77 citations · 121 across the 7 of their papers we have counts for
6 papers · 1 filter
Structural Symmetry, Multiplicity, and Differentiability of Eigenfrequencies
Shiyao Sun, Kapil Khandelwal
This work investigates the multiplicity and differentiability of eigenfrequencies in structures with various symmetries. In particular, the study explores how the geometric and des…
Finite Strain Robust Topology Optimization Considering Multiple Uncertainties
Nan Feng, Guodong Zhang, Kapil Khandelwal
This paper presents a computational framework for the robust stiffness design of hyperelastic structures at finite deformations subject to various uncertain sources. In particular,…
A cluster mean approach for topology optimization of natural frequencies and bandgaps with simple/multiple eigenfrequencies
Shiyao Sun, Kapil Khandelwal
This study presents a novel approach utilizing cluster means to address the non-differentiability issue arising from multiple eigenvalues in eigenfrequency and bandgap optimization…
Finite Strain Topology Optimization with Nonlinear Stability Constraints
Guodong Zhang, Kapil Khandelwal, Tong Guo
This paper proposes a computational framework for the design optimization of stable structures under large deformations by incorporating nonlinear buckling constraints. A novel str…
Computational frameworks for homogenization and multiscale stability analyses of nonlinear periodic metamaterials
Guodong Zhang, Nan Feng, Kapil Khandelwal
This paper presents a consistent computational framework for multiscale 1st order finite strain homogenization and stability analyses of rate-independent solids with periodic micro…
Computational Design of Finite Strain Auxetic Metamaterials via Topology Optimization and Nonlinear Homogenization
Guodong Zhang, Kapil Khandelwal
A novel computational framework for designing metamaterials with negative Poisson's ratio over a large strain range is presented in this work by combining the density-based topolog…