Analytical Investigation of Continuous Contact Problem Between Orthotropic Layer and Isotropic Half-Plane

Erdal Öner

Makale detayları

Analytical Investigation of Continuous Contact Problem Between Orthotropic Layer and Isotropic Half-Plane

Yazarlar:

Erdal Öner

Yayıncı:

Recep Tayyip Erdoğan University

Ana Başlıklar:

Teorik ve Uygulamalı Mekanik Matematiği

Dergi:

Recep Tayyip Erdoğan Üniversitesi Fen ve Mühendislik Bilimleri Dergisi Vol.4 Issue 2, pp.154-171

Belge Tipi:

Makale

Yayın Tarihi:

12/2023

Belge Dili:

Türkçe

Document ID (Org No.):

2001306848

pISSN:

2687-2315

Anahtar kelimeler:

Özet:

 Computational contact mechanics is of great importance in mechanical and civil engineering fields, as well as in environmental and medical applications. This branch of mechanics seeks numerical solutions to contact area, pressure, deformation, and stresses in response to the interaction of two bodies. The subject of contact mechanics has contributed significantly to the development of new and interesting fields in mechanics and applied mathematical sciences in recent years. In this study, the problem of continuous contact of the orthotropic layer resting on the isotropic half-plane is analyzed by analytical method. Only the mass force of the orthotropic layer is taken into account in the solution. The orthotropic layer was loaded by a punch with a rigid flat profile. All surfaces are assumed to be frictionless. The theory of elasticity and integral transformation techniques are used to obtain the displacement and stress expressions for the orthotropic layer and the isotropic half-plane. As a result of the study, depending on various dimensionless parameters and orthotropic material types, the contact stress under the punch, the critical separation load causing the initial separation between the orthotropic layer and the isotropic half-plane, and the critical separation distance were obtained as dimensionless.

 Computational contact mechanics is of great importance in mechanical and civil engineering fields, as well as in environmental and medical applications. This branch of mechanics seeks numerical solutions to contact area, pressure, deformation, and stresses in response to the interaction of two bodies. The subject of contact mechanics has contributed significantly to the development of new and interesting fields in mechanics and applied mathematical sciences in recent years. In this study, the problem of continuous contact of the orthotropic layer resting on the isotropic half-plane is analyzed by analytical method. Only the mass force of the orthotropic layer is taken into account in the solution. The orthotropic layer was loaded by a punch with a rigid flat profile. All surfaces are assumed to be frictionless. The theory of elasticity and integral transformation techniques are used to obtain the displacement and stress expressions for the orthotropic layer and the isotropic half-plane. As a result of the study, depending on various dimensionless parameters and orthotropic material types, the contact stress under the punch, the critical separation load causing the initial separation between the orthotropic layer and the isotropic half-plane, and the critical separation distance were obtained as dimensionless.

 Computational contact mechanics is of great importance in mechanical and civil engineering fields, as well as in environmental and medical applications. This branch of mechanics seeks numerical solutions to contact area, pressure, deformation, and stresses in response to the interaction of two bodies. The subject of contact mechanics has contributed significantly to the development of new and interesting fields in mechanics and applied mathematical sciences in recent years. In this study, the problem of continuous contact of the orthotropic layer resting on the isotropic half-plane is analyzed by analytical method. Only the mass force of the orthotropic layer is taken into account in the solution. The orthotropic layer was loaded by a punch with a rigid flat profile. All surfaces are assumed to be frictionless. The theory of elasticity and integral transformation techniques are used to obtain the displacement and stress expressions for the orthotropic layer and the isotropic half-plane. As a result of the study, depending on various dimensionless parameters and orthotropic material types, the contact stress under the punch, the critical separation load causing the initial separation between the orthotropic layer and the isotropic half-plane, and the critical separation distance were obtained as dimensionless.

 Hesaplamalı temas mekaniği, makine ve inşaat mühendisliği gibi alanların yanı sıra çevre ve tıbbi uygulamalarda da büyük önem taşımaktadır. Mekaniğin bu dalı, iki cismin etkileşimine yanıt olarak temas alanı, basınç, deformasyon ve gerilmelere sayısal çözümler arar. Temas mekaniği konusu, son yıllarda mekanik ve uygulamalı matematik bilimlerinde yeni ve ilginç alanların gelişmesine önemli derecede katkı sağlamıştır. Bu çalışmada izotrop yarım düzlem üzerine oturan ortotrop tabakanın sürekli temasına ilişkin problem analitik yöntemle incelenmiştir. Çözümde sadece ortotrop tabakanın kütle kuvveti hesaba katılmıştır. Ortotrop tabaka rijit düz profile sahip bir panç vasıtasıyla yüklenmiştir. Tüm yüzeylerin sürtünmesiz olduğu varsayılmıştır. Ortotrop tabaka ve izotrop yarım düzlem için yer değiştirme ve gerilme ifadelerinin elde edilmesinde elastisite teorisi ve integral dönüşüm tekniklerinden yararlanılmıştır. Çalışma sonucunda çeşitli boyutsuz parametrelere ve ortotrop malzeme türlerine bağlı olarak panç altındaki temas gerilmesi, ortotrop tabaka ile izotrop yarım düzlem arasında ilk ayrılmaya neden olan kritik ayrılma yükü ve kritik ayrılma uzaklığı boyutsuz olarak elde edilmiştir.

Makale detayları

Analytical Investigation of Continuous Contact Problem Between Orthotropic Layer and Isotropic Half-Plane

Yazarlar:

Erdal Öner

Yayıncı:

Recep Tayyip Erdoğan University

Ana Başlıklar:

Teorik ve Uygulamalı Mekanik Matematiği

Dergi:

Recep Tayyip Erdoğan Üniversitesi Fen ve Mühendislik Bilimleri Dergisi Vol.4 Issue 2, pp.154-171

Belge Tipi:

Makale

Yayın Tarihi:

12/2023

Belge Dili:

Türkçe

Document ID (Org No.):

2001306848

pISSN:

2687-2315

Orthotropic layer

Contact stress

Integral equation

Critical separation load

Critical separation distanceOrtotrop tabaka

Temas gerilmesi

İntegral denklem

Kritik ayrılma yükü

Kritik ayrılma uzaklığı

Sayı

Makale detayları

Yazarlar: Erdal Öner

Yayıncı: Recep Tayyip Erdoğan University

Ana Başlıklar: Teorik ve Uygulamalı Mekanik Matematiği

Dergi: Recep Tayyip Erdoğan Üniversitesi Fen ve Mühendislik Bilimleri Dergisi Vol.4 Issue 2, pp.154-171

Belge Tipi: Makale

Yayın Tarihi: 12/2023

Belge Dili: Türkçe

Document ID (Org No.): 2001306848

pISSN: 2687-2315

Sayı

Yazarlar:

Erdal Öner

Yayıncı:

Recep Tayyip Erdoğan University

Ana Başlıklar:

Teorik ve Uygulamalı Mekanik Matematiği

Dergi:

Recep Tayyip Erdoğan Üniversitesi Fen ve Mühendislik Bilimleri Dergisi Vol.4 Issue 2, pp.154-171

Belge Tipi:

Makale

Yayın Tarihi:

12/2023

Belge Dili:

Türkçe

Document ID (Org No.):

2001306848

pISSN:

2687-2315