Author
Matti Ristinmaa
Other affiliations: Chalmers University of Technology
Bio: Matti Ristinmaa is an academic researcher from Lund University. The author has contributed to research in topics: Finite element method & Constitutive equation. The author has an hindex of 28, co-authored 142 publications receiving 3083 citations. Previous affiliations of Matti Ristinmaa include Chalmers University of Technology.
Papers published on a yearly basis
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14 Nov 2005
TL;DR: In this article, a comprehensive, parallel treatment of constitutive models and appropriate numerical solution strategies, at a conceptual level and with discussion of specific models for illustration, is presented, along with extensive references for further reading.
Abstract: Constitutive modeling is the most intensive research field within solid mechanics. This work offers a comprehensive, parallel treatment of constitutive models and appropriate numerical solution strategies, at a conceptual level and with discussion of specific models for illustration. The exposion of each topic is self-contained and complete with extensive references for further reading. The generality of approach will make this work of interest to postgraduates and researchers with background in mechanics, civil engineering, or materials engineering. Topics include: Elasticity, plasticity theory, creep theory, the nonlinear finite element method, solution of nonlinear equilibrium equations, integration of elastoplastic constitutive equations, the thermodynamic framework for constitutive modeling, thermoplasticity, uniqueness and discontinuous bifurcations. (Less)
367 citations
TL;DR: In this paper, a nonlocal continuum plasticity theory is presented, which is defined as a certain weighted average of the corresponding local field, taken over all the material points in the body, where a quantity with the dimension of length occurs as a material parameter.
173 citations
TL;DR: In this paper, a cellular automaton algorithm with probabilistic cell switches is employed in the simulation of dynamic discontinuous recrystallization, and the model is shown to capture both the microstructural evolution in terms of grain size and grain shape changes and also the macroscopic flow stress behavior of the material.
115 citations
TL;DR: In this paper, a constitutive model for diffusionless phase transitions in elastoplastic materials undergoing large deformations is developed, which takes basic thermodynamic relations as its starting point and the phase transition is treated through an internal variable (the phase fractions) approach.
115 citations
TL;DR: In this article, the virtual work expression for the Euler-Bernoulli beam theory is derived using the nominal strain (Biot's) tensor, and the buckling load of the extensible elastica solution depends on the slenderness, and it is of interest that for small slenderness the bifurcation point becomes unstable.
101 citations
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01 Jan 1997
TL;DR: This chapter introduces the finite element method (FEM) as a tool for solution of classical electromagnetic problems and discusses the main points in the application to electromagnetic design, including formulation and implementation.
Abstract: This chapter introduces the finite element method (FEM) as a tool for solution of classical electromagnetic problems. Although we discuss the main points in the application of the finite element method to electromagnetic design, including formulation and implementation, those who seek deeper understanding of the finite element method should consult some of the works listed in the bibliography section.
1,820 citations
TL;DR: An overview, comparison and critical review of the different approaches to topology optimization, their strengths, weaknesses, similarities and dissimilarities and suggests guidelines for future research.
Abstract: Topology optimization has undergone a tremendous development since its introduction in the seminal paper by Bendsoe and Kikuchi in 1988. By now, the concept is developing in many different directions, including “density”, “level set”, “topological derivative”, “phase field”, “evolutionary” and several others. The paper gives an overview, comparison and critical review of the different approaches, their strengths, weaknesses, similarities and dissimilarities and suggests guidelines for future research.
1,816 citations
TL;DR: In this paper, the main ingredients and assumptions of developing macroscopic inelastic constitutive equations, mainly for metals and low strain cyclic conditions, have been discussed, with some comparisons with the previous ones, including more recent developments that offer potential new capabilities.
1,414 citations
TL;DR: The dynamic recrystallization (DRX) phenomena occurring in different thermo-mechanical processing (TMP) conditions for various metallic materials are reviewed in this article.
1,177 citations
TL;DR: The nonlocal continuum concept has emerged as an effective means for regularizing the boundary value problems with strain softening, capturing the size effects and avoiding spurious localization that gives rise to pathological mesh sensitivity in numerical computations as mentioned in this paper.
Abstract: Modeling of the evolution of distributed damage such as microcracking, void formation, and softening frictional slip necessitates strain-softening constitutive models. The nonlocal continuum concept has emerged as an effective means for regularizing the boundary value problems with strain softening, capturing the size effects and avoiding spurious localization that gives rise to pathological mesh sensitivity in numerical computations. A great variety of nonlocal models have appeared during the last two decades. This paper reviews the progress in the nonlocal models of integral type, and discusses their physical justifications, advantages, and numerical applications.
1,171 citations