Abstract In chemical mechanical polishing (CMP) for IC fabrication, porous pads are critical achieving extremely consistent throughput in CMP process. The pad hardness, porosity of pad, and pore sizes the thermoplastic polyurethanes foam fabrication procedure determine properties pads. This paper aims to develop a methodology modeling macro micro hardness. IC1000 has been analyzed with develope...

A three-dimensional micromechanical finite element model is developed to study the viscoelastic behavior of the silica nanoparticle/polyimide nanocomposites. The representative volume element (RVE) of the model consists of three phases including silica nanoparticle, polyimide matrix and interphase which surrounds the nanoparticle. The interphase region is created due to the interaction between ...

This work is concerned with the precise characterization of the elastic fields due to a spherical inclusion embedded within a spherical representative volume element (RVE). The RVE is considered having finite size, with either a prescribed uniform displacement or a prescribed uniform traction boundary condition. Based on symmetry and group theoretic arguments, we identify that the Eshelby tenso...

A size-dependent strain gradient Mori-Tanaka model (SGMT) is developed by applying strain gradient elasticity to the classical Mori-Tanka (M-T) method. The SGMT model is shown to be able to accurately predict the experimentally observed increase in stiffness of a layerby-layer (LBL)-assembled polyurethane-montmorillonite (PU-MTM) nanocomposite with various volume fractions. 3D Finite Element (F...

The aim of this research is to assess the effects of interphase property and matrix property on the tensile elastic modulus (TEM) of the carbon nanotube (CNT) using a 3-D nanoscale representative volume element (RVE) based on continuum mechanics and using the finite element method (FEM). Formulas to extract the effective material constants from solutions for the RVE is derived based on the elas...

Carbon/Carbon composites finds its applications in several high temperature the field of Space, Aviation etc. Designing components or sub systems with carbon/carbon is a challenging task. It requires prediction elastic properties very accuracy. The can be normally done by analytical, numerical experimental methods. At design stage designers resort to predictions as methods are not feasible duri...

We describe a multiscale method to simulate the deformation of plant tissue. At the cellular scale we use a combination of Smoothed Particle Hydrodynamics (SPH) and discrete elements to model the geometrical structure and basic properties of individual plant cells. At the coarse level, the material is described by the standard continuum approach without explicitly constructing a constitutive eq...

Using crystal plasticity, finite element analyses were carried out to model cyclic deformation for a low solvus high refractory (LSHR) nickel superalloy at elevated temperature. The analyses were implemented using a representative volume element (RVE), consisting of realistic microstructure obtained from SEM images of the material. Monotonic, stress-relaxation and cyclic test data at 725 C were...

Shock Wave Propagation in Cementitious Materials at Micro/Meso Scales Report Title Shock wave response of heterogeneous materials like cement and concrete is greatly influenced by the constituents and their statistical distributions. The microstructure of cement is complex due to the presence of unhydrated water, nano/micro pores, and other hydrated and unhydrated products, such as the C-S-H ge...

Effective elastic properties of a defected solid with distributed cohesive micro-cracks are estimated based on homogenization of the Dugdale–Bilby–Cottrell–Swinden (Dugdale–BCS) type micro-cracks in a two dimensional elastic representative volume element (RVE). Since the cohesive micro-crack model mimics various realistic bond forces at micro-scale, a statistical average of cohesive defects can...