Modified SFEM for computational homogenization of heterogeneous materials with microstructural geometric uncertainties

Computational Mechanics, 57, 123–147



On the adaptive finite element analysis of the Kohn-Sham equations: methods, algorithms, and implementation

International Journal for Numerical Methods in Engineering


  • Ali Javili
  • Andrew McBride
  • Julia Mergheim
  • Paul Steinmann
  • Ulrike Schmidt

Micro-to-macro transitions for continua with surface structure at the microscale

International Journal of Solids and Structures, 50, 2561–2572



A cohesive crack propagation model: Mathematical theory and numerical solution

Communications on Pure and Applied Analysis, 12, 1705–1729



Optimal Design of Brittle Composite Materials: a Nonsmooth Approach

Journal of Optimization Theory and Applications



Unconstrained and Cauchy-Born-constrained atomistic systems: deformational and configurational mechanics

Archive of Applied Mechanics, 81, 669–684



Towards optimization of crack resistance of composite materials by adjustment of fiber shapes

Engineering Fracture Mechanics, 78, 944–960



Simulation of fracture in heterogeneous elastic materials with cohesive zone models

International Journal of Fracture, 168, 15–29



On thermomechanical solids with boundary structures

International Journal of Solids and Structures, 47, 3245–3253



Natural element analysis of the Cahn–Hilliard phase-field model

Computational Mechanics, 46, 471–493



A comparison of different approaches in the multi-scale computation of configurational forces

International Journal of Fracture, 166, 203–214



Towards the treatment of boundary conditions for global crack path tracking in three-dimensional brittle fracture

Computational Mechanics, 45, 91–107



Smooth Conformal α-NEM for Gradient Elasticity

International Journal of Structural Changes in Solids, 83–109



On the Multiscale Computation of Defect Driving Forces

International Journal for Multiscale Computational Engineering, 7, 457–474



Computational multiscale modelling of heterogeneous material layers

Engineering Fracture Mechanics, 76, 793–812



A finite element framework for continua with boundary energies. Part I: The two-dimensional case

Computer Methods in Applied Mechanics and Engineering, 198, 2198–2208



Computational homogenization of material layers with micromorphic mesostructure

Philosophical Magazine, 88, 3603–3631