Shape-programming of hyperelastic plates through differential growth: an analytical approach

Soft Matter ◽  
2019 ◽  
Vol 15 (11) ◽  
pp. 2391-2399 ◽  
Author(s):  
Jiong Wang ◽  
Qiongyu Wang ◽  
Hui-Hui Dai ◽  
Ping Du ◽  
Danxian Chen
Keyword(s):  
Plane Strain ◽  
Analytical Approach ◽  
Differential Growth ◽  
Shape Programming ◽  
Analytical Formulas

In this work, we study the plane-strain deformations of hyperelastic plates induced by differential growth, aiming to derive some analytical formulas for 2D shape-programming of hyperelastic plates.

An Analytical Approach to Tooth Friction Losses in Spur and Helical Gears—Influence of Profile Modifications

2009 ◽  
Vol 131 (10) ◽  
Author(s):  
P. Velex ◽  
F. Ville
Keyword(s):  
Numerical Simulations ◽  
Analytical Approach ◽  
Tooth Profile ◽  
Design Stage ◽  
Power Losses ◽  
Helical Gears ◽  
Friction Power ◽  
Wide Range ◽  
Analytical Formulas ◽  
Displacement Based

An original displacement-based formulation of tooth friction power losses in spur and helical gears is established, which can account for the influence of tooth profile modifications. Several analytical formulas are derived enabling friction losses to be easily estimated for a wide range of gears at the design stage. Numerous comparisons with both the classic formulas in the literature and the results of numerical simulations are presented, which confirm the accuracy of the proposed approach.

scholarly journals Detailed Analytical Approach to Solve the Magnetoacoustic Tomography with Magnetic Induction (MAT-MI) Problem for Three-Layer Objects

Energies ◽  
2020 ◽  
Vol 13 (24) ◽  
pp. 6515
Author(s):  
Adam Ryszard Zywica ◽  
Marcin Ziolkowski ◽  
Stanislaw Gratkowski
Keyword(s):  
Image Reconstruction ◽  
Magnetic Induction ◽  
Analytical Approach ◽  
Numerical Solutions ◽  
Separation Of Variables ◽  
Radiation Theory ◽  
Reconstruction Quality ◽  
Complex Shapes ◽  
Analytical Formulas ◽  
Analytical Expressions

This paper is devoted to an analytical approach to the magnetoacoustic tomography with magnetic induction (MAT-MI) problem for three-layer low-conductivity objects. For each layer, we determined closed-form analytical expressions for the eddy current density and Lorentz force vectors based on the separation of variables method. Next, the analytical formulas were validated with numerical solutions obtained with the help of the finite element method (FEM). Based on the acoustic dipole radiation theory, the influence of the transducer reception pattern on MAT-MI was investigated. To obtain acoustic wave patterns, as a system transfer function we proposed the Morlet wavelet. Finally, image reconstruction examples for objects of more complex shapes are presented, and the influence of the MAT-MI scanning resolution and the presence of the noise on the image reconstruction quality was studied in detail.

scholarly journals Extension of application field of analytical formulas for the computation of projectile motion in midair

2013 ◽  
Vol 35 (1) ◽  
Author(s):  
Peter Chudinov
Keyword(s):  
Initial Velocity ◽  
Analytical Approach ◽  
Initial Speed ◽  
Air Drag ◽  
Application Field ◽  
Projectile Motion ◽  
Classic Problem ◽  
Analytical Formulas ◽  
Drag Factor ◽  
Launch Angle

The classic problem of the motion of a point mass (projectile) thrown at an angle to the horizon is reviewed. The air drag force is taken into account with the drag factor assumed to be constant. An analytical approach is used for the investigation. Application field of the previously obtained approximate analytical formulas has been expanded both in the upward launch angle and in the direction of increase of the initial speed of the projectile. The motion of a baseball is presented as an example. It is shown that in a sufficiently wide ranges of initial velocity and launch angle the relative error in calculating the distance of the ball does not exceed 1%.

scholarly journals A displacement-based approach to geometric instabilities of a film on a substrate

2019 ◽  
Vol 24 (9) ◽  
pp. 2999-3023 ◽  
Author(s):  
Ali Javili ◽  
A. Derya Bakiler
Keyword(s):  
Plane Strain ◽  
Plane Stress ◽  
Three Dimensional ◽  
Current Approach ◽  
Original Form ◽  
Differential Growth ◽  
Plane Stress Condition ◽  
Subtle Difference ◽  
Compressive Stresses ◽  
Displacement Based

When a thin film adhered to a compliant substrate is growing, it will eventually buckle in order to release the compressive stresses accumulated within the film due to growth. Such geometric instabilities caused by compressive stresses prevail among all living systems in nature and their outcomes range from highly beneficial to destructive. Therefore, understanding compression induced instabilities is of crucial importance. Note that the origin of the “compression” need not necessarily be differential growth, as it may be due to pre-stretch or thermal expansion. A commonly accepted solution strategy for instabilities in bilayer structures dates back to the seminal work of Allen and employs the Airy stress functions. Owing to its reliance on a stress-based approach, the Allen solution is limited to linear two-dimensional problems and its success depends entirely on choosing an appropriate Airy function. The main objective of this contribution is to circumvent these limitations via a displacement-based approach formally suitable for three-dimensional problems, anisotropic materials, and even applicable to finite deformations. Furthermore, the Allen solution in its original form is valid for the plane-stress condition but often it is mistakenly compared with the numerical simulations corresponding to the plane-strain condition. We analyze the subtle difference between the solutions associated with the plane-strain and plane-stress conditions. Next, the analytical solution is compared against the computational results using the finite element method via eigenvalue analysis. Finally, it is briefly explained how the current approach can be utilized beyond the classical bilayer systems.

Differential growth effect of regenerating (reg) protein on a rat ß-cell line

2001 ◽  
Vol 120 (5) ◽  
pp. A338-A339
Author(s):  
Z FAN ◽  
H WU ◽  
S PATEL ◽  
M ZENILMAN
Keyword(s):  
Cell Line ◽  
Growth Effect ◽  
Differential Growth

The Dynamics of TAT Process

2014 ◽  
Vol 35 (2) ◽  
pp. 103-133 ◽  
Author(s):  
Benoît Verdon ◽  
Catherine Chabert ◽  
Catherine Azoulay ◽  
Michèle Emmanuelli ◽  
Françoise Neau ◽  
...  
Keyword(s):  
Defense Mechanisms ◽  
Analytical Approach ◽  
Therapeutic Process ◽  
Practice Research ◽  
Rorschach Test ◽  
Mental Functioning ◽  
Projective Tests ◽  
The Subject ◽  
Latent Content ◽  
Rigorous Method

After many years of clinical practice, research and the teaching of projective tests, Shentoub and her colleagues (Debray, Brelet, Chabert & al.) put forward an original and rigorous method of analysis and interpretation of the TAT protocols in terms of psychoanalysis and clinical psychopathology. They developed the TAT process theory in order to understand how the subject builds a narrative. Our article will emphasize the source of the analytical approach developed by V. Shentoub in the 1950s to current research; the necessity of marking the boundary between the manifest and latent content in the cards; the procedure for analyzing the narrative, supported by an analysis sheet for understanding the stories' structure and identifying the defense mechanisms; and how developing hypotheses about how the mental functions are organized, as well as their potential psychopathological characteristics; and the formulation of a diagnosis in psychodynamic terms. In conjunction with the analysis and interpretation of the Rorschach test, this approach allows us to develop an overview of the subject's mental functioning, taking into account both the psychopathological elements that may threaten the subject and the potential for a therapeutic process. We will illustrate this by comparing neurotic, borderline, and psychotic personalities.

Maxim Berezovsky C-dur symphony in a context of new biographical scenario of artist’s life-creativity

2018 ◽  
pp. 13-25
Author(s):  
Olha Shumilina
Keyword(s):  
Eighteenth Century ◽  
Instrumental Music ◽  
Analytical Approach ◽  
Spiritual Direction ◽  
Theoretical Research ◽  
Orchestral Music ◽  
Musical Life ◽  
Analysis And Synthesis ◽  
Mental Modeling ◽  
Independent Work

Relevance of the study. The article studies recently found symphony of the prominent Ukrainian composer of the second half of the eighteenth century Maxim Berezovsky. He is widely known now as the author of cyclic spiritual concerts written for the Orthodox worship, and is practically unknown as a musician instrumentalist associated with the imperial theater and the court musical life. The work of M. Berezovsky as a secular musician determined the creative interest in composing instrumental music intended for secular chamber and orchestral music. Main objective of the article is a clarification of M.Berezovsky symphony as one of secular field artworks in the light of new summaries about artist’s life-creativity. Methodology. Taking into account peculiarities of the material and the analytical approach to its study, the methods of theoretical research have been chosen(abstraction, analysis and synthesis, induction and deduction, mental modeling, ascension from abstract to concrete, etc.). Conclusions. As a result of a study the symphony analysis in a context of new authentic statements about M.Berezovsky’s life-creativity. It was stated that this artwork was written not accidentally and detects absolute awareness of the artist in all composer’s niceties – how to build a topic and build a homophonic construction based on it, in a technique of orchestral construction, form creations of that time and etc. From the beginning of his creative career, M. Berezovsky was well aware of the possibilities of the orchestra as a performer, attached to the Italian opera and instrumental music. Symphony enriches our imagination about the works of M. Berezovsky in the field of secular instrumental and operatic music and extends the range of works of the artist beyond the spiritual direction. Some signs indicate that the Symphony was not an independent work, but an overture to the opera Demofont.

Maxim Berezovsky C-dur symphony in a context of new biographical scenario of artist’s life-creativity

2018 ◽  
pp. 13-25
Author(s):  
Olha Shumilina
Keyword(s):  
Eighteenth Century ◽  
Instrumental Music ◽  
Analytical Approach ◽  
Spiritual Direction ◽  
Theoretical Research ◽  
Orchestral Music ◽  
Musical Life ◽  
Analysis And Synthesis ◽  
Mental Modeling ◽  
Independent Work

Relevance of the study. The article studies recently found symphony of the prominent Ukrainian composer of the second half of the eighteenth century Maxim Berezovsky. He is widely known now as the author of cyclic spiritual concerts written for the Orthodox worship, and is practically unknown as a musician instrumentalist associated with the imperial theater and the court musical life. The work of M. Berezovsky as a secular musician determined the creative interest in composing instrumental music intended for secular chamber and orchestral music. Main objective of the article is a clarification of M.Berezovsky symphony as one of secular field artworks in the light of new summaries about artist’s life-creativity. Methodology. Taking into account peculiarities of the material and the analytical approach to its study, the methods of theoretical research have been chosen(abstraction, analysis and synthesis, induction and deduction, mental modeling, ascension from abstract to concrete, etc.). Conclusions. As a result of a study the symphony analysis in a context of new authentic statements about M.Berezovsky’s life-creativity. It was stated that this artwork was written not accidentally and detects absolute awareness of the artist in all composer’s niceties – how to build a topic and build a homophonic construction based on it, in a technique of orchestral construction, form creations of that time and etc. From the beginning of his creative career, M. Berezovsky was well aware of the possibilities of the orchestra as a performer, attached to the Italian opera and instrumental music. Symphony enriches our imagination about the works of M. Berezovsky in the field of secular instrumental and operatic music and extends the range of works of the artist beyond the spiritual direction. Some signs indicate that the Symphony was not an independent work, but an overture to the opera Demofont.

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