| # | Title | Journal | Year | Citations |
|---|
| 1 | The numerical computation of turbulent flows | Computer Methods in Applied Mechanics and Engineering | 1974 | 10,323 |
| 2 | Generating optimal topologies in structural design using a homogenization method | Computer Methods in Applied Mechanics and Engineering | 1988 | 5,438 |
| 3 | Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle . | ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik | 1929 | 4,760 |
| 4 | Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement | Computer Methods in Applied Mechanics and Engineering | 2005 | 4,614 |
| 5 | Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations | Computer Methods in Applied Mechanics and Engineering | 1982 | 4,288 |
| 6 | The Mathematical Theory of Equilibrium Cracks in Brittle Fracture | Advances in Applied Mechanics | 1962 | 3,831 |
| 7 | A stable and accurate convective modelling procedure based on quadratic upstream interpolation | Computer Methods in Applied Mechanics and Engineering | 1979 | 3,640 |
| 8 | An efficient constraint handling method for genetic algorithms | Computer Methods in Applied Mechanics and Engineering | 2000 | 3,194 |
| 9 | Mixed Mode Cracking in Layered Materials | Advances in Applied Mechanics | 1991 | 2,952 |
| 10 | The partition of unity finite element method: Basic theory and applications | Computer Methods in Applied Mechanics and Engineering | 1996 | 2,695 |
| 11 | Meshless methods: An overview and recent developments | Computer Methods in Applied Mechanics and Engineering | 1996 | 2,652 |
| 12 | Homotopy perturbation technique | Computer Methods in Applied Mechanics and Engineering | 1999 | 2,547 |
| 13 | Reproducing kernel particle methods | International Journal for Numerical Methods in Fluids | 1995 | 2,374 |
| 14 | A level set method for structural topology optimization | Computer Methods in Applied Mechanics and Engineering | 2003 | 2,319 |
| 15 | Natural convection of air in a square cavity: A bench mark numerical solution | International Journal for Numerical Methods in Fluids | 1983 | 2,261 |
| 16 | Direct numerical simulation of turbulent channel flow up to Reτ=590 | Physics of Fluids | 1999 | 2,184 |
| 17 | Strain-energy-density factor applied to mixed mode crack problems | International Journal of Fracture | 1974 | 1,938 |
| 18 | A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics | Computational Mechanics | 1998 | 1,930 |
| 19 | Über laminare und turbulente Reibung | ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik | 1921 | 1,914 |
| 20 | A New Version of Detached-eddy Simulation, Resistant to Ambiguous Grid Densities | Theoretical and Computational Fluid Dynamics | 2006 | 1,908 |
| 21 | Influence of voids on shear band instabilities under plane strain conditions | International Journal of Fracture | 1981 | 1,900 |
| 22 | Theoretical and numerical constraint-handling techniques used with evolutionary algorithms: a survey of the state of the art | Computer Methods in Applied Mechanics and Engineering | 2002 | 1,867 |
| 23 | On pressure and velocity boundary conditions for the lattice Boltzmann BGK model | Physics of Fluids | 1997 | 1,843 |
| 24 | A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits | Computer Methods in Applied Mechanics and Engineering | 2010 | 1,724 |
| 25 | Generalizing the finite element method: Diffuse approximation and diffuse elements | Computational Mechanics | 1992 | 1,698 |
| 26 | Digital particle image velocimetry | Experiments in Fluids | 1991 | 1,658 |
| 27 | A Mathematical Model Illustrating the Theory of Turbulence | Advances in Applied Mechanics | 1948 | 1,635 |
| 28 | Slightly curved or kinked cracks | International Journal of Fracture | 1980 | 1,614 |
| 29 | The Arithmetic Optimization Algorithm | Computer Methods in Applied Mechanics and Engineering | 2021 | 1,513 |
| 30 | A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice | Computer Methods in Applied Mechanics and Engineering | 2005 | 1,508 |
| 31 | Consistent tangent operators for rate-independent elastoplasticity | Computer Methods in Applied Mechanics and Engineering | 1985 | 1,484 |
| 32 | Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods | Computer Methods in Applied Mechanics and Engineering | 1995 | 1,460 |
| 33 | Strain Gradient Plasticity | Advances in Applied Mechanics | 1997 | 1,325 |
| 34 | The COC algorithm, Part II: Topological, geometrical and generalized shape optimization | Computer Methods in Applied Mechanics and Engineering | 1991 | 1,304 |
| 35 | Stabilization of constraints and integrals of motion in dynamical systems | Computer Methods in Applied Mechanics and Engineering | 1972 | 1,272 |
| 36 | The variational multiscale method—a paradigm for computational mechanics | Computer Methods in Applied Mechanics and Engineering | 1998 | 1,269 |
| 37 | Lagrangian-Eulerian finite element formulation for incompressible viscous flows | Computer Methods in Applied Mechanics and Engineering | 1981 | 1,255 |
| 38 | Fundamental Problems in Viscoplasticity | Advances in Applied Mechanics | 1966 | 1,227 |
| 39 | Robust optimization – A comprehensive survey | Computer Methods in Applied Mechanics and Engineering | 2007 | 1,221 |
| 40 | A phase-field description of dynamic brittle fracture | Computer Methods in Applied Mechanics and Engineering | 2012 | 1,196 |
| 41 | A new finite element formulation for computational fluid dynamics: V. Circumventing the babuška-brezzi condition: a stable Petrov-Galerkin formulation of the stokes problem accommodating equal-order interpolations | Computer Methods in Applied Mechanics and Engineering | 1986 | 1,190 |
| 42 | A new finite element formulation for computational fluid dynamics: VIII. The galerkin/least-squares method for advective-diffusive equations | Computer Methods in Applied Mechanics and Engineering | 1989 | 1,186 |
| 43 | 7. Bericht über Untersuchungen zur ausgebildeten Turbulenz | ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik | 1925 | 1,177 |
| 44 | An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions | Computer Methods in Applied Mechanics and Engineering | 1982 | 1,173 |
| 45 | On localization in ductile materials containing spherical voids | International Journal of Fracture | 1982 | 1,173 |
| 46 | Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods | Computer Methods in Applied Mechanics and Engineering | 1990 | 1,172 |
| 47 | A numerical method for computing the overall response of nonlinear composites with complex microstructure | Computer Methods in Applied Mechanics and Engineering | 1998 | 1,139 |
| 48 | The formation and evolution of synthetic jets | Physics of Fluids | 1998 | 1,118 |
| 49 | A particle image velocimetry system for microfluidics | Experiments in Fluids | 1998 | 1,072 |
| 50 | A novel heuristic optimization method: charged system search | Acta Mechanica | 2010 | 1,063 |
| 51 | Computational methods in Lagrangian and Eulerian hydrocodes | Computer Methods in Applied Mechanics and Engineering | 1992 | 1,052 |
| 52 | A particle method for history-dependent materials | Computer Methods in Applied Mechanics and Engineering | 1994 | 1,052 |
| 53 | Topology optimization of non-linear elastic structures and compliant mechanisms | Computer Methods in Applied Mechanics and Engineering | 2001 | 1,029 |
| 54 | Approximate analytical solution for seepage flow with fractional derivatives in porous media | Computer Methods in Applied Mechanics and Engineering | 1998 | 1,017 |
| 55 | Smoothed Particle Hydrodynamics: Some recent improvements and applications | Computer Methods in Applied Mechanics and Engineering | 1996 | 1,008 |
| 56 | A three-dimensional finite-strain rod model. part II: Computational aspects | Computer Methods in Applied Mechanics and Engineering | 1986 | 1,000 |
| 57 | Capillary effects during droplet impact on a solid surface | Physics of Fluids | 1996 | 995 |
| 58 | Momentum transfer of a Boltzmann-lattice fluid with boundaries | Physics of Fluids | 2001 | 991 |
| 59 | Twenty years of particle image velocimetry | Experiments in Fluids | 2005 | 977 |
| 60 | Hairpin vortex organization in wall turbulence | Physics of Fluids | 2007 | 959 |
| 61 | Universal outlier detection for PIV data | Experiments in Fluids | 2005 | 944 |
| 62 | An overview of projection methods for incompressible flows | Computer Methods in Applied Mechanics and Engineering | 2006 | 944 |
| 63 | Application of extended Mohr–Coulomb criterion to ductile fracture | International Journal of Fracture | 2010 | 941 |
| 64 | An eddy-viscosity subgrid-scale model for turbulent shear flow: Algebraic theory and applications | Physics of Fluids | 2004 | 915 |
| 65 | A three-dimensional large deformation meshfree method for arbitrary evolving cracks | Computer Methods in Applied Mechanics and Engineering | 2007 | 913 |
| 66 | A finite strain beam formulation. The three-dimensional dynamic problem. Part I | Computer Methods in Applied Mechanics and Engineering | 1985 | 912 |
| 67 | Electrospinning and electrically forced jets. I. Stability theory | Physics of Fluids | 2001 | 909 |
| 68 | FE2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials | Computer Methods in Applied Mechanics and Engineering | 2000 | 908 |
| 69 | Modeling holes and inclusions by level sets in the extended finite-element method | Computer Methods in Applied Mechanics and Engineering | 2001 | 904 |
| 70 | The Turbulent Boundary Layer | Advances in Applied Mechanics | 1956 | 898 |
| 71 | Tomographic particle image velocimetry | Experiments in Fluids | 2006 | 897 |
| 72 | Effective properties of composite materials with periodic microstructure: a computational approach | Computer Methods in Applied Mechanics and Engineering | 1999 | 888 |
| 73 | Laminar drag reduction in microchannels using ultrahydrophobic surfaces | Physics of Fluids | 2004 | 888 |
| 74 | Isogeometric analysis of structural vibrations | Computer Methods in Applied Mechanics and Engineering | 2006 | 885 |
| 75 | A review on phase-field models of brittle fracture and a new fast hybrid formulation | Computational Mechanics | 2015 | 885 |
| 76 | Zum Zerfall eines Flüssigkeitsstrahles | ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik | 1931 | 881 |
| 77 | On numerically accurate finite element solutions in the fully plastic range | Computer Methods in Applied Mechanics and Engineering | 1974 | 872 |
| 78 | A thickened flame model for large eddy simulations of turbulent premixed combustion | Physics of Fluids | 2000 | 866 |
| 79 | Mixed finite element methods — Reduced and selective integration techniques: A unification of concepts | Computer Methods in Applied Mechanics and Engineering | 1978 | 854 |
| 80 | Computational Modeling of Turbulent Flows | Advances in Applied Mechanics | 1979 | 853 |
| 81 | Micromechanics of Crystals and Polycrystals | Advances in Applied Mechanics | 1983 | 852 |
| 82 | The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection | Computer Methods in Applied Mechanics and Engineering | 1991 | 843 |
| 83 | Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows | Computer Methods in Applied Mechanics and Engineering | 2007 | 835 |
| 84 | Isogeometric analysis using T-splines | Computer Methods in Applied Mechanics and Engineering | 2010 | 834 |
| 85 | On a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects | Computer Methods in Applied Mechanics and Engineering | 1987 | 820 |
| 86 | A model of nonlinearly hardening materials for complex loading | Acta Mechanica | 1975 | 810 |
| 87 | A posteriori error estimation in finite element analysis | Computer Methods in Applied Mechanics and Engineering | 1997 | 807 |
| 88 | Accelerating Markov Chain Monte Carlo Simulation by Differential Evolution with Self-Adaptive Randomized Subspace Sampling | International Journal of Nonlinear Sciences and Numerical Simulation | 2009 | 807 |
| 89 | Apparent fluid slip at hydrophobic microchannel walls | Physics of Fluids | 2002 | 806 |
| 90 | Theory of dielectric elastomers | Acta Mechanica Solida Sinica | 2010 | 806 |
| 91 | Large-scale 3D random polycrystals for the finite element method: Generation, meshing and remeshing | Computer Methods in Applied Mechanics and Engineering | 2011 | 806 |
| 92 | Interface crack between two elastic layers | International Journal of Fracture | 1990 | 804 |
| 93 | An h-p adaptive method using clouds | Computer Methods in Applied Mechanics and Engineering | 1996 | 803 |
| 94 | An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications | Computer Methods in Applied Mechanics and Engineering | 2020 | 799 |
| 95 | The stochastic finite element method: Past, present and future | Computer Methods in Applied Mechanics and Engineering | 2009 | 778 |
| 96 | Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solution | International Journal for Numerical and Analytical Methods in Geomechanics | 1984 | 773 |
| 97 | Scaling of the velocity fluctuations in turbulent channels up to Reτ=2003 | Physics of Fluids | 2006 | 770 |
| 98 | Isogeometric fluid-structure interaction: theory, algorithms, and computations | Computational Mechanics | 2008 | 768 |
| 99 | Reproducing Kernel Particle Methods for large deformation analysis of non-linear structures | Computer Methods in Applied Mechanics and Engineering | 1996 | 766 |
| 100 | Isogeometric shell analysis with Kirchhoff–Love elements | Computer Methods in Applied Mechanics and Engineering | 2009 | 766 |
