104 citations · 422 across the 11 of their papers we have counts for
11 papers
Deposition Rates in Thermal Laser Epitaxy: Simulation and Experiment
Thomas J. Smart, Bilen Emek Abali, Hans Boschker +1
The modeling of deposition rates in Thermal Laser Epitaxy (TLE) is essential for the accurate prediction of the evaporation process and for improved dynamic process control. We dem…
A comparative analysis for different finite element types in strain-gradient elasticity simulations performed on Firedrake and FEniCS
B. Cagri Sarar, M. Erden Yildizdag, Francesco Fabbrocino +1
The layer-upon-layer approach in additive manufacturing, open or closed cells in polymeric or metallic foams involve an intrinsic microstructure tailored to the underlying applicat…
Determining parameters in generalized thermomechanics for metamaterials by means of asymptotic homogenization
Bozo Vazic, Bilen Emek Abali, Pania Newell
Advancement in manufacturing methods enable designing so called metamaterials with a tailor-made microstructure. Microstructure affects materials response within a length-scale, wh…
Thermodynamically-consistent derivation and computation of twinning and fracture in brittle materials by means of phase-field approaches in the finite element method
Benhour Amirian, Hossein Jafarzadeh, Bilen Emek Abali +2
A theoretical-computational framework is proposed for predicting the failure behavior of two anisotropic brittle materials, namely, single crystal magnesium and boron carbide. Cons…
Energy based methods applied in mechanics by using the extended Noether's formalism
Bilen Emek Abali
Physical systems are modeled by field equations; these are coupled, partial differential equations in space and time. Field equations are often given by balance equations and const…
Verification of asymptotic homogenization method developed for periodic architected materials in strain gradient continuum
Hua Yang, Bilen Emek Abali, Wolfgang H. Müller +2
Strain gradient theory is an accurate model for capturing the size effect and localization phenomena. However, the challenge in identification of corresponding constitutive paramet…
Additive manufacturing introduced substructure and computational determination of metamaterials parameters by means of the asymptotic homogenization
Bilen Emek Abali, Emilio Barchiesi
Metamaterials exhibit materials response deviation from conventional elasticity. This phenomenon is captured by the generalized elasticity as a result of extending the theory at th…
Determination of Metamaterial Parameters by Means of a Homogenization Approach Based on Asymptotic Analysis
H. Yang, B. E. Abali, W. H. Müller +1
Owing to additive manufacturing techniques, a structure at millimeter length scale (macroscale) can be produced by using a lattice substructure at micrometer length scale (microsca…
On the Polar Nature and Invariance Properties of a Thermomechanical Theory for Continuum-on-Continuum Homogenization
Kranthi K. Mandadapu, B. Emek Abali, Panayiotis Papadopoulos
This paper makes a rigorous case for considering the homogenized continuum derived by the Irving-Kirkwood procedure as a polar medium in which the balances of angular momentum and…
Theory and computation of electromagnetic fields and thermomechanical structure interaction for systems undergoing large deformations
B. E. Abali, A. F. Queiruga
For an accurate description of electromagneto-thermomechanical systems, electromagnetic fields need to be described in a Eulerian frame, whereby the thermomechanics is solved in a…
An accurate finite element method for the numerical solution of isothermal and incompressible flow of viscous fluid
Bilen Emek Abali
Despite its numerical challenges, finite element method is used to compute viscous fluid flow. A consensus on the cause of numerical problems has been reached; however, general alg…