Developments in Constitutive Modelling of Materials: An Extensive Analysis

Authors

  • Devendra Tripathi Student, Aurora Group of Institutions, Hyderabad, Hyderabad, Telangana.

Keywords:

Constitutive Modeling, Material Behavior, Multi-Physics Models, Computational Algorithms, Material Science, Engineering Applications

Abstract

Constitutive modelling plays a pivotal role in understanding the mechanical behavior of materials under various loading conditions. Over the past few decades, significant progress has been made in developing sophisticated models to describe the complex behavior of materials ranging from metals and polymers to biological tissues and composites. This review provides an overview of the latest advances in constitutive modelling techniques, highlighting their applications, strengths, and limitations. It covers various aspects such as plasticity, viscoelasticity, damage mechanics, and multi-scale modeling approaches. Additionally, emerging trends and future directions in the field are discussed. Through this review, we aim to offer insights into the current state-of-the-art in constitutive modelling, paving the way for further advancements in material science, engineering design, and computational mechanics.

References

Hill R. The mathematical theory of plasticity. Oxford university press; 1998.

Rivington CA. Early Printers to the Royal Society 1663-1708. Notes and Records of the Royal Society of London. 1984 Sep 30;39(1):1-27.

Beckes M. Zeitschrift für Angewandte Mathematik und Mechanik. De Gruyter; 1981.

Mises RV. Mechanik der festen Körper im plastischdeformablen Zustand. Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch- Physikalische Klasse. 1913;1913:582-92.

Maxwell JC. On the dynamical theory of gases. InThe kinetic theory of gases: an anthology of classic papers with historical commentary 2003 (pp. 197-261).

Heaviside O. Electromagnetic waves. Cambridge University Press; 2011 Dec 22.

Truesdell C, Toupin R. The classical field theories. Springer Berlin Heidelberg; 1960.

Westergaard HM. Theory of elasticity and plasticity. Harvard University Press; 1952 Dec 31.

Drucker DC, Prager W. Soil mechanics and plastic analysis or limit design. Quarterly of applied mathematics. 1952;10(2):157-65.

Armstrong PJ, Frederick CO. A mathematical representation of the multiaxial Bauschinger effect. Berkeley, CA: Berkeley Nuclear Laboratories; 1966 Jan.

Armstrong PJ, Frederick CO. A mathematical representation of the multiaxial Bauschinger effect. Berkeley, CA: Berkeley Nuclear Laboratories; 1966 Jan.

Ashby MF, Hallam SD. The failure of brittle solids containing small cracks under compressive stress states. Acta metallurgica. 1986 Mar 1;34(3):497-510.

Published

2024-06-21