Compendium On Gradient Materials

Author : Albrecht Bertram
Publisher : Springer Nature
ISBN 13 : 3031045009
Total Pages : 307 pages
Book Rating : 4.04/5 ( download)

DOWNLOAD NOW!

Download or read book Compendium on Gradient Materials written by Albrecht Bertram and published by Springer Nature. This book was released on 2022-05-28 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers frameworks for the material modeling of gradient materials both for finite and small deformations within elasticity, plasticity, viscosity, and thermomechanics. The first chapter focuses on balance laws and holds for all gradient materials. The next chapters are dedicated to the material modeling of second and third-order materials under finite deformations. Afterwards the scope is limited to the geometrically linear theory, i.e., to small deformations. The next chapter offers an extension of the concept of internal constraints to gradient materials. The final chapter is dedicated to incompressible viscous gradient fluids with the intention to describe, among other applications, turbulent flows, as already suggested by Saint-Venant in the middle of the 19th century.

Author : Albrecht Bertram
Publisher : Springer Nature
ISBN 13 : 3030438309
Total Pages : 177 pages
Book Rating : 4.02/5 ( download)

DOWNLOAD NOW!

Download or read book Mechanics of Strain Gradient Materials written by Albrecht Bertram and published by Springer Nature. This book was released on 2020-06-30 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past 50 years, strain gradient material theories have been developed for the continuum modeling of size effects in materials and structures in terms of their elasticity, plasticity and fracturing. This book puts forward a unifying perspective to combine existing theories involving the higher order gradient of the strain tensor, or of plastic strain. It begins by reviewing experimental findings on the existence (or non-existence) of size effects on the mechanics of materials. In turn, the book devises first, second and higher order strain gradient theories from general principles, and presents constitutive frameworks that satisfy thermodynamic requirements. The special case of strain gradient plasticity is then developed and illustrated via computational analyses of size effects on the plasticity of metals at small scales. In closing, the book explains the origin of gradient effects in the case of lattice structures by drawing on homogenization theory.

Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 303030406X
Total Pages : 231 pages
Book Rating : 4.65/5 ( download)

DOWNLOAD NOW!

Download or read book Higher Gradient Materials and Related Generalized Continua written by Holm Altenbach and published by Springer Nature. This book was released on 2019-11-04 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses recent findings and advanced theories presented at two workshops at TU Berlin in 2017 and 2018. It underlines several advantages of generalized continuum models compared to the classical Cauchy continuum, which although widely used in engineering practice, has a number of limitations, such as: • The structural size is very small. • The microstructure is complex. • The effects are localized. As such, the development of generalized continuum models is helpful and results in a better description of the behavior of structures or materials. At the same time, there are more and more experimental studies supporting the new models because the number of material parameters is higher.

Author : Holm Altenbach
Publisher : Springer
ISBN 13 : 3319724401
Total Pages : 760 pages
Book Rating : 4.09/5 ( download)

DOWNLOAD NOW!

Download or read book Generalized Models and Non-classical Approaches in Complex Materials 1 written by Holm Altenbach and published by Springer. This book was released on 2018-03-24 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Author : Holm Altenbach
Publisher : Springer
ISBN 13 : 3319317210
Total Pages : 457 pages
Book Rating : 4.12/5 ( download)

DOWNLOAD NOW!

Download or read book Generalized Continua as Models for Classical and Advanced Materials written by Holm Altenbach and published by Springer. This book was released on 2016-04-15 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to an actual topic which is the focus world-wide of various research groups. It contains contributions describing the material behavior on different scales, new existence and uniqueness theorems, the formulation of constitutive equations for advanced materials. The main emphasis of the contributions is directed on the following items - Modelling and simulation of natural and artificial materials with significant microstructure, - Generalized continua as a result of multi-scale models, - Multi-field actions on materials resulting in generalized material models, - Theories including higher gradients, and - Comparison with discrete modelling approaches

Author : Holm Altenbach
Publisher : Springer
ISBN 13 : 3030116654
Total Pages : 525 pages
Book Rating : 4.51/5 ( download)

DOWNLOAD NOW!

Download or read book Dynamical Processes in Generalized Continua and Structures written by Holm Altenbach and published by Springer. This book was released on 2019-03-06 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of chapters on the current problems of the theory of dynamical processes in generalized continua and structures, and has been compiled to commemorate the 70th birthday of Prof. Dmitry Indeitsev – a leading specialist in the field of dynamical processes in solids, fluids and structures. It discusses various applications related to Prof. Indeitsev’s contributions, including various discrete and continuous dynamic models of structures and media, as well as a number of dynamical processes in generalized media.

Author :
Publisher : Academic Press
ISBN 13 : 0128051744
Total Pages : 228 pages
Book Rating : 4.40/5 ( download)

DOWNLOAD NOW!

Download or read book Advances in Applied Mechanics written by and published by Academic Press. This book was released on 2016-10-20 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Applied Mechanics draws together recent, significant advances in various topics in applied mechanics. Published since 1948, the book aims to provide authoritative review articles on topics in the mechanical sciences. While the book is ideal for scientists and engineers working in various branches of mechanics, it is also beneficial to professionals who use the results of investigations in mechanics in various applications, such as aerospace, chemical, civil, environmental, mechanical, and nuclear engineering. Includes contributions from world-leading experts that are acquired by invitation only Beneficial to scientists, engineers, and professionals who use the results of investigations in mechanics in various applications, such as aerospace, chemical, civil, environmental, mechanical, and nuclear engineering Covers not only traditional topics, but also important emerging fields

Author : Albrecht Bertram
Publisher : Springer Nature
ISBN 13 : 3030723283
Total Pages : 410 pages
Book Rating : 4.86/5 ( download)

DOWNLOAD NOW!

Download or read book Elasticity and Plasticity of Large Deformations written by Albrecht Bertram and published by Springer Nature. This book was released on 2021-04-07 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an introduction to material theory and, in particular, to elasticity, plasticity and viscoelasticity, to bring the reader close to the frontiers of today’s knowledge in these particular fields. It starts right from the beginning without assuming much knowledge of the subject. Hence, the book is generally comprehensible to all engineers, physicists, mathematicians, and others. At the beginning of each new section, a brief Comment on the Literature contains recommendations for further reading. This book includes an updated reference list and over 100 changes throughout the book. It contains the latest knowledge on the subject. Two new chapters have been added in this new edition. Now finite viscoelasticity is included, and an Essay on gradient materials, which have recently drawn much attention.

Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 303143210X
Total Pages : 593 pages
Book Rating : 4.01/5 ( download)

DOWNLOAD NOW!

Download or read book Advances in Linear and Nonlinear Continuum and Structural Mechanics written by Holm Altenbach and published by Springer Nature. This book was released on 2023-12-03 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a current image of modern mechanics. The book reflects current state of the art in the field of continuum mechanics and mechanics of structures including recent achievements in classic and non-classic approaches. The chapters are written by leading specialist in the field, so the book collects cutting edge investigations in the field. As a target we consider the society starting from beginners, i.e. master and PhD students, and also leaders in the field, that is professors of universities and civil, mechanical and aerospace engineers.

Author : Marcus Aßmus
Publisher : Springer
ISBN 13 : 3030043541
Total Pages : 127 pages
Book Rating : 4.44/5 ( download)

DOWNLOAD NOW!

Download or read book Structural Mechanics of Anti-Sandwiches written by Marcus Aßmus and published by Springer. This book was released on 2018-12-08 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an extensive introduction to the mechanics of anti-sandwiches: non-classical composites with multiple homogeneous layers but widely differing parameters concerning their geometry and materials. Therefore, they require special attention in the context of structural mechanics. The theoretical framework presented here is based on a five parametric, planar continuum, which is a pragmatic version of the COSSERAT shell. The direct approach used here is enlarged where constraints are introduced to couple layers and furnish a layer-wise theory. Restrictions are made in terms of linearity – geometrical and physical. After having defined appropriate variables for the kinematics and kinetics, linear elastic material behaviour is considered, where the constitutive tensors are introduced in the context of isotropy. The basics are presented in a clear and distinct manner using index-free tensor notation. This format is simple, concise, and practical. Closed-form solutions of such boundary value problems are usually associated with serious limitations on the boundary conditions, which constitutes a serious disadvantage. To construct approximate solutions, a variational method is employed as the basis for computational procedures where the Finite Element Method is applied. Therefore, the introduction of the vector-matrix notation is convenient. Based on the plane considerations, a finite eight-node SERENDIPITY element with enlarged degrees of freedom is realised. To avoid artificial stiffening effects, various integration types are applied, and the solutions generated are subsequently verified with closed-form solutions for monolithic limiting cases. Within this setting, it is possible to efficiently calculate the global structural behaviour of Anti-Sandwiches, at least up to a certain degree. The power of the proposed method in combination with the numerical solution approach is demonstrated for several case and parameter studies. In this regard, the optimal geometrical and material parameters to increase stiffness are analysed and the results for the kinematic and kinetic quantities are discussed.