| dc.contributor.author | Gadala, Mohamed S. | |
| dc.date.accessioned | 2021-12-23T07:23:23Z | |
| dc.date.available | 2021-12-23T07:23:23Z | |
| dc.date.issued | 2007-09 | |
| dc.identifier.citation | Gadala, M. S. (1995). Recent advances in the numerical modeling of constitutive relations. Current Advances in Mechanical Design and Production VI, 101-116. | en_US |
| dc.identifier.uri | https://dspace.adu.ac.ae/handle/1/1924 | |
| dc.description | In large strain situation the components of the constitutive tensor will be normally function of the strain state turning the equations to be nonlinear. We consider a specific case of obtaining such components in the following section. It should be noted also that the kinematic formulation of the problem will impact on the use of Eqs. (1.1) and (1.2). Depending on the frame of reference of the kinematic formulation, the above equations may have to be transformed to the same reference frame, e.g., to an updated or current configuration if an updated Lagrangian formulation or an Eulerian formulation is used, respectively. We will discuss such transformation and appropriate stress rates in our handling of elastoplastic models | en_US |
| dc.description.abstract | This chapter presents an overview of the recent developments in the area of numerical and finite element modeling of nonlinear constitutive relations. The chapter discusses the elastic, hyperelastic, elastoplastic and anisotropic plastic material models. A simple and commonly used constitutive law for elastic materials under large deformations is expressed in the chapter. In large strain situation, the components of the constitutive tensor are normally functioning of the strain state turning the equations to be nonlinear. In the hyperelastic model, an emphasis is given to the method by which the incompressibility constraint is applied. A systematic and general procedure for the numerical treatment of hyperelastic model is presented. In the elastoplastic model, both infinitesimal and large strain cases are discussed. Various concerns and implications in extending infinitesimal theories into large strain case are pointed out. In the anisotropic elastoplastic model, emphasis is given to the practicality of proposed theories and its feasible and economical use in the finite element environment. | en_US |
| dc.language.iso | en_US | en_US |
| dc.publisher | Science Direct | en_US |
| dc.subject | Constitutive relations | en_US |
| dc.subject | Hyperelastic model | en_US |
| dc.subject | Constitutive equations | en_US |
| dc.subject | Rubber-like materials | en_US |
| dc.subject | Bubble function | en_US |
| dc.subject | Incompressibility | en_US |
| dc.subject | Large strain | en_US |
| dc.title | Recent advances in the numerical modeling of constitutive relations | en_US |
| dc.title.alternative | Finite Elements in Analysis and Design 24 (1997) 171-185 | en_US |
| dc.title.alternative | Current Advances in Mechanical Design and Production VI Proceedings of The Sixth Cairo University International MDP Conference, Cairo, 2–4 January 1996 | en_US |
| dc.type | Article | en_US |
| dc.identifier.doi | https://doi.org/10.1016/B978-008042140-7/50012-3 | |
