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List of works by Peter Wriggers

2D contact smooth formulation based on the mortar method

3D Dynamic Crack Propagation by the Extended Finite Element Method and a Gradient-Enhanced Damage Model

3D beam-to-beam contact within coupled electromechanical fields: a finite element model

3D corrected XFEM approach and extension to finite deformation theory

3D ductile crack propagation within a polycrystalline microstructure using XFEM

3D multiscale crack propagation using the XFEM applied to a gas turbine blade

A 3D beam-to-beam contact finite element for coupled electric-mechanical fields

A 3D study of the contact interface behavior using elastic-plastic constitutive equations

A C 1 -continuous formulation for 3D finite deformation frictional contact

A Concurrent Multiscale Approach to Non-cohesive Granular Materials

A DEM-FEM Coupling Approach for the Direct Numerical Simulation of 3D Particulate Flows

A MOLECULAR DYNAMICS-CONTINUUM CONCURRENT MULTISCALE MODEL FOR QUASI-STATIC NANOSCALE CONTACT PROBLEMS

A Numerical Review of Multi-Fluid SPH Algorithms for High Density Ratios

A Petrov–Galerkin transformation that eliminates spurious oscillations for heterogeneous diffusion–reaction equations

A Review on Cementitious Self-Healing and the Potential of Phase-Field Methods for Modeling Crack-Closing and Fracture Recovery

scientific article published on 21 November 2020

A chemo-mechano-biological formulation for the effects of biochemical alterations on arterial mechanics: the role of molecular transport and multiscale tissue remodelling

scientific article published in November 2017

A computational homogenization framework for soft elastohydrodynamic lubrication

scholarly article by M. Budt et al published 28 April 2012 in Computational Mechanics

A computational study of interfacial debonding damage in fibrous composite materials

A contact detection algorithm for superellipsoids based on the common‐normal concept

A contact layer element for large deformations

A domain decomposition method for bodies with heterogeneous microstructure basedon material regularization

A finite deformation brick element with inhomogeneous mode enhancement

A finite element method for contact using a third medium

A finite element method for stability problems in finite elasticity

A finite element model for contact analysis of multiple Cosserat bodies

scholarly article by H. W. Zhang et al published 14 April 2005 in Computational Mechanics

A finite element post-processed Galerkin method for dimensional reduction in the non-linear dynamics of solids. Applications to shells

A formulation for frictionless contact problems using a weak form introduced by Nitsche

scholarly article by Peter Wriggers & Giorgio Zavarise published 11 July 2007 in Computational Mechanics

A formulation for the 4-node quadrilateral element

A formulation to define the contact surface in the 2D mortar finite element method

A fully non-linear axisymmetrical quasi-kirchhoff-type shell element for rubber-like materials

scholarly article by R. Eberlein et al published 15 December 1993 in International Journal for Numerical Methods in Engineering

A fully nonlinear multi-parameter shell model with thickness variation and a triangular shell finite element

A fully non‐linear axisymmetrical membrane element for rubber‐like materials

A general procedure for the direct computation of turning and bifurcation points

A large deformation frictional contact formulation using NURBS-based isogeometric analysis

A low order virtual element formulation for finite elasto-plastic deformations

A macro-element for incompressible finite deformations based on a volume averaged deformation gradient

scholarly article by E. F. I. Boerner & Peter Wriggers published 7 March 2008 in Computational Mechanics

A master-surface to master-surface formulation for beam to beam contact. Part I: frictionless interaction

A master-surface to master-surface formulation for beam to beam contact. Part II: Frictional interaction

A method of substructuring large-scale computational micromechanical problems

A micromechanically motivated higher-order continuum formulation of linear thermal conduction

A model for simulating the deterioration of structural-scale material responses of microheterogeneous solids

article

A modified Gurson-type plasticity model at finite strains: formulation, numerical analysis and phase-field coupling

article by Fadi Aldakheel et al published 28 December 2017 in Computational Mechanics

A mortar formulation for 3D large deformation contact using NURBS-based isogeometric analysis and the augmented Lagrangian method

scholarly article by L. De Lorenzis et al published 14 July 2011 in Computational Mechanics

A mortar-based frictional contact formulation for large deformations using Lagrange multipliers

A multi-scale computational method including contact for the analysis of damage in composite materials

A multiscale contact homogenization technique for the modeling of third bodies in the contact interface

A new finite element based on the theory of a Cosserat point—extension to initially distorted elements for 2D plane strain

A new locking-free brick element technique for large deformation problems in elasticity

A new mixed finite element based on different approximations of the minors of deformation tensors

article published in 2011

A nonlinear composite shell element with continuous interlaminar shear stresses

scholarly article by F. Gruttmann et al published December 1993 in Computational Mechanics

A nonlinear quadrilateral shell element with drilling degrees of freedom

A nonlocal cohesive zone model for finite thickness interfaces – Part I: Mathematical formulation and validation with molecular dynamics

A nonlocal cohesive zone model for finite thickness interfaces – Part II: FE implementation and application to polycrystalline materials

A novel mixed finite element for finite anisotropic elasticity; the SKA-element Simplified Kinematics for Anisotropy

A numerical investigation of the interplay between cohesive cracking and plasticity in polycrystalline materials

article by Marco Paggi et al published September 2013 in Computational Materials Science

A numerical model for thermomechanical contact based on microscopic interface laws

A perturbed Lagrangian formulation for the finite element solution of contact problems

A quadratically convergent procedure for the calculation of stability points in finite element analysis

A segment-to-segment contact strategy

A sharp-interface model for diffusional evolution of precipitates in visco-plastic materials

scientific article published in 2022

A simple formulation for two-dimensional contact problems using a moving friction cone

A simple method for the calculation of postcritical branches

article by W. Wagner & Peter Wriggers published February 1988 in Engineering Computations

A strategy for numerical testing of frictional laws with application to contact between soil and concrete

A superlinear convergent augmented Lagrangian procedure for contact problems

A triangular finite shell element based on a fully nonlinear shell formulation

A two-level iteration method for solution of contact problems

A two-scale model of granular materials

A virtual element method for contact

Adaptive Finite Elements for Elastic Bodies in Contact

Adaptive methods for frictionless contact problems

Adaptive methods for thermomechanical coupled contact problems

Advection approaches for single- and multi-material arbitrary Lagrangian–Eulerian finite element procedures

scholarly article by D. Fressmann & Peter Wriggers published 8 December 2005 in Computational Mechanics

Aerodynamical and Structural Analysis of Operationally Used Turbine Blades

Algorithms for non-linear contact constraints with application to stability problems of rods and shells

scholarly article by Peter Wriggers et al published 1987 in Computational Mechanics

An ALE method for penetration into sand utilizing optimization-based mesh motion

An EBSD Evaluation of the Microstructure of Crept Nimonic 101 for the Validation of a Polycrystal–Plasticity Model

An XFEM approach for modelling delamination in composite laminates

An adaptive finite element algorithm for contact problems in plasticity

scholarly article by Peter Wriggers & O. Scherf published December 1995 in Computational Mechanics

An adaptive method for homogenization in orthotropic nonlinear elasticity

An adaptive model order reduction by proper snapshot selection for nonlinear dynamical problems

An adaptive model order reduction with Quasi-Newton method for nonlinear dynamical problems

An adaptive multiscale method for crack propagation and crack coalescence

An adaptive multiscale resolution strategy for the finite deformation analysis of microheterogeneous structures

An advanced abrasion model for tire wear

An axisymmetrical quasi-Kirchhoff-type shell element for large plastic deformations

An energy–momentum integration scheme and enhanced strain finite elements for the non-linear dynamics of shells

An exact conserving algorithm for nonlinear dynamics with rotational DOFs and general hyperelasticity. Part 1: Rods

An exact conserving algorithm for nonlinear dynamics with rotational DOFs and general hyperelasticity. Part 2: shells

article

An h-adaptive method for elasto-plastic shell problems

An improved EAS brick element for finite deformation

scholarly article by Jože Korelc et al published 6 June 2010 in Computational Mechanics

An interior-point algorithm for elastoplasticity

An updated Lagrangian formulation for Timoshenko beams including non-conservative loads for divergence-type systems

Application of Frictional Contact in Geotechnical Engineering

Application of augmented Lagrangian techniques for non-linear constitutive laws in contact interfaces

Approximation of incompressible large deformation elastic problems: some unresolved issues

Arbitrary Lagrangian Eulerian finite element analysis of free surface flow

Aspects of the computational testing of the mechanical properties of microheterogeneous material samples

Asymptotic upper bounds for the errors of Richardson extrapolation with practical application in approximate computations

Automation of Finite Element Methods

Calculation of impact-contact problems of thin elastic shells taking into account geometrical nonlinearities within the contact region

Comparative crash simulations incorporating the results of sheet forming analyses

Comparison of different error estimators for contact problems

Comparison of the macroscopic behavior of granular materials modeled by different constitutive equations on the microscale

Computational Contact Mechanics

Computational and theoretical aspects of a grain-boundary model that accounts for grain misorientation and grain-boundary orientation

Computational contact mechanics

scholarly article by Peter Wriggers published 24 May 2012 in Computational Mechanics

Computational homogenization of micro-structural damage due to frost in hardened cement paste

Computational homogenization of rubber friction on rough rigid surfaces

Computational micro-macro material testing

Computational thermal homogenization of concrete

Consistent coupling of beam and shell models for thermo-elastic analysis

Consistent gradient formulation for a stable enhanced strain method for large deformations

Consistent linearization for path following methods in nonlinear fe analysis

Constant-free explicit error estimator with sharp upper error bound property for adaptive FE analysis in elasticity and fracture

Contact between 3D beams with rectangular cross-sections

Contact between rolling beams and flat surfaces

Contact between spheres and general surfaces

Contact constraints within coupled thermomechanical analysis—A finite element model

article

Contact treatment in isogeometric analysis with NURBS

Coupling Microscale Transport and Tissue Mechanics: Modeling Strategies for Arterial Multiphysics

Crack face contact for a hexahedral-based XFEM formulation

scholarly article by D. S. Mueller-Hoeppe et al published 25 March 2012 in Computational Mechanics

Degradation behaviour of LAE442-based plate-screw-systems in an in vitro bone model.

scientific article published on 7 January 2015

Delamination growth in composite laminates of variable stiffness

Delamination onset and growth in composite shells

Development of Magnesium Alloy Scaffolds to Support Biological Myocardial Grafts: A Finite Element Investigation

Development of Sponge Structure and Casting Conditions for Absorbable Magnesium Bone Implants

Development of a wrinkling algorithm for orthotropic membrane materials

article

Different a posteriori error estimators and indicators for contact problems

Direct Numerical Simulation of Particulate Flows Using a Fictitious Domain Method

Direct and inverse identification of constitutive parameters from the structure of soft tissues. Part 1: micro- and nanostructure of collagen fibers

scientific article published on 28 February 2018

Direct computation of instability points for contact problems

Dynamics – Formulas and Problems

article

Effective behaviour of elastic heterogeneous thin structures at finite deformations

scholarly article by S. Loehnert & Peter Wriggers published 5 October 2007 in Computational Mechanics

Efficient Low Order Virtual Elements for Anisotropic Materials at Finite Strains

Efficient virtual element formulations for compressible and incompressible finite deformations

Error controlled adaptive multiscale XFEM simulation of cracks

Error estimation for crack simulations using the XFEM

Experimental and numerical characterization of expanded glass granules

Experimental studies on the disappearance of subretinal fluid after episcleral buckling procedures without drainage

scientific article published on 01 January 1987

FINITE ELEMENT ANALYSIS OF ENLARGED END PILES USING FRICTIONAL CONTACT

Fiber-reinforced materials: finite elements for the treatment of the inextensibility constraint

Finite Deformation Thermomechanical Contact Homogenization Framework

Finite and Virtual Element Formulations for Large Strain Anisotropic Material with Inextensive Fibers

Finite deformation post-buckling analysis involving inelasticity and contact constraints

Finite element algorithms for contact problems

scholarly article by Peter Wriggers published December 1995 in Archives of Computational Methods in Engineering

Finite element analysis of pile installation using large-slip frictional contact

Finite element formulation of large deformation impact-contact problems with friction

Finite element methods for contact problems with friction

Finite element modelling of orthotropic material behaviour in pneumatic membranes

Finite strain response of crimped fibers under uniaxial traction: An analytical approach applied to collagen

Foreword

scholarly article by Olivier Allix et al published 21 March 2008 in Computational Mechanics

Formulation and analysis of a three-dimensional finite element implementation for adhesive contact at the nanoscale

Frictional contact between 3D beams

Frictional contact of elastomer materials on rough rigid surfaces

Frictionless 2D Contact formulations for finite deformations based on the mortar method

scholarly article by K. A. Fischer & Peter Wriggers published 14 April 2005 in Computational Mechanics

Geometric adaption of biodegradable magnesium alloy scaffolds to stabilise biological myocardial grafts. Part I

scientific article published on 22 November 2013

Geometric adaption of resorbable myocardial stabilizing structures based on the magnesium alloys LA63 and ZEK100 for the support of myocardial grafts on the left ventricle

Homogenization in finite thermoelasticity

Homogenization of Granular Material Modeled by a 3D DEM

Homogenization of granular material modeled by a three-dimensional discrete element method

Homogenized thermal properties of 3D composites with full uncertainty in the microstructure

article published in 2016

Improved numerical algorithms for frictional contact in pile penetration analysis

Inelastic analysis of granular interfaces via computational contact homogenization

Intelligent Decision Support System for River Floodplain Management

Intelligent support of engineering analysis using ontology and case-based reasoning

Intelligent support of the preprocessing stage of engineering analysis using case-based reasoning

Interaction between different internal length scales for strain localisation analysis of single phase materials

Isogeometric contact: a review

article

Isogeometric frictionless contact analysis with the third medium method

Isogeometric large deformation frictionless contact using T-splines

Isogeometric symmetric Galerkin boundary element method for three-dimensional elasticity problems

Material Model Identification for DC04 Based on the Numerical Modelling of the Polycrystalline Microstructure and Experimental Data

Material instabilities of an incompressible elastic cube under triaxial tension

Mathematical Modeling and Numerical Simulation of Atherosclerosis Based on a Novel Surgeon’s View

scientific article published on 08 July 2021

Mechanics of Materials – Formulas and Problems

article

Meshless analysis of shear deformable shells: boundary and interface constraints

Mesoscale constitutive modeling of non-crystallizing filled elastomers

Mesoscale models for concrete: Homogenisation and damage behaviour

Methods to project plasticity models onto the contact surface applied to soil structure interactions

article by C. Weißenfels & Peter Wriggers published April 2015 in Computers and Geotechnics

Modeling and simulation of the decohesion of particulate aggregates in a binding matrix

Modelling of Soil Structure Interaction by Applying a Hypoplastic Material Behaviour Within Mortar Contact Formulation

Mortar based frictional contact formulation for higher order interpolations using the moving friction cone

Multi-scale Approach for Frictional Contact of Elastomers on Rough Rigid Surfaces

Multi-scale approach for frictional contact of elastomers on rough rigid surfaces

Multi-scale study of high-strength low-thermal-conductivity cement composites containing cenospheres

Multiscale FEM approach for hysteresis friction of rubber on rough surfaces

Multiscale diffusion–thermal–mechanical cohesive zone model for concrete

Multiscale hydro-thermo-chemo-mechanical coupling: Application to alkali–silica reaction

NURBS- and T-spline-based isogeometric cohesive zone modeling of interface debonding

NURBS-based geometries: A mapping approach for virtual serendipity elements

scientific article published in 2021

Node-to-segment and node-to-surface interface finite elements for fracture mechanics

Non-Local Ductile Damage Formulations for Sheet Bulk Metal Forming

Nonlinear stability-analysis of shell and contact-problems including branch-switching

scholarly article by E. Stein et al published 1990 in Computational Mechanics

Numerical Simulation of Particle-Fluid Systems

Numerical derivation of contact mechanics interface laws using a finite element approach for large 3D deformation

Numerical homogenization of hardened cement paste

scholarly article by M. Hain & Peter Wriggers published 21 August 2007 in Computational Mechanics

Numerical integration of viscoplastic material laws at large strains with application to impact problems

Numerical modeling of electrical contacts

scholarly article by C. Weißenfels & Peter Wriggers published 12 December 2009 in Computational Mechanics

Numerical multiscale modelling and experimental validation of low speed rubber friction on rough road surfaces including hysteretic and adhesive effects

Numerical simulation and experimental validation of biofilm in a multi-physics framework using an SPH based method

Numerical simulation of rapid crack propagation in viscoplastic materials

On a Mass Conservation Criterion in Micro-to-Macro Transitions

On a virtual element formulation for trusses and beams

scientific article published in 2022

On augmented Lagrangian algorithms for thermomechanical contact problems with friction

scholarly article by Giorgio Zavarise et al published 15 September 1995 in International Journal for Numerical Methods in Engineering

On enhanced strain methods for small and finite deformations of solids

scholarly article by Peter Wriggers & J. Korelc published December 1996 in Computational Mechanics

On perturbation behaviour in non-linear dynamics

article

On practical integration of semi-discretized nonlinear equations of motion. Part 1: reasons for probable instability and improper convergence

article by Aram Soroushian et al published June 2005 in Journal of Sound and Vibration

On the Four-node Quadrilateral Element

On the adaptive finite element method of steady-state rolling contact for hyperelasticity in finite deformations

On the computation of the macroscopic tangent for multiscale volumetric homogenization problems

On the coupled thermomechanical treatment of necking problems via finite element methods

On the design of energy–momentum integration schemes for arbitrary continuum formulations. Applications to classical and chaotic motion of shells

On the effects of microstress on macroscopic diffusion processes

On the error indication of shells in unilateral frictionless contact

On the incompressible constraint of the 4-node quadrilateral element

On the optimality of the window method in computational homogenization

article published in 2013

On the stability analysis of hyperelastic boundary value problems using three- and two-field mixed finite element formulations

article published in 2017

On the stabilization of the rectangular 4-node quadrilateral element

On the treatment of nonlinear unilateral contact problems

article published in 1993

Polygonal finite element methods for contact-impact problems on non-conformal meshes

Practical Integration of Semidiscretized Nonlinear Equations of Motion: Proper Convergence for Systems with Piecewise Linear Behavior

Preface

Preface

Preface of the guest-editors

Random homogenization analysis for heterogeneous materials with full randomness and correlation in microstructure based on finite element method and Monte-carlo method

Random homogenization analysis in linear elasticity based on analytical bounds and estimates

article

Real contact mechanisms and finite element formulation—a coupled thermomechanical approach

Reliability-based optimization of trusses with random parameters under dynamic loads

scholarly article by Juan Ma et al published 4 January 2011 in Computational Mechanics

Response of a nonlinear elastic general Cosserat brick element in simulations typically exhibiting locking and hourglassing

scholarly article by S. Loehnert et al published 18 May 2005 in Computational Mechanics

Self-actuating fiber composites for auto-adaptive structures

Simulation of sheet-bulk metal forming processes with simufact.forming using user-subroutines

Smooth C1‐interpolations for two‐dimensional frictional contact problems

Special issue on computational methods for interface mechanical problems

scholarly article by Marco Paggi et al published 7 August 2012 in Computational Mechanics

Special issue on fracture and contact mechanics for interface problems

Stability of rods with unilateral constraints, a finite element solution

Stabilization algorithm for the optimal transportation meshfree approximation scheme

article published in 2018

Statics – Formulas and Problems

article

Stiffness and strength of hierarchical polycrystalline materials with imperfect interfaces

Stochastic homogenized effective properties of three-dimensional composite material with full randomness and correlation in the microstructure

Stochastic multiscale homogenization analysis of heterogeneous materials under finite deformations with full uncertainty in the microstructure

Strategies to Apply Soil Models Directly as Friction Laws in Soil Structure Interactions

Structural dynamic optimal design based on dynamic reliability

Study on Contact Characteristic of Nanoscale Asperities by Using Molecular Dynamics Simulations

Texture development and formability prediction for pre-textured cold rolled body-centred cubic steel

article

The analyses of dynamic response and reliability of fuzzy-random truss under stationary stochastic excitation

scholarly article by Juan Ma et al published 12 January 2010 in Computational Mechanics

The consistent strain method in finite element plasticity

article by L. Bernspång et al published January 1995 in Computers and Structures

The quadrilateral parametric contact element based on the moving friction cone formulation

Theory and numerics of thin elastic shells with finite rotations

Thermal contact conductance characterization via computational contact homogenization: A finite deformation theory framework

article published in 2010

Thermo-mechanical behaviour of rubber materials during vulcanization

Thermoelastic stability of trusses with temperature-dependent constitutive relations

Thermomechanical contact—a rigorous but simple numerical approach

Thin shells with finite rotations formulated in biot stresses: Theory and finite element formulation

Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS

Towards the effective behaviour of polycrystalline materials for sheet bulk metal forming processes

Virtual Elements for computational anisotropic crystal plasticity

scientific article published in 2023

XFEM ANALYSIS – INCLUDING BUCKLING – OF COMPOSITE SHELLS CONTAINING DELAMINATION