Author
Pedro V. Marcal
Other affiliations: Textron
Bio: Pedro V. Marcal is an academic researcher from Brown University. The author has contributed to research in topics: Finite element method & Mixed finite element method. The author has an hindex of 14, co-authored 18 publications receiving 1872 citations. Previous affiliations of Pedro V. Marcal include Textron.
Papers
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574 citations
TL;DR: In this article, an incremental and piecewise linear finite element theory is developed for the large displacement, large strain regime with particular reference to elastic-plastic behavior in metals, and the resulting equations, though more complex, are in a similar form to those previously developed for large displacement small strain problems, the only additional term being an initial load stiffness matrix which is dependent on current loads.
312 citations
TL;DR: In this article, a numerical model is developed for the welding and subsequent loading of a fabricated structure, which treats the weld process as a thermo-mechanical problem, and the model includes finite strain effects during isothermal loading, so that it may be used in the modeling of distortion sensitive structure.
255 citations
TL;DR: Elastic-plastic finite element analysis of near crack tip stress and strain field structure was performed in this article, where the authors used a finite element finite element (FME) model.
Abstract: Elastic-plastic finite element analysis of near crack tip stress and strain field structure
209 citations
TL;DR: In this article, the principle of virtual work is employed to derive general relations governing geometrically nonlinear structural behavior and three general finite-element analysis models, namely, potential energy, direct and incremental, are formulated for nonlinear pre-and post-buckling analyses.
Abstract: The principle of virtual work is employed to derive general relations governing geometrically nonlinear structural behavior. From these basic relations, three general finite-element analysis models, namely, potential energy, direct and incremental, are formulated for nonlinear pre- and post-buckling analyses. In addition, a quadratic eigenvalue model is developed for the prediction of critical load levels. The analysis models are expressed in matrix notation within the framework of the finite-element technology and an inter-consistency is observed among the component matrices. These matrices are given geometrical interpretation and a hierarchy of nonlinearity is developed. Specific representative finite elements are considered and alternative computational procedures are associated with the several levels in the hierarchy of nonlinearity. Recommendations are made concerning the conduct of geometrically nonlinear finite-element analysis.
169 citations
Cited by
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17 Aug 2012
TL;DR: De Borst et al. as mentioned in this paper present a condensed version of the original book with a focus on non-linear finite element technology, including nonlinear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity.
Abstract: 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.
2,568 citations
TL;DR: In this paper, an incremental approach to the solution of buckling and snapping problems is explored, where the authors use the length of the equilibrium path as a control parameter, together with the second order iteration method of Newton.
1,821 citations
TL;DR: In this paper, 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.
Abstract: 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.
1,374 citations
Book•
09 Mar 1989
TL;DR: In this paper, the finite element method was used to analyze the metal forming process and its properties, including plasticity, viscoplasticity, and plane-strain problems.
Abstract: 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.
1,226 citations
TL;DR: In this paper, the static and dynamic response of the functionally graded material (fgm) plates are investigated by varying the volume fraction of the ceramic and metallic constituents using a simple power law distribution.
1,026 citations