Finite element procedures for contact-impact problems download

Finite element procedures for contactimpact problems. Nonlinear finite elements for continua and structures, second edition is a must have textbook for graduate students in mechanical engineering, civil engineering, applied mathematics, engineering mechanics, and materials science, and is also an excellent source of information for researchers and practitioners in industry. Finite element procedures for contact impact problems by zhihua zhong, 1993, oxford university press edition, in english. The displacement of structure is chosen as the basic variable and the nodal contact force in contact. Based on the characteristic of local nonlinearity for the problem, the system of forces acting on the contactor is divided into two parts. However, in order to preserve a pedagogic character, we have interwoven several themes into the book which we feel are of central importance in nonlinear analysis. This new book explains finite element procedures for solving both static and dynamic contact impact problems. You will learn about what is finite element analysis and finite element methods. This new book explains finite element procedures for solving both static and dynamic contactimpact problems. Download now nonlinear finite element analysis of solids and structures volume 2. Laursen, a mortared finite element method for frictional contact on arbitrary surfaces.

The central difference method for time integration will be used in presented formulations. This book deals with finite element procedures for solutions to both static and dynamic contact impact problems. Finite element procedures for solids and structures mit. The work deals with the numerical solution of contact problems by the finite element. Finite element procedures for contact impact problems, oxford university press, isbn 9780198563839, 1993. It extends the classical finite element method by enriching the solution space for solutions to differential equations with discontinuous functions. Polygonal finite element methods for contactimpact problems. Fem uses discretization nodes and elements to model the engineering system, i. Contactimpact problems with shell and beam structures. Beam problem in finite element method stiffness matrices. This paper addresses the formulation and discrete approximation of dynamic contactimpact initial. Constraint methods applied in contact problems with small displacements 5. Algorithms have been tested for some contactimpact cases.

A novel mixed finite element method is proposed for static and dynamic contact problems with friction and initial gaps. Oxford university press, incorporated, 1993 science 371 pages, isbn 9780198563839 the resolution of contactimpact problems, once computationally difficult, has been made easier and more accurate with the finite element method. This specific contact law saves a large amount of calculation time. Semianalytical finite element processes use of orthogonal functions and finite strip.

A parallel finite element procedure for contact impact problems using edgebased smooth triangular element and gpu. Constraint methods applied in contact problems with small displacement. The contact force calculation has significant effect on the accuracy and efficiency of finite element analysis for contactimpact problems. Intended for students, researchers and practitioners interested in numerical solid and structural analysis, as well as for engineers and scientists dealing with technologies in which tribological response must be characterized, the. One also needs to address stress issues at the contact regions between any two elements, stress is induced when a load is applied to two elastic solids in contact. This book deals with finite element procedures for solutions to both static and dynamic contactimpact problems. Finite element analysis for nonlinear elastic problems.

Finite element analysis is now widely used for solving complex static and dynamic problems encountered in engineering and the sciences. Finite element procedures for contactimpact problems 1993. In this paper, an algorithm for contact force calculation in explicit finite element analysis is presented. Section 1, theory and algorithms for large displacement contact impact analysis in two. A simple but general contact searching algorithm is used to treat the contact interface and an algorithm for the contact force is presented. Contactimpact problems with material nonlinearities. Physical problems, mathematical models, and the finite element solution 2. A finite element method for a class of contactimpact problems 257 where p is the density of body 0 in the initial configuration, u is an appropriate wave velocity for body a e. Theory, implementation, and practice november 9, 2010 springer. The resolution of contact impact problems, once computationally difficult, has been made easier and more accurate with the finite element method. Presented are a set of maple procedures and fortran subroutines that can be used to build complete fortran simulation codes for partial differential equations, with the entire problem definition done in maple. The mixed method is shown to be stable if a bubbleenriched finite element space is used for the primal variable and the stabilized method for any pair of discrete spaces. Contactimpact problems with material nonlinearities 6.

In this paper we discuss how finite element methods, and other analysis techniques, should be tested in order to identify their reliability and effectiveness. A procedure that bypasses the aforementioned difficulty is. Simulation using finite element methods is an efficient and inexpensive alternative to predict wear and prescreen various parameters. A unified contact algorithm based on the territory concept. Descriptors finite element, contactimpact, continuum mechanics 17b. The procedure concerned includes a parallel belytschkolintsay shell element generation algorithm and a parallel contact impact algorithm based on the masterslave slideline algorithm. Mixed finite elements discretizations of some variational inequalities arising in elasticity problems in domains with cracks. Finite element analysis of finite strain elastoplastic. A parallel finite element procedure for contactimpact problems using edgebased smooth triangular element and gpu. Finite element formulation and solution of contactimpact problems in. This new book explains finite element procedures for solving both. Within this approach, the unknown displacement field within the polygon is represented by the homogeneous solution to the governing differential equations, also called as the tcomplete set.

The objective of this book is to introduce the various aspects of finite element method as applied to engineering problems in a systematic manner. Dec 26, 2014 in general machines are designed with a set of elements to reduce cost, ease of assembly and manufacturability etc. Impact is an explicit finite element program suite which simulates dynamic impact events. It is known that the standard penalty method, where an additional stiffness term corresponding to contact boundary conditions is applied, attacks the. Finite element formulation and solution of contact impact problems in continuum mechanics iv. Crisfield imperial college of science, technology and medicine, london, uk in such fields as aeronautical, civil, mechanical and structural engineering, nonlinear analysis techniques are becoming widely used for the solution of practical engineering problems. You will learn how to define a contacts and boundary conditions. Finite element procedures for contactimpact problems zhi. Descriptors finite element, contact impact, continuum mechanics 17b. Welcome,you are looking at books for reading, the finite element procedures, you will able to read or download in pdf or epub books and notice some of author may have lock the live reading for some of country. Find, read and cite all the research you need on researchgate. Finite element analysis of a contact with friction between an. Mixed finite element method for static and dynamic contact.

Finite element procedures for contactimpact problems oxford. A generalized finite element approach, based on the principle of virtual work, has been developed using an incremental relaxation procedure. Finite element formulation of large deformation impactcontact problem. The insideoutside contact search algorithm for finite element analysis. It provides not only an introduction to finite element methods and the commonality in the various techniques, but explores stateoftheart methods as well with a focus on what are deemed to become classical techniques procedures that will be standard and authoritative for finite element analysis for years to come. Contactimpact problems with large displacements and large rotations.

This is the first book on fem modelling of contactimpact events and deals with finite element procedures for solutions to both static and dynamic contactimpact. Finite element procedures for contactimpact problems, 1993. Nonlinear finite elements for continua and structures ebook. The work deals with the numerical solution of contact problems by the finite element method. Nonlinear finite elements for continua and structures, 2nd. Polygonal finite element methods for contactimpact problems on nonconformal meshes article in computer methods in applied mechanics and engineering 269. Dec 21, 2001 this work presents the details of a finite elementbased numerical method to analyse general contactimpact problems, called united elements method uem.

Finite element formulation of large deformation impactcontact. Zhongfinite element procedures for contactimpact problems. Updated version of finite element analysis procedure part 1 9 steps in finite element method to solve the numerical problem. Trefftz polygonal finite element for linear elasticity. Nonlinear finite elements for continua and structures by ted. Finite element formulation and solution of contactimpact problems in continuum mechanics iv. A procedure that bypasses the aforementioned difficulty is proposed by means of a novel variational formulation. Finite element contact simulations exhibiting large deformations has been growing as a. This book comprehensively treats the formulation and finite element approximation of contact and impact problems in nonlinear mechanics. Determine the displacements for node 2 and node 3 for the given problem. United elements method for general contactimpact problems. Download now extended finite element method provides an introduction to the extended finite element method xfem, a novel computational method which has been proposed to solve complex crack propagation problems.

The contactimpact problem and its general formulation 3. Anticipating the need for an efficient shell element for crash configuration modelling, we have performed a pilot study of a plate bending element. It has a range of elements, contact handling and different material laws. The application of the finite element method to contact viscoelastic problems is investigated. On a finite element method for dynamic contactimpact problems. Finite element analysis of polyethylene wear in total hip. A parallel finite element procedure for contactimpact problems. Aboriginal, torres strait islander and other first nations people are advised that this catalogue contains names, recordings and images of deceased people and other content that may be culturally sensitive. A contact searching algorithm for contactimpact problems. The contact treatment between bodies has been studied through an augmented lagrangian approach. Finite element formulation and solution of contactimpact. Many students, engineers, scientists and researchers have benefited from the practical, programmingoriented style of the previous editions of programming the finite element method, learning how to develop computer programs to solve specific engineering problems using the finite element method. For these problems a finite element formulation is. The resolution of contactimpact problems, once computationally difficult, has been made easier and more accurate with the finite element method.

In this study, an attempt has been made to investigate the transient analysis of finite strain elastoplastic contactimpact problems using finite element method fem. Contacts are common and important phenomena in engineering. Nonlinear finite elements for continua and structures ted belytschko, wing kam liu, brian moran northwestern university, evanston, illinois this book provides a comprehensive description of the major methodologies of nonlinear finite element analysis for solid mechanics, as applied to continua and structures. A finite element method for a class of contact impact problems 257 where p is the density of body 0 in the initial configuration, u is an appropriate wave velocity for body a e. Quadratic convergence in the finite element analysis of contact problems, incomputational methods in nonlinear mechanics, eds. In this paper, an approach is developed to perform explicit finite element simulations of contactimpact problems with a graphical processing unit gpu using a special edgesmooth triangular shell element. Nonlinear finite elements for continua and structures. New material provides a concise introduction to some of the cuttingedge methods that have evolved in recent years in the field of nonlinear finite element modeling, and includes the extended finite element method xfem, multiresolution continuum theory for multiscale microstructures, and dislocationdensitybased crystalline plasticity. In our research we have continuously focused on the reliability of methods. Finite element analysis fea good modeling and analysis procedures fea is a versatile tool, but not the best analytical tool for every problem.

Finite element procedures for contactimpact problems, 1993, 371 pages, zhihua zhong, 0198563833, 9780198563839, oxford university press, 1993. Finite element procedures for contactimpact problems zhihua. Contact force algorithm in explicit transient analysis using. Finite element method finite element method fem is a numerical procedure for solving mathematical models numerically. The principle of the method is to replace an entire continuous domain by a number of subdomains in which the unknown function is represented by simple interpolation. U01 is dilatational velocity for threedimensional linear elastic bodies, whereas it is barwave velocity in simple bar theory, the subscript 1 refers to. Dropping mass foam block fea setup for this problem introduction to sfepy sfepy stands for simple finite elements for python.

Finite element methods in engineering mechanics instructor. Accurate and efficient shell element with improved reduced integration rules, structural engineering and mechanics, vol. General descriptions and variational formulation of the problem are first given. The objective in this paper is to briefly survey our recent developments of finite element procedures for nonlinear dynamic analysis. It is an fea solver written primarily by robert cimrman. Lockingfree finite elements for unilateral crack problems in. Finite element formulation of large deformation impactcontact problems with.

Finite element procedures for contactimpact problems, oxford university press, oxford 1993. Finite element procedures for contactimpact problems by zhihua zhong, 1993, oxford university press edition, in english. Quadratic finite elements with nonmatching grids for the. Contactimpact problems with large displacements and large rotations 8.

Nov 28, 2014 hertz contact stress analysis and validation using finite element analysis published on nov 28, 2014 in general machines are designed with a set of elements to reduce cost, ease of assembly and. More general and effective finite element procedures are needed for complex shell structures, including for the analysis of composite shells and the optimization of shells. You will learn a step by step procedure to solve engineering problem using ansys workbench. Jun, 2005 this paper shows that it is possible to implement this specific contact law in a dynamic finite element code to simulate thin layers undergoing quasistatic and dynamic problems without physical contact instabilities. The edgesmooth finite element method esfem can improve the computational accuracy of triangular shell elements and the mesh partition efficiency of complex models. An efficient parallel finite element procedure for contact impact problems is presented within the framework of explicit finite element analysis with thepenalty method. Finite element formulation of large deformation impact. In contrast to usual methods, that is lagrange multipliers and penalty function, this method is conceptual, suitable for computer programming, and free from inherent deficiencies of those methods. Finite element modeling of contact and impact problems using python model and the physical system is shown in the next. Like the lagrange multiplier method, the augmented lagrange method.

For secondorder obstacle problems, we study mixed and stabilized methods. Basic steps of the finite element method as stated in the introduction, the finite element method is a numerical procedure for obtaining solutions to boundaryvalue problems. In this paper, an algorithm for contact force calculation. Feb 16, 2015 like many finite element books, this book presents a large variety of methods and recipes for the solution of engineering and scientific problems by the finite element method.

Hertz contact stress analysis and validation using finite. A parallel finite element procedure for contactimpact. We present these exercise solutions to help you using my textbook finite element procedures, 2nd edition, k. Then, general finite element procedures and various techniques to solve the problem are discussed. Computational contact and impact mechanics fundamentals. A study of variational inequalities and finite element methods. A numerical lagrangian approach for analysis of contact. A finite element method for a class of contactimpact problems. Pdf nonlinear finite elements for continua and structures. Pdf finite element formulation and solution of contactimpact. Complete study guide finite element procedures for. Finite element modeling of contact and impact problems using. Nonlinear finite elements for continua and structures ted.

Nonlinear finite elements for continua and structures book. Cook an analysis is doomed to failure without sufficient consideration of all available tools to determine which is most appropriate, and sufficient preanalysis planning to determine the required scope. Bathe, a researcher of world renown in the field of finite element analysis, teaches the basic principles used for effective finite element analysis, describes the general assumptions, and discusses. The contact force calculation has significant effect on the accuracy and efficiency of finite element analysis for contact impact problems. Contact force algorithm in explicit transient analysis. The continuous problem is presented in the context of non. Finite element analysis for elastoplastic problems. An improved dynamic contact model for massspring and finite. Finite element analysis procedure part 1 updated youtube. Nonlinear finite elements for continua and structures, second edition focuses on the formulation and solution of discrete equations for various classes of problems that are of principal interest in applications to solid and structural mechanics.

The extended finite element method xfem is a numerical technique based on the generalized finite element method gfem and the partition of unity method pum. Numerical modeling of contact problems with the finite element. May 25, 2017 in this paper, the accuracy and the convergence properties of trefftz finite element method over arbitrary polygons are studied. This paper presents an explicit smoothed finite element method sfem for elastic dynamic problems.

Finite element modeling of contact problems asim rashid. Finite element procedures part 12, prentice hall, 1995. While on the boundary of the polygon, a conforming displacement field is. Download this book the finite element method in engineering by s. The numerical treatment of contact problems involves the formulation of the. Precontact and postcontact searchign procedures are distinguished. Finite element procedures for contactimpact problems by. Finite element algorithms for contact problems springerlink.