Built upon the two original books by Mike Crisfield and their own lecture notes, renowned scientist Rene de Borst and his team offer a thoroughly updated yet condensed edition that retains and builds upon the excellent reputation and appeal amongst students and engineers alike for which Crisfield's first edition is acclaimed. Together with numerous additions and updates, the new authors have retained the core content of the original publication, while bringing an improved focus on new developments and ideas. This edition offers the latest insights in non-linear finite element technology, including non-linear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity. The authors' integrated and consistent style and unrivalled engineering approach assures this book's unique position within the computational mechanics literature.

Non-Linear Finite Element Analysis of Solids and Structures: de Borst/Non-Linear Finite Element Analysis of Solids and Structures

An incremental approach to the solution of snapping and buckling problems

SUMMARY AN ANALYSIS is presented which relates the critical value of tensile stress (a,) for unstable cleavage fracture to the fracture toughness (K,,) for a high-nitrogen mild steel under plane strain conditions. The correlation is based on (i) the model for cleavage cracking developed by E. Smith and (ii) accurate plastic*lastic solutions for the stress distributions ahead of a sharp crack derived by J. R. Rice and co-workers. Unstable fracture is found to be consistent with the attainment of a stress intensification close to the tip such that the maximum principal stress a,, exceeds a, over a characteristic distance, determined as twice the grain size. The model is seen to predict the experimentally determined variation of K,, with temperature over the range -150 to -75°C from a knowledge of the yield stress and hardening properties. It is further shown that the onset of fibrous fracture ahead of the tip can be deduced from the position of the maximum achievable stress intensiiication. The relationship between the model for fracture ahead of a sharp crack, and that ahead of a rounded notch, is discussed in detail.

On the relationship between critical tensile stress and fracture toughness in mild steel

Introduction Metal forming process Analysis and technology in metal forming Plasticity and viscoplasticity Methods of analysis The finite element method (1) The finite element method (2) Plane-strain problems Axisymmetric isothermal forging Steady state processes of extrusion and drawing Sheet metal forming Thermo-viscoplastic analysis Compaction and forging of porous metals Three dimensional problems Preform design in metal forming Solid formulation, comparison of two formulations, and concluding remarks Index.

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Metal Forming and the Finite-Element Method

Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates

Progress in three-dimensional elastic-plastic stress analysis for fracture mechanics

: An initial study has been made of a method for optimizing finite element grids. This method is based on the minimum potential energy where th nodal point positions are also treated as independent variables. Necessary conditions have been obtained for the optimized grids. Case studies demonstrate the procedure for a one-dimensional tapered bar under axial load and for a two-dimensional square membrane subjected to a parabolic tensile stress. The optimized grids were observed to give improved stress estimates. (Author)

Optimization of Finite Element Grids Based on Minimum Potential Energy.

: A finite element elastic analysis is made of a skull. Measurements were made of the geometry and thickness of a skull. The skull was then idealized with a doubly curved and arbitrary triangular shell element. Results suggest that the skull is well built for resistance to front loads. The importance of using a composite material through the thickness of the shell was established. On the basis of tensile cracking at maximum elastic stress, loads of 3,500 lbs. and 1,400 lbs. were predicted for the first cracking of the skull due to front and side loading respectively.

Elastic Analysis of a Skull

Nonlinear material and geometric behavior of shell structures.

A finite element method is developed for the large deflection elastic-plastic analysis of axisymmetric shells of revolution. Results were obtained for a torisphere under internal pressure and also for centrally loaded spheres. These results were in reasonable agreement with experiment. A study was made of the effect of elastic-plastic behavior on the buckling of spheres with axisymmetric imperfections subjected to external pressure. It was found that plastic yielding played a significant role in reducing the buckling pressure of these shells. The influence of plastic yielding increased with increase of the thickness to radius ratio.

Pedro V. Marcal

Papers

Progress in three-dimensional elastic-plastic stress analysis for fracture mechanics

Optimization of Finite Element Grids Based on Minimum Potential Energy.

Elastic Analysis of a Skull

Nonlinear material and geometric behavior of shell structures.

Large deflection analysis of elastic-plastic shells of revolution