Application of domain decomposition and transmission line modelling techniques to 2D, time-domain, finite element problems

In this paper a recently published finite element method, which combines domain decomposition with a novel technique for solving nonlinear magnetostatic finite element problems is described. It is then shown how the method can be extended to, and optimised for, the solution of time-domain problems. © 1999 IEEE.

Mechanobiology of bone remodelling

Bone as most of living tissues is able, during its entire lifetime, to adapt its internal microstructure and subsequently its associated mechanical properties to the specific mechanical and physiological environment in a process commonly known as bone remodelling. Bone is therefore continuously renewed and microdamage removed minimizing the risk of fracture. Bone remodelling is controlled by mechanical and metabolical stimuli. In this paper, we introduce a new model of bone remodelling that takes into account both types of influences. The predicted results show a good correspondence with experimental and clinical data. For example, in disuse, bone porosity increases until an equilibrium situation, while, in overloading, decreases unless the damage rate is so high that causes resorption and "stress fracture". This model has been employed to predict bone adaptation in the proximal femur after total hip replacement proving its consistence and good correspondence with well-known clinical experiences.

Mineralization and nanomechanical properties in Articular Calcified Cartilage (ACC)

The contribution of the relative volumes of mineral and collagen to the nanomechanical behavior of articular calcified cartilage is explored using nanoindentation, quantitative backscattered electron imaging, and finite element analysis. Elastic modulus generally increases with mineral volume fraction. In highly mineralized tissues, the mineral occupation of water space significantly increases modulus with addition of little mineral. Mineral and organic phases were modeled using Hashin-Shtrikman composite bounds, calculated as a function of mineral volume fraction. Modulus values fall between the Hashin-Shtrikman bounds, indicating some intermediate degree of mineral phase connectivity. Such connectivity in ACC is greater than that achieved in bone and results from uniform collagen orientation and large volume of water space available for mineral occupation.

Analysis of case histories on deep excavations in marine clay

Two case histories on deep excavation of marine clay are used to study the use of a decision-making tool based on a new deign method called the Mobilized Strength Design (MSD) method which allows the designer to use a simple method of predicting ground displacements during deep excavation. This application can approximately satisfy both safety and serviceability requirements by predicting stresses and displacements under working conditions by introducing the concept of "Mobilizable soil strength". The new method accommodates a number of features which are important to design of underground construction between retaining walls, including different deformation mechanism in different stages of excavation. The influence of wall depth, wall flexibility and stratified ground are the major focus of this paper. These developments should make it possible for a design engineer to take informed decisions on the influence of wall stiffness, or on the need for a jet-grouted base slab, for example, without having to conduct project-specific Finite Element Analysis.

Supporting excavations in clay - From analysis to decision-making

Finite Element Analysis (FEA) is used to calibrate a decision-making tool based on an extension of the Mobilized Strength Design (MSD) method which permits the designer an extremely simple method of predicting ground displacements during construction. This newly extended MSD approach accommodates a number of issues which are important in underground construction between in-situ walls, including: alternative base heave mechanisms suitable either for wide excavations in relatively shallow soft clay strata, or narrow excavations in relatively deep soft strata; the influence of support system stiffness in relation to the sequence of propping of the wall; and the capability of dealing with stratified ground. These developments should make it possible for a design engineer to take informed decisions on the relationship between prop spacing and ground movements, or the influence of wall stiffness, or on the need for and influence of a jet-grouted base slab, for example, without having to conduct project-specific FEA. © 2009 Taylor & Francis Group.