This paper presents an overview of the theories and computer implementation aspects of
phase field models (PFM) of fracture. The advantage of PFM over discontinuous approaches …

Fluid–structure interaction is ubiquitous in nature and occurs at all biological scales.
Immersed methods provide mathematical and computational frameworks for modeling fluid …

The concept of isogeometric analysis is proposed. Basis functions generated from NURBS
(Non-Uniform Rational B-Splines) are employed to construct an exact geometric model. For …

A Kirchhoff–Love shell element is developed on the basis of the isogeometric approach [16].
NURBS as basis functions for analysis have proven to be very efficient and offer the great …

A Reissner–Mindlin shell formulation based on a degenerated solid is implemented for
NURBS-based isogeometric analysis. The performance of the approach is examined on a …

We explore hierarchical refinement of NURBS as a basis for adaptive isogeometric and
immersed boundary analysis. We use the principle of B-spline subdivision to derive a local …

We present formulations for compressible and incompressible hyperelastic thin shells which
can use general 3D constitutive models. The necessary plane stress condition is enforced …

In this paper we present an isogeometric formulation for rotation-free thin shell analysis of
structures comprised of multiple patches. The structural patches are C1-or higher-order …

An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness
cracks in thin shell structures is developed. The discretization is based on Non-Uniform …

In this two‐part paper we present a collection of numerical methods combined into a single
framework, which has the potential for a successful application to wind turbine rotor …