In this paper, a new method for coupling the finite element method (FEM) and the element-free Galerkin method (EFGM) is proposed for linear elastic and geometrically nonlinear problems using local maximum entropy shape functions in the EFG zone of the problem domain. These shape functions possess a weak Kronecker delta property at the boundaries which provides a natural way to couple the EFG an...

This paper describes formulation and management of constraints that, combined with a nonlinear optimization algorithm, enable interactive geometrically aware manipulation of articulated objects. Going beyond purely kinematic or dynamic approaches, our solution method directly employs geometric constraints to ensure noninterpenetration during object manipulation. We present the formulation of th...

This paper describes formulation and management of constraints, and a nonlinear optimization algorithm that together enable interactive geometrically aware manipulation of articulated objects. Going beyond purely kinematic or dynamic approaches, our solution method directly employs geometric constraints to ensure noninterpenetration during object manipulation. We present the formulation of the ...

In the deformation of layered materials such as geological strata, or stacks of paper, mechanical properties compete with the geometry of layering. Smooth, rounded corners lead to voids between the layers, while close packing of the layers results in geometrically induced curvature singularities. When voids are penalized by external pressure, the system is forced to trade off these competing ef...

Abstract An electromechanical model for beam-like piezoelectric energy harvesters based on Reissner’s beam theory is developed in this paper. The proposed captures first-order shear deformation and large displacement/rotation, which distinguishes from other models reported the literature. All governing equations are presented detail, making associated framework extensible to investigate various...

A safe and economic realisation of tall buildings and other slender structures calls for accurate structural analysis. Several current analysis programs allow for a materially and geometrically nonlinear analysis of reinforced concrete frames, either by frame or three-dimensional elements. For the evaluation of these programs the authors suggest a benchmark. The benchmark comprises seven testin...