based on the notion of micro-structure in linear elasticity presented by mindlin, a newextended continuum mechanics (ecm) formulation is derived which can be utilized to model thematerial behavior at atomic scale. an attempt has been made to present a formulation capable ofproducing the molecular dynamics (md) simulation results with less computational effort. to thisend, some new kinematical v...

springback is one of the most common and important issues in metal forming area. due to it depends on variety of parameters, it is hard to predict. hence, in this paper, the effect of continuum damage mechanics (cdm) based on the lemaitre isotropic unified damage lawon springback was investigated. swift’s hardening law was employed to describe isotropic hardening behavior.the result showed cons...

Contact mechanics is related to the deformation study of solids that meet each other at one or more points. The physical and mathematical formulation of the problem is established upon the mechanics of materials and continuum mechanics and focuses on computations involving bodies with different characteristics in static or dynamic contact. Contact mechanics gives essential information for the s...

contact mechanics is related to the deformation study of solids that meet each other at one or more points. the physical and mathematical formulation of the problem is established upon the mechanics of materials and continuum mechanics and focuses on computations involving bodies with different characteristics in static or dynamic contact. contact mechanics gives essential information for the s...

this paper investigates the lateral vibration of single-layered graphene sheets based on a new theory called doublet mechanics with a length scale parameter. after a brief reviewing of doublet mechanics fundamentals, a sixth order partial differential equation that governs the lateral vibration of single-layered graphene sheets is derived. using doublet mechanics, the relation between natural f...

Springback is one of the most common and important issues in metal forming area. Due to the fact that springback depends on a variety of parameters, it is hard to predict. Hence, in this paper, the effect of continuum damage mechanics (CDM) on springback was investigated based on the Lemaitre isotropic unified damage law. Swift’s hardening law was employed to describe isotropic hardening behavi...

The continuum mechanic simulation of micro-structural damage process is important in the study of ductile fracture mechanics. In this paper, the continuum damage mechanics model formulation proposed by Lematire has been validated against ductile damage evolution experimentally measured in A533B-C1 steel under stress triaxiality conditions. First, a &#10procedure to identify the model parameters...

The continuum mechanic simulation of micro-structural damage process is important in the study of ductile fracture mechanics. In this paper, the continuum damage mechanics model formulation proposed by Lematire has been validated against ductile damage evolution experimentally measured in A533B-C1 steel under stress triaxiality conditions. First, a procedure to identify the model parameters f...