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Compatibility and the genesis of residual stress by volumetric growth

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Biomechanics
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The Linear Theory of Elasticity
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The Linear Theory of Elasticity
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Growth as A Finite Displacement Field
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On the determination of residual stress in an elastic body
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On the derivative of the square root of a tensor and Guo's rate theorems
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Compatibility conditions for a left Cauchy-Green strain field
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The constitutive equation for finite deformations of a transversely isotropic hyperelastic material with residual stress
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Theory of thermal stresses
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Foundations of solid mechanics
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The history of some fundamental concepts in bone biomechanics
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Stress-dependent finite growth in soft elastic tissues
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Large elastic deformations and non-linear continuum mechanics
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Kinematics of plant growth
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A Treatise on the Mathematical Theory of Elasticity
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Barriers to Drug Delivery in Solid Tumors
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Theory of Thermal Stresses
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Bone Stress Adaptation Models
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Theory of Dislocations (2nd ed.)
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Tensor Calculus
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Biomechanics: motion, flow, stress, and growth

What points at this work

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Experimental and computational analyses reveal dynamics of tumor vessel cooption and optimal treatment strategies
inferred← citeshttps://doi.org/10.1080/10273660290015233openalex-snapshot
Breast Cancer: Modelling and Detection
inferred← citeshttps://doi.org/10.1080/1061186x.2018.1452243openalex-snapshot
Cyclopamine treatment disrupts extracellular matrix and alleviates solid stress to improve nanomedicine delivery for pancreatic cancer
inferred← citeshttps://doi.org/10.1080/14786430500363874openalex-snapshot
Some issues related to growth and goal functions for continuum biological systems
inferred← citeshttps://doi.org/10.1088/1742-6596/487/1/012012openalex-snapshot
Simulating Thin Sheets: Buckling, Wrinkling, Folding and Growth
inferred← citeshttps://doi.org/10.1088/2516-1091/ab9a29openalex-snapshot
Biochemomechanics of the thoracic aorta in health and disease
inferred← citeshttps://doi.org/10.1090/conm/492/09633openalex-snapshot
Multiphase and individual cell-based models of tumour growth
inferred← citeshttps://doi.org/10.1093/imammb/dql009openalex-snapshot
Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development
inferred← citeshttps://doi.org/10.1093/jxb/ert176openalex-snapshot
On the role of stress anisotropy in the growth of stems
inferred← citeshttps://doi.org/10.1093/qjmam/hbn026openalex-snapshot
Inverse membrane problems in elasticity
inferred← citeshttps://doi.org/10.1098/rsif.2024.0797openalex-snapshot
Tissue stresses caused by invasive tumour: a biomechanical model
inferred← citeshttps://doi.org/10.1098/rspa.2019.0364openalex-snapshot
Biomechanical modelling of spinal tumour anisotropic growth
inferred← citeshttps://doi.org/10.1098/rsta.2009.0114openalex-snapshot
Differential growth and residual stress in cylindrical elastic structures
inferred← citeshttps://doi.org/10.1103/physrevlett.94.198103openalex-snapshot
Differential Growth and Instability in Elastic Shells
inferred← citeshttps://doi.org/10.1109/access.2019.2929021openalex-snapshot
A New Poroelastography Method to Assess the Solid Stress Distribution in Cancers
inferred← citeshttps://doi.org/10.1109/jtehm.2019.2932059openalex-snapshot
Non-Invasive Imaging of Normalized Solid Stress in Cancers in Vivo
inferred← citeshttps://doi.org/10.1114/1.1554923openalex-snapshot
Interstitial Stress and Fluid Pressure Within a Growing Tumor
inferred← citeshttps://doi.org/10.1115/1.1427925openalex-snapshot
Multiphase Mechanics of Capsule Formation in Tumors
inferred← citeshttps://doi.org/10.1115/1.2936922openalex-snapshot
The Buckling of a Swollen Thin Gel Layer Bound to a Compliant Substrate
inferred← citeshttps://doi.org/10.1115/1.3049863openalex-snapshot
Mechanisms of Residual Stress in Soft Tissues
inferred← citeshttps://doi.org/10.1115/1.3090829openalex-snapshot
The Kinematics of Biological Growth
inferred← citeshttps://doi.org/10.1115/1.4000124openalex-snapshot
A Phenomenological Model for Mechanically Mediated Growth, Remodeling, Damage, and Plasticity of Gel-Derived Tissue Engineered Blood Vessels
inferred← citeshttps://doi.org/10.1115/1.4002427openalex-snapshot
Review on the Constitutive Models of Tumor Tissue for Computational Analysis
inferred← citeshttps://doi.org/10.1115/1.4034991openalex-snapshot
The Solid Mechanics of Cancer and Strategies for Improved Therapy
inferred← citeshttps://doi.org/10.1137/040607113openalex-snapshot
A Mixture Theory for the Genesis of Residual Stresses in Growing Tissues I: A General Formulation
inferred← citeshttps://doi.org/10.1137/080731785openalex-snapshot
Modeling Growth in Biological Materials
inferred← citeshttps://doi.org/10.1140/epje/i2016-16092-7openalex-snapshot
On the morphological stability of multicellular tumour spheroids growing in porous media
inferred← citeshttps://doi.org/10.1140/epjp/i2015-15224-0openalex-snapshot
The role of pressure in cancer growth
inferred← citeshttps://doi.org/10.1142/s0218202502001714openalex-snapshot
A CONSTRAINED MIXTURE MODEL FOR GROWTH AND REMODELING OF SOFT TISSUES
inferred← citeshttps://doi.org/10.1146/annurev-bioeng-071813-105259openalex-snapshot
The Role of Mechanical Forces in Tumor Growth and Therapy
inferred← citeshttps://doi.org/10.1146/annurev-bioeng-071910-124726openalex-snapshot
Continuum Mixture Models of Biological Growth and Remodeling: Past Successes and Future Opportunities
inferred← citeshttps://doi.org/10.1146/annurev-cellbio-101512-122340openalex-snapshot
Mechanobiology and Developmental Control
inferred← citeshttps://doi.org/10.1146/annurev-chembioeng-060713-040016openalex-snapshot
Toward the Directed Self-Assembly of Engineered Tissues
inferred← citeshttps://doi.org/10.1146/annurev.bioeng.6.040803.140250openalex-snapshot
Tissue Growth and Remodeling
inferred← citeshttps://doi.org/10.1152/physiol.00030.2014openalex-snapshot
Multiscale Models in the Biomechanics of Plant Growth
inferred← citeshttps://doi.org/10.1158/0008-5472.22396140openalex-snapshot
Supplementary Material from Coevolution of Solid Stress and Interstitial Fluid Pressure in Tumors During Progression: Implications for Vascular Collapse
inferred← citeshttps://doi.org/10.1158/0008-5472.22396140.v1openalex-snapshot
Supplementary Material from Coevolution of Solid Stress and Interstitial Fluid Pressure in Tumors During Progression: Implications for Vascular Collapse
inferred← citeshttps://doi.org/10.1158/0008-5472.can-12-4521openalex-snapshot
Coevolution of Solid Stress and Interstitial Fluid Pressure in Tumors During Progression: Implications for Vascular Collapse
inferred← citeshttps://doi.org/10.11606/t.5.2011.tde-05052011-141217openalex-snapshot
Efeitos da sobrecarga hemodinâmica na bifurcação aórtica: desenvolvimento de um modelo murino de fadiga estrutural aneurismática
inferred← citeshttps://doi.org/10.1177/0954406211411867openalex-snapshot
Is there any similarity between tumour growth and thermal expansion?
inferred← citeshttps://doi.org/10.1177/108128650100600601openalex-snapshot
A Theory of Volumetric Growth for Compressible Elastic Biological Materials
inferred← citeshttps://doi.org/10.1177/10812865030084003openalex-snapshot
Volumetric Growth of Thermoelastic Materials and Mixtures
inferred← citeshttps://doi.org/10.1177/1081286508092010openalex-snapshot
Spontaneous Cavitation in Growing Elastic Membranes
inferred← citeshttps://doi.org/10.1177/1081286519826370openalex-snapshot
A displacement-based approach to geometric instabilities of a film on a substrate
inferred← citeshttps://doi.org/10.1177/10812865241243086openalex-snapshot
Homogenization of nonlinear Cosserat plate including growth theory when the thickness of the plate and the size of the in-plane heterogeneities are of the same order of magnitude
inferred← citeshttps://doi.org/10.1177/10812865261416109openalex-snapshot
Homogenization and dimensional reduction for nonlinear multilayered plates including biological growth when the plate thickness and the size of the heterogeneities are not of the same order of magnitude
inferred← citeshttps://doi.org/10.1177/1687814016679312openalex-snapshot
An approach to consider the arterial residual stresses in modelling of a patient-specific artery
inferred← citeshttps://doi.org/10.1209/0295-5075/95/64002openalex-snapshot
Creases in soft tissues generated by growth
inferred← citeshttps://doi.org/10.1371/journal.pone.0152806openalex-snapshot
A Finite Element Model for Mixed Porohyperelasticity with Transport, Swelling, and Growth
inferred← citeshttps://doi.org/10.1371/journal.pone.0331509openalex-snapshot
The impact of tumor microenvironment and treatment schedule on the effectiveness of radiation therapy
inferred← citeshttps://doi.org/10.18725/oparu-4364openalex-snapshot
Research report 2016
inferred← citeshttps://doi.org/10.24423/aom.246openalex-snapshot
Theory of residual stresses with application to an arterial geometry
inferred← citeshttps://doi.org/10.3109/03008207.2015.1047929openalex-snapshot
Remodeling of extracellular matrix due to solid stress accumulation during tumor growth
inferred← citeshttps://doi.org/10.3390/cancers14040884openalex-snapshot
Inducing Biomechanical Heterogeneity in Brain Tumor Modeling by MR Elastography: Effects on Tumor Growth, Vascular Density and Delivery of Therapeutics
inferred← citeshttps://doi.org/10.3390/fluids9090215openalex-snapshot
Reducing Flow Resistance via Introduction and Enlargement of Microcracks in Convection Enhanced Delivery (CED) in Porous Tumors
inferred← citeshttps://doi.org/10.3390/ma10090994openalex-snapshot
Growth Description for Vessel Wall Adaptation: A Thick-Walled Mixture Model of Abdominal Aortic Aneurysm Evolution
inferred← citeshttps://doi.org/10.3390/ma15249082openalex-snapshot
Bioactive Glasses as Carriers of Cancer-Targeted Drugs: Challenges and Opportunities in Bone Cancer Treatment
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