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Register a new userThe combination of singular solutions of infinite micropolar elastic body with axisymetric state of elastic strain and subjected to temprrature field
تركيب الحلول الشاذة لجسم مرن يملك بنية جزيئية، و غير منته و ذي انفعالات مرنة متناظرة محورياً و يخضع لحرارة
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Aِl-Baath University ورقة بحثية
Publication date
2016
fields
Mathematics
and research's language is
العربية
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يتعلق البحث بالنموذج الرياضي لجسم مرن مؤلف من بلورات، متماثل المناحي و متجانس , و يعاني من تشوهات مرنة صغيرة, محورية التناظر, و يخضع إلى حرارة, في النظرية الخطية للمرونة دقيقة الاستقطاب, مركزية التناظر, المعينة بستة ثوابت مادية. في هذا البحث لنعرض أولا المعادلات التحريكية, التي تحكم الإزاحات و الدورانات و الحرارة للجسم المعتبر من أجل حالة التناظر المحوري, الأولى للإنفعالات المرنة.
This paper concerns the mathematical, linear model of micropolar elastic, homogeneous and isotropic body, of axisymetric state of small deformations, in the frame of the linear theory of micropolar elasticity with six material constants . In the paper, first we introduce the dynamic displacements-rotation-temperature equations for the considerable body in the axisymetric state of small deformation , subjected to temperature field.
References used
Gerrit van Dijk , 2013 - Distribution Theory , De Gtuyter Graduate Lectures, Deutsche Nationalbibliothek , Berlin
Debnath , L & Bhatta , D , 2007 – Integral Transforms and their Applications, ( Second Edition), CRC Press, Boca Raton, Florida
B.Słotwińska & J.Dyszlewicz , 1996- The Cerruti problem, Studia Geotechnica et Machanic ,vol.18,No 1-2
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This paper concerns the mathematical model of Ignaczak type for
the Eringen-Nowacki micropolar elastic body of six material
constants, coupled with temperature fields, and initially occupying
a bounded simply connected region in R3.
This paper aims to calculate regular classical and complementary, so regular total Ignaczak solutions coupled with temperature field ,occupying R3 , and with vanishing stresses and temperature on the boundary.
This paper relates to the mathematical, linear model of micropolar
hemitropic elastic, homogeneous and isotropic body, of three
dimensional state of small deformations, in the frame of the linear
coupled dynamical micropolar, hemitropic thermoelasticity with
nine material constants.
This paper concerns the mathematical model of Ignaczak kind for
the Eringen-Nowacki micropolar elastic body with six material
constants, subjected to temperature field, and initially occupying
a bounded simply connected region.
micropolar elastic body of Eringen-Nowacki type
الصيغ التكاملية التي تحدد حلول مسألة معادلات الحركة بالإجهادات و الحرارة
نمط إغناتشاك
الجسم المرن دقيق الاستقطاب من نوع إرينغين-نوفاتسكي
The integral formulas determinating the solution to the problem of the stress-temperature equations of motion of Ignaczak type
This paper concerns the mathematical, linear model of elastic,
homogeneous and isotropic body, with neglected structure and
small elastic deformations, in the frame of linear theory of
elasticity; proposed by Hooke, and shortly called (H).
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