, which provide the most direct and unambiguous measure of compressibility.
Abstract: Materials that contain soft, deformable particles exhibit a rich range of macroscopic mechanical properties. Experimental access to the mechanics at the scale of a single particle is the basis for studying and understanding the macroscopic mechanics of these materials. In this paper, we discuss experimental methods that can be used to characterize the mechanics of microscopic soft particles. We focus on the recently developed capillary micromechanics method, which yields the full linear elastic behavior of a single particle. We validate the method by comparing results for the compressive modulus to osmotic compression measurements, which provide the most direct and unambiguous measure of compressibility. We find good agreement between the two methods on a system of deformable and compressible poly-N-isopropylacrylamide microgel particles. Our results thus support the validity of the capillary micromechanics method and suggest that it could be applied to a wide range of materials that consist of deformable soft objects.
45 citations
TL;DR: In this article, a numerical procedure for the computation of the overall macroscopic elasticity moduli of linear composite materials with periodic micro-structure was proposed, where the deformation of the microstructure is coupled with the local deformation at a typical point of the macro-continuum by three alternative constraints of the microscopic fluctuation field.
Abstract: The paper investigates a numerical procedure for the computation of the overall macroscopic elasticity moduli of linear composite materials with periodic micro-structure. We consider a homogenized macro-continuum with locally attached representative micro-structure which characterizes a representative cell of a composite. The deformation of the micro-structure is assumed to be coupled with the local deformation at a typical point of the macro-continuum by three alternative constraints of the microscopic fluctuation field. The underlying key approach is a finite element discretization of the boundary value problem for the fluctuation field on the micro-structure of the composite. This results into a distinct closed-form representation of the overall elasticity moduli in terms of a Taylor-type upper bound term and a characteristic softening term which depends on global fluctuation stiffness matrices of the discretized micro-structure. With this representation in hand, overall moduli of periodic composites can be computed in a straightforward manner for a given finite element discretization of the micro-structure. We demonstrate the concept for three types of periodic composites and compare the results with well-known analytical estimates.
45 citations
TL;DR: In this article, the determination of macroscopic material properties of polymer composites by meso-mechanical numerical modeling is dealt with, focusing on the methodology how to build up appropriate representative volume elements (RVE) to describe the microstructure of spherical-particles and fibers reinforced composites and applying appropriate 3D boundary conditions.
Abstract: The paper deals with the determination of macroscopic material properties of polymer composites by meso-mechanical numerical modeling. Focus is laid on the methodology how to build up appropriate representative volume elements (RVE) to describe the microstructure of spherical-particles and fibers reinforced composites and how to apply appropriate 3D boundary conditions. The work includes the comparison of the effective material parameters calculated through numerical homogenization of our FE-models with existing analytical formulations as well as with experimental data. (© 2009 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
45 citations