A stabilized mixed-FE scheme for frictional contact and shear failure analyses in deformable fractured media

Simulation of fracture contact mechanics in deformable fractured media is of paramount important in computational mechanics. Previous studies have revealed that compressive loading may produce mode II fractures, which is quite different from mode I fractures induced by tensile loading. Furthermore, fractures can cross each other. This will...

An interface-enriched generalized finite element formulation for locking-free coupling of non-conforming discretizations and contact

We propose an enriched finite element formulation to address the computational modeling of contact problems and the coupling of non-conforming discretizations in the small deformation setting. The displacement field is augmented by enriched terms that are associated with generalized degrees of freedom collocated along non-conforming...

A hybrid mimetic spectral element method for three-dimensional linear elasticity problems

We introduce a domain decomposition structure-preserving method based on a hybrid mimetic spectral element method for three-dimensional linear elasticity problems in curvilinear conforming structured meshes. The method is an equilibrium method which satisfies pointwise equilibrium of forces. The domain decomposition is established through...

A comparative analysis of Lagrange multiplier and penalty approaches for modelling fluid-structure interaction

Purpose: When simulating fluid-structure interaction (FSI), it is often essential that the no-slip condition is accurately enforced at the wetted boundary of the structure. This paper aims to evaluate the relative strengths and limitations of the penalty and Lagrange multiplier methods, within the context of modelling FSI, through a...

An inexact splitting method for the subspace segmentation from incomplete and noisy observations

Subspace segmentation is a fundamental issue in computer vision and machine learning, which segments a collection of high-dimensional data points into their respective low-dimensional subspaces. In this paper, we first propose a model for segmenting the data points from incomplete and noisy observations. Then, we develop an inexact splitting...

A Substructuring Method to Apply Topology Optimization to System-Component Problems

Since its introduction, Topology Optimization (TO) has been applied to a broad range of design cases. TO is a material distribution method which finds the optimal material lay-out for a given design space while upholding given constraints and boundary conditions. This has made the method popular in structural mechanics where it is used to find...

Gradient-based optimization of flow through porous media: Version 3

These notes form part of the course material for the MSc course AES1490 "Advanced Reservoir Simulation" which has been taught at TU Delft over the past decade as part of the track "Petroleum Engineering and Geosciences" in the two-year MSc program "Applied Earth Sciences".<br/>The notes cover the gradient-based optimization of subsurface flow....

A constrained generalised-? method for coupling rigid parallel chain kinematics and elastic bodies

A problem arises from combining flexible rotorcraft blades with stiffer mechanical links, which form a parallel kinematic chain. This paper introduces a method for solving index-3 differential algebraic equations for coupled stiff and elastic body systems with closed-loop kinematics. Rigid body dynamics and elastic body mechanics are...

Optimal Thrust Allocation Methods for Dynamic Positioning of Ships

The first Dynamic Positioning (DP) systems emerged in the 1960's from the need for deep water drilling by the offshore oil and gas industry, as conventional mooring systems, like a jack-up barge or an anchored rig, can only be used in shallow waters. GustoMSC has been developing DP drill ships since the early 1970's and it is still one of their...

Partitioned FSI strategy for simulations of a thin elastic valve

We present a Fictitious Domain (FD)/Lagrange multiplier method to approximate a thin valve movement immersed in an incompressible fluid. We developed a partitioned FSI algorithm that is able to keep the fluid and structure codes independent and which involve only minor modifications to each one . We propose a quantitative comparison between FD...