scholarly journals Signorini-Type Problems over Non-Convex Sets for Composite Bodies Contacting by Sharp Edges of Rigid Inclusions

Mathematics ◽  
2022 ◽  
Vol 10 (2) ◽  
pp. 250
Author(s):  
Nyurgun P. Lazarev ◽  
Victor A. Kovtunenko

A new type of non-classical 2D contact problem formulated over non-convex admissible sets is proposed. Specifically, we suppose that a composite body in its undeformed state touches a wedge-shaped rigid obstacle at a single contact point. Composite bodies under investigation consist of an elastic matrix and a rigid inclusion. In this case, the displacements on the set, corresponding to a rigid inclusion, have a predetermined structure that describes possible parallel shifts and rotations of the inclusion. The rigid inclusion is located on the external boundary and has the form of a wedge. The presence of the rigid inclusion imposes a new type of non-penetration condition for certain geometrical configurations of the obstacle and the body near the contact point. The sharp-shaped edges of the obstacle effect such sets of admissible displacements that may be non-convex. For the case of a thin rigid inclusion, which is described by a curve and a volume (bulk) rigid inclusion specified in a subdomain, the energy minimization problems are formulated. The solvability of the corresponding boundary value problems is proved, based on analysis of auxiliary minimization problems formulated over convex sets. Qualitative properties of the auxiliary variational problems are revealed; in particular, we have found their equivalent differential formulations. As the most important result of this study, we provide justification for a new type of mathematical model for 2D contact problems for reinforced composite bodies.

2010 ◽  
Vol 52 (2) ◽  
pp. 160-178 ◽  
Author(s):  
A. MATEI ◽  
R. CIURCEA

AbstractA class of problems modelling the contact between nonlinearly elastic materials and rigid foundations is analysed for static processes under the small deformation hypothesis. In the present paper, the contact between the body and the foundation can be frictional bilateral or frictionless unilateral. For every mechanical problem in the class considered, we derive a weak formulation consisting of a nonlinear variational equation and a variational inequality involving dual Lagrange multipliers. The weak solvability of the models is established by using saddle-point theory and a fixed-point technique. This approach is useful for the development of efficient algorithms for approximating weak solutions.


2021 ◽  
Vol 51 (1-2) ◽  
pp. 5-14
Author(s):  
Anna-Klara Bojö

The Bodies’ Poetry: Eva Runefelt, Eva Ström and Swedish Poetry in the Late 1970’s In the mid 1970’s a new type of poetry, associated with the body, emerged in Sweden. Especially young women writers appeared to take Swedish poetry in new aesthetic directions, exploring questions regarding experience and language. This article focuses on two prominent writers, Eva Runefelt and Eva Ström, and discusses how their different types of poetry can be said to be a bodies’ poetry, and how it was discussed in contemporary literary critique. It also reflects on why this strand of poetry has been granted such a peripheral place in literary history.


2018 ◽  
Vol 89 (16) ◽  
pp. 3291-3302 ◽  
Author(s):  
Shuqiang Liu ◽  
Mingfang Liu ◽  
Gaihong Wu ◽  
Xiaofang Zhang ◽  
Juanjuan Yu ◽  
...  

Polylactic acid (PLA) surgical sutures are a new type of absorbable sutures that can be degraded and absorbed in the body. However, there is high hydrophobicity for the surface of PLA sutures, which leads to poor biocompatibility and cellular affinity. In order to increase the hydrophilicity, the PLA sutures were etched by lipase firstly, and then grafted with chitosan. The results indicate that the optimal conditions of treating PLA sutures by lipase were as follows: 45℃ reaction temperature, 4.5 g/L concentration of lipase and 8 h reaction time. The sutures were etched by lipase and then formed some grooves and a number of hydroxyl (-OH) bonds, which led to increased surface area and hydrophilicity, but a drop in mass and strength. The optimal conditions of grafting chitosan onto PLA sutures were as follows: 4 h reaction time and 3 g/L concentration of chitosan. The chitosan grafted and loaded on the surface of PLA sutures, and in some areas of the sutures the chitosan reunited, which led to a rough surface and large friction coefficient. Finally, the hydrophilicity of the PLA sutures, treated by lipase and then grafted with chitosan, was greatly improved.


Litera ◽  
2020 ◽  
pp. 56-74
Author(s):  
Anna Kharitonova

This article examines novella by Maria Krestovskaya “The Outcry” (1900) in the context of reception of the phenomenon of decadence in Russian literature of turn of the XIX – XX centuries. This novella by the mostly forgotten writer, who in her works refers mostly to the female topics (love, family, and profession), is currently of particular interest from the perspective of reflection of cultural trends of that time. A “typical female story” about the unhappy marriage, aimed against the power of money, insincerity and lack of freedom, puts decadence to the forefront of narration as a cultural emblem of the era, revealing the inner motifs and mechanism, which led one of the heroines to an ostentatiously decadent behavior. A contrasts form of protest against the bourgeois world in the novella is the ideology of simplification. The scientific novelty of the conducted research is defined by paucity of research on the works of M. V. Krestovskaya, and absence of special works within the modern literary studies dedicated to her writing heritage. The author’s contribution consists in introduction of novella “The Outcry” into the extensive Russian-European cultural and historical-literary context, as well as its analysis from the perspective of worldview trends and aesthetic influences of the late XIX – early XX centuries. The research proves that this text, which is not the only resort of M. V. Krestovskaya to a new type of here of the “end of century”, can be justifiably attributed to the body of work devoted to the heroes-decadents.


2021 ◽  
Author(s):  
Beata Morzyńska-Wrzosek

This article discusses selected aspects of the problem of self-perception by a sick individual, specific to the poetry of Polish women of the last few decades. The aim of the analysis is to show that the body is central to the illness experience and that a new type of intimacy appears in connection with its ailment. This is a „clinical intimacy”, the specificity of which is defined by a confrontation with suffering, the proliferation of the feeling of isolation, the intensity of emotions related to making the body public, its discovery and exposure in a hospital setting. The issue of „gender expropriation” in a marginal situation is also important, as is the scar, wound, physical violation of the body boundary, read as the „punctum” of the patient's body. The interpretation emphasises the individualization of artistic representations of the aforementioned aspects of „clinical intimacy”. The anthropological research perspective adopted in the sketch allows for the diagnosis of the subject matter in the context of the process of shaping subjective identity.


Leonardo ◽  
2010 ◽  
Vol 43 (3) ◽  
pp. 308-309
Author(s):  
Eunjung Han ◽  
Chee-Onn Wong ◽  
Keechul Jung ◽  
Kyung Ho Lee

Emotion gesture art is a new type of user modeling and representation in a form of aesthetic art. It consists of a unique combination of color, sound and animation (shape) that in itself creates the same emotional feeling for spectators. Emotion gesture art takes the body posture expression and remaps the communication of emotions into an aesthetic representation. This paper also presents an emotion gesture art installation (eG-art), a system prototype for affective computing. This installation will allow a smart blend of a system for affective computing with aesthetic art representation.


Author(s):  
Basarab Nicolescu

A viable education can only be an integral education of the human being. Transdisciplinary education is founded on the inexhaustible richness of the scientific spirit which is based on questioning and of the refusal of all a priori answers and all certitude contradictory to the facts. At the same time, it revalues the role of the deeply rooted intuition, of the imaginary, of sensitivity, and of the body in the transmission of knowledge. It is only in this way that the society of the twenty-first century can reconcile effectivity and respect for the potentiality of every human being. The transdisciplinary approach will be an indispensable complement to the disciplinary approach because it will mean the emergence of continually connected beings, who are able to adapt themselves to the changing exigencies of professional life, and who are endowed with permanent flexibility which is always oriented towards the actualization of their interior potentialities. If the University intends to be a valid actor in sustainable development it has first to recognize the emergence of a new type of knowledge: transdisciplinary knowledge. The new production of knowledge implies a necessary multidimensional opening of the process of learning: towards civil society; towards cyber-space-time; towards the aim of universality; towards a redefinition of the values governing its own existence.


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